Output circuits for analog neural memories in deep learning artificial neural networks
By using nonvolatile memory arrays in artificial neural networks to achieve simulated neural memory, the problems of low energy efficiency and high cost in the prior art are solved, and efficient weight storage and calculation are realized, which is suitable for applications with high connection and parallel computing requirements.
Patent Information
- Application Number
- JP2024501685
- Authority / Receiving Office
- JP · JP
- Patent Type
- Patents
- Current Assignee / Owner
- Priority Date
- 2021-11-08
- Filing Date
- 2021-11-13
- Publication Date
- 2025-04-21
- Estimated Expiration
- 2041-11-13
AI Technical Summary
The lack of suitable hardware technologies in the development of high-performance artificial neural networks leads to low energy efficiency and high cost, especially in achieving high connectivity and parallel computing.
Using a nonvolatile memory array as the simulated neural memory of an artificial neural network, by implementing continuous simulation programming in the memory, each memory unit allows independent and precise adjustment of its memory state, thereby achieving efficient weight storage and calculation.
It realizes efficient weight storage and calculation, reduces energy consumption, and improves the performance and accuracy of artificial neural networks, and is suitable for applications with high connectivity and parallel computing requirements.
Smart Images

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Abstract
Description
[Technical field]
[0001] (Priority Claim) This application claims priority to U.S. Provisional Patent Application No. 63 / 228,529, entitled "Output Circuitry for Analog Neural Memory in a Deep Learning Artificial Neural Network," filed on August 2, 2021, and U.S. Patent Application No. 17 / 521,772, entitled "Output Circuitry for Analog Neural Memory in a Deep Learning Artificial Neural Network," filed on November 8, 2021.
[0002] FIELD OF THEINVENTION Numerous embodiments are disclosed for an output circuit for an analog neural memory in a deep learning artificial neural network. [Background technology]
[0003] Artificial neural networks mimic biological neural networks (the central nervous systems of animals, particularly the brain) and are used to estimate or approximate functions that may depend on multiple inputs and are generally unknown. Artificial neural networks generally contain layers of interconnected "neurons" that exchange messages between each other.
[0004] FIG. 1 shows an artificial neural network, where circles illustrate layers of inputs or neurons. The connections (called synapses) are represented by arrows and have numerical weights that can be tuned based on experience. This allows the neural network to adapt to the inputs and learn. Typically, a neural network includes multiple layers of inputs. There are typically one or more hidden layers of neurons, and an output layer of neurons that provide the output of the neural network. At each level, the neurons make decisions individually or collectively based on the data they receive from the synapses.
[0005] One of the main challenges in the development of artificial neural networks for high-performance information processing is the lack of suitable hardware technology. In practice, practical neural networks rely on a very large number of synapses, which allows high connectivity between neurons, i.e., a very high degree of parallelization of computation. In principle, such complexity can be achieved by digital supercomputers or dedicated graphic processing unit clusters. However, in addition to high costs, these approaches also suffer from poor energy efficiency compared to biological networks, which mainly perform low-precision analog computations and therefore consume much less energy. CMOS analog circuits have been used for artificial neural networks, but most CMOS-implemented synapses are too bulky given the large number of neurons and synapses.
[0006] Applicant previously disclosed an artificial (analog) neural network utilizing one or more non-volatile memory arrays as synapses in U.S. Patent Application Serial No. 15 / 594,439, which is incorporated by reference. The non-volatile memory array operates as an analog neural memory. The neural network device includes a first plurality of synapses configured to receive a first plurality of inputs and generate a first plurality of outputs therefrom, and a first plurality of neurons configured to receive the first plurality of outputs. The first plurality of synapses includes a plurality of memory cells, each of which includes spaced apart source and drain regions formed in a semiconductor substrate with a channel region extending therebetween, a floating gate insulated and disposed above a first portion of the channel region, and a non-floating gate insulated and disposed above a second portion of the channel region. Each of the plurality of memory cells is configured to store a weight value corresponding to a number of electrons in the floating gate. The plurality of memory cells is configured to multiply the first plurality of inputs by the stored weight values to generate the first plurality of outputs. Non-volatile Memory Cell
[0007] Non-volatile memories are well known. For example, U.S. Pat. No. 5,029,130 ("the '130 patent"), incorporated herein by reference, discloses an array of split-gate non-volatile memory cells, which are a type of flash memory cell. Such a memory cell 210 is shown in FIG. 2. Each memory cell 210 includes a source region 14 and a drain region 16 formed in a semiconductor substrate 12, with a channel region 18 between the source region 14 and the drain region 16. A floating gate 20 is formed over and insulated from a first portion of the channel region 18 (and controls the conductivity of the first portion of the channel region 18) and over a portion of the source region 14. A word line terminal 22 (typically coupled to a word line) has a first portion disposed over and insulated from a second portion of the channel region 18 (and controls the conductivity of the second portion of the channel region 18) and a second portion extending upwardly above the floating gate 20. A floating gate 20 and a wordline terminal 22 are insulated from the substrate 12 by a gate oxide. A bitline 24 is coupled to the drain region 16.
[0008] The memory cell 210 is erased (electrons are removed from the floating gate) by applying a high positive voltage to the wordline terminal 22, which causes electrons in the floating gate 20 to pass via Fowler-Nordheim (FN) tunneling from the floating gate 20 to the wordline terminal 22 through the insulator between them.
[0009] The memory cell 210 is programmed by hot electron source side injection (SSI) (electrons are injected into the floating gate) by applying a positive voltage to the word line terminal 22 and a positive voltage to the source region 14. Electrons flow from the drain region 16 towards the source region 14. The electrons accelerate and heat up when they reach the gap between the word line terminal 22 and the floating gate 20. Some of the heated electrons are injected into the floating gate 20 through the gate oxide due to electrostatic attraction from the floating gate 20.
[0010] The memory cell 210 is read by applying a positive read voltage to the drain region 16 and the word line terminal 22 (turning on the portion of the channel region 18 below the word line terminal). When the floating gate 20 is positively charged (i.e., erased with electrons), the portion of the channel region 18 below the floating gate 20 is also turned on and current flows through the channel region 18, which is sensed as the erased or "1" state. When the floating gate 20 is negatively charged (i.e., programmed with electrons), the portion of the channel region below the floating gate 20 is mostly or completely off and no (or very little) current flows through the channel region 18, which is sensed as the programmed or "0" state.
[0011] Table 1 shows typical voltage / current ranges that may be applied to the terminals of memory cell 110 to perform read, erase, and program operations. Table 1: Operation of the Flash Memory Cell 210 of FIG. [Table 1]
[0012] Other split-gate memory cell configurations are known, as are other types of flash memory cells. For example, FIG. 3 shows a four-gate memory cell 310 including a source region 14, a drain region 16, a floating gate 20 above a first portion of a channel region 18, a select gate 22 (typically coupled to a word line, WL) above a second portion of the channel region 18, a control gate 28 above the floating gate 20, and an erase gate 30 above the source region 14. This configuration is described in U.S. Pat. No. 6,747,310, which is incorporated herein by reference for all purposes. Here, all gates, except for the floating gate 20, are non-floating gates, i.e., they are electrically connected or connectable to a voltage source. Programming is performed by heated electrons injecting themselves from the channel region 18 into the floating gate 20. Erasing is performed by electrons tunneling from the floating gate 20 to the erase gate 30.
[0013] Table 2 shows typical voltage / current ranges that may be applied to the terminals of memory cell 310 to perform read, erase, and program operations. Table 2: Operation of the Flash Memory Cell 310 of FIG. [Table 2]
[0014] Figure 4 shows another type of flash memory cell, a three-gate memory cell 410. Memory cell 410 is identical to memory cell 310 of Figure 3, except that memory cell 410 does not have a separate control gate. Erase and read operations (where erasure occurs through the use of an erase gate) are similar to those of Figure 3, except that no control gate bias is applied. Programming operations are also performed without a control gate bias, and as a result, a higher voltage must be applied to the source line during a program operation to compensate for the lack of control gate bias.
[0015] Table 3 shows typical voltage / current ranges that may be applied to the terminals of memory cell 410 to perform read, erase, and program operations. Table 3: Operation of Flash Memory Cell 410 of FIG. [Table 3]
[0016] Figure 5 shows another type of flash memory cell, a stacked gate memory cell 510. The memory cell 510 is similar to the memory cell 210 of Figure 2, except that the floating gate 20 extends over the entire channel region 18, and the control gate 22 (where it is coupled to a word line) extends over the floating gate 20, separated by an insulating layer (not shown). Erasing is done by FN tunneling of electrons from the FG to the substrate, and programming is done by channel hot electron (CHE) injection in the region between the channel 18 and the drain region 16, by electrons flowing from the source region 14 towards the drain region 16, and by a read operation that is similar to the read operation of the memory cell 210 with a higher control gate voltage.
[0017] Table 4 shows typical voltage ranges that may be applied to the terminals of memory cell 510 and substrate 12 to perform read, erase, and program operations. Table 4: Operation of Flash Memory Cell 510 of FIG. [Table 4]
[0018] The methods and means described herein may be applied to other non-volatile memory technologies such as, but not limited to, FINFET split-gate flash or stack-gate flash memory, NAND flash, SONOS (silicon-oxide-nitride-oxide-silicon, charge traps in nitride), MONOS (metal-oxide-nitride-oxide-silicon, metal charge traps in nitride), ReRAM (resistive ram), PCM (phase change memory), MRAM (magnetic ram), FeRAM (ferroelectric ram), CT (charge trap) memory, CN (carbon-tube) memory, OTP (one time programmable, bi-level or multi-level one-time programmable) and CeRAM (correlated electron ram).
[0019] In order to utilize a memory array containing one of the non-volatile memory cell types in an artificial neural network as described above, two modifications are made: First, as explained further below, the lines are configured so that each memory cell can be individually programmed, erased, and read without adversely affecting the memory state of other memory cells in the array; Second, a continuous (analog) programming of the memory cells is provided.
[0020] Specifically, the memory state (i.e., the charge on the floating gate) of each memory cell in the array can be changed continuously from a fully erased state to a fully programmed state, independently and with minimal disturbance to other memory cells. In another embodiment, the memory state (i.e., the charge on the floating gate) of each memory cell in the array can be changed continuously from a fully programmed state to a fully erased state, and vice versa, independently and with minimal disturbance to other memory cells. This means that the cell storage is analog or can at a minimum store one of many discrete values (such as 16 or 64 different values), which allows every cell in the memory array to be very precisely and individually tunable, making the memory array ideal for storage and fine tuning adjustments to the synaptic weights of neural networks. Neural network using non-volatile memory cell arrays
[0021] 6 conceptually illustrates a non-limiting example of a neural network utilizing the non-volatile memory array of the present embodiment. This example uses a non-volatile memory array neural network for a face recognition application, although other suitable applications can also be implemented using a non-volatile memory array-based neural network.
[0022] S0 is the input layer, which in this example is a 32x32 pixel RGB image with 5-bit precision (i.e., three 32x32 pixel arrays, one for each color R, G, and B, each pixel with 5-bit precision). Synapse CB1 going from input layer S0 to layer C1 scans the input image with overlapping filters (kernels) of 3x3 pixels, applying different sets of weights to some instances and shared weights to other instances, and shifts the filters by one pixel (or two or more pixels depending on the model). Specifically, the values of the nine pixels in the 3x3 portion of the image (i.e., referred to as filters or kernels) are provided to synapse CB1, which multiplies these nine input values by the appropriate weights and, after summing the outputs of the multiplication, determines a single output value, which is given by the first synapse of CB1 to generate one pixel of the feature map of layer C1. The 3x3 filter is then shifted by one pixel to the right in the input layer S0 (i.e., adding a column of 3 pixels to the right and dropping a column of 3 pixels on the left), so that the 9 pixel values of this newly positioned filter are provided to synapse CB1, where they are multiplied by the same weights as above to determine a second single output value by the associated synapse. This process continues until the 3x3 filter scans the entire 32x32 pixel image of the input layer S0 for all three colors and all bits (precision values). The process is then repeated using different sets of weights to generate different feature maps of layer C1, until all feature maps of layer C1 have been calculated.
[0023] In this example, in layer C1, there are 16 feature maps, each with 30x30 pixels. Each pixel is a new feature pixel extracted from the multiplication of the input with a kernel, and thus each feature map is a two-dimensional array, and thus in this example, layer C1 constitutes 16 layers of two-dimensional arrays (note that layers and arrays referred to herein are logical, not necessarily physical, relationships, i.e., arrays are not necessarily oriented in a physical two-dimensional array). Each of the 16 feature maps in layer C1 is generated by one of 16 different sets of synaptic weights applied to the filter scans. The C1 feature maps can all target different aspects of the same image feature, such as boundary identification. For example, a first map (generated using a first set of weights shared by all scans used to generate this first map) can identify circular edges, and a second map (generated using a second set of weights different from the first set of weights) can identify rectangular edges or the aspect ratio of a particular feature, etc.
[0024] Before going from layer C1 to layer S1, an activation function P1 (pooling) is applied that pools values from non-overlapping, consecutive 2x2 regions in each feature map. The purpose of the pooling function P1 is to average nearby positions (or a max function can be used), e.g., to reduce edge position dependency, and to reduce data size before going to the next stage. In layer S1, there are 16 15x15 feature maps (i.e., 16 different arrays of 15x15 pixels each). The synapse CB2 going from layer S1 to layer C2 scans the maps in layer S1 with a 4x4 filter with a filter shift of 1 pixel. In layer C2, there are 22 12x12 feature maps. Before going from layer C2 to layer S2, an activation function P2 (pooling) is applied that pools values from non-overlapping, consecutive 2x2 regions in each feature map. In layer S2, there are 22 6x6 feature maps. At synapse CB3 going from layer S2 to layer C3, an activation function (pooling) is applied, where all neurons in layer C3 connect to all maps in layer S2 through respective synapses in CB3. There are 64 neurons in layer C3. Synapse CB4 going from layer C3 to output layer S3 fully connects C3 to S3, i.e. all neurons in layer C3 connect to all neurons in layer S3. The output at S3 contains 10 neurons, where the neuron with the highest output determines the class. This output can indicate, for example, the identification or classification of the content of the original image.
[0025] Each layer of the synapse is implemented using an array or a portion of an array of non-volatile memory cells.
[0026] FIG. 7 is a block diagram of an array that can be used for that purpose. A vector-by-matrix multiplication (VMM) array 32 contains non-volatile memory cells and is utilized as a synapse between one layer and the next (such as CB1, CB2, CB3, and CB4 in FIG. 6). Specifically, the VMM array 32 includes an array of non-volatile memory cells 33, an erase gate and word line gate decoder 34, a control gate decoder 35, a bit line decoder 36, and a source line decoder 37, which decode the respective inputs to the non-volatile memory cell array 33. Inputs to the VMM array 32 can come from the erase gate and word line gate decoder 34 or from the control gate decoder 35. The source line decoder 37 in this example also decodes the output of the non-volatile memory cell array 33. Alternatively, the bit line decoder 36 can decode the output of the non-volatile memory cell array 33.
[0027] The non-volatile memory cell array 33 serves two purposes. First, it stores the weights used by the VMM array 32. Second, the non-volatile memory cell array 33 effectively multiplies the inputs by the weights stored in the non-volatile memory cell array 33 and adds them for each output line (source line or bit line) to generate an output that becomes the input to the next layer or the input to the last layer. With the non-volatile memory cell array 33 performing the multiplication and addition functions, the need for separate multiplication and addition logic is eliminated and in-memory computation is also more power efficient.
[0028] The outputs of the non-volatile memory cell array 33 are provided to a differential summer (such as a summing op-amp or summing current mirror) 38, which sums the outputs of the non-volatile memory cell array 33 to create a single value for the convolution. The differential summer 38 is arranged to perform a summation of the positive and negative weights.
[0029] The summed output value of the differential adder 38 is then fed to an activation function block 39 which rectifies the output. The activation function block 39 may provide a sigmoid, tanh, or ReLU function. The rectified output value of the activation function block 39 becomes an element of a feature map as the next layer (e.g., C1 in FIG. 6) and is then applied to the next synapse to generate the next feature map layer or the last layer. Thus, in this example, the non-volatile memory cell array 33 constitutes a number of synapses (receiving inputs from a previous layer of neurons or from an input layer such as an image database), and the summing op-amp 38 and the activation function block 39 constitute a number of neurons.
[0030] The inputs to the VMM array 32 of FIG. 7 (WLx, EGx, CGx, and optionally BLx and SLx) may be analog levels, binary levels, or digital bits (in which case a DAC is provided to convert the digital bits to the appropriate input analog levels), and the outputs may be analog levels, binary levels, or digital bits (in which case an output ADC is provided to convert the output analog levels to digital bits).
[0031] FIG. 8 is a block diagram illustrating the use of multiple layers of VMM array 32, labeled in the figure as VMM arrays 32a, 32b, 32c, 32d, and 32e. As shown in FIG. 8, an input (denoted Inputx) is converted from digital to analog by a digital-to-analog converter 31 and provided to input VMM array 32a. The converted analog input can be a voltage or a current. The first layer input D / A conversion can be done by using a function or a look up table (LUT) that maps the input Inputx to the appropriate analog level of the matrix multiplier of input VMM array 32a. The input conversion can also be done by an analog to analog (A / A) converter to convert an external analog input to the mapped analog input to input VMM array 32a.
[0032] The output generated by the input VMM array 32a is then provided as input to the next VMM array (hidden level 1) 32b, which in turn generates an output that is provided as input to the input VMM array (hidden level 2) 32c, and so on. The various layers of the VMM array 32 function as layers of synapses and neurons of a convolutional neural network (CNN). Each VMM array 32a, 32b, 32c, 32d, and 32e can be a standalone physical non-volatile memory array, or the multiple VMM arrays can utilize different portions of the same physical non-volatile memory array, or the multiple VMM arrays can utilize overlapping portions of the same physical non-volatile memory array. The example shown in FIG. 8 includes five layers (32a, 32b, 32c, 32d, 32e): one input layer (32a), two hidden layers (32b, 32c), and two fully connected layers (32d, 32e). Those skilled in the art will appreciate that this is merely an example, and that the system may instead include more than two hidden layers and more than two fully connected layers. Vector Matrix Multiplication (VMM) Array
[0033] 9 shows a neuron VMM array 900 that is particularly suited for the memory cells 310 shown in FIG. 3 and is utilized as part of the synapses and neurons between the input layer and the next layer. The VMM array 900 includes a memory array 901 of non-volatile memory cells and a reference array 902 of non-volatile reference memory cells (located at the top of the array). Alternatively, a separate reference array can be located at the bottom.
[0034] In the VMM array 900, control gate lines such as control gate line 903 run vertically (so that the row-wise reference array 902 is orthogonal to control gate line 903) and erase gate lines such as erase gate line 904 run horizontally. Here, inputs to the VMM array 900 are provided on the control gate lines (CG0, CG1, CG2, CG3) and outputs of the VMM array 900 appear on the source lines (SL0, SL1). In one embodiment, only the even rows are used, and in another embodiment, only the odd rows are used. The current in each source line (SL0, SL1 respectively) performs a function of the sum of all the currents from the memory cells connected to that particular source line.
[0035] As described herein for neural networks, the non-volatile memory cells of the VMM array 900, namely the memory cells 310 of the VMM array 900, are preferably configured to operate in the sub-threshold region.
[0036] The non-volatile reference memory cells and non-volatile memory cells described herein are biased in weak inversion (sub-threshold region) as follows: Ids=Io * e (Vg-Vth) / nVt =w * Io * e (Vg) / nVt In the formula, w=e (-Vth) / nVt and where Ids is the drain-source current, Vg is the gate voltage of the memory cell, Vth is the threshold voltage of the memory cell, and Vt is the thermal voltage = k * where T / q, k is the Boltzmann constant, T is temperature in Kelvin, q is the electron charge, n is the slope coefficient = 1 + (Cdep / Cox), Cdep = capacitance of the depletion layer, and Cox is the capacitance of the gate oxide layer, Io is the memory cell current at a gate voltage equal to the threshold voltage, and Io is (Wt / L) * u * Cox * (n-1) * Vt 2where u is the carrier mobility, and Wt and L are the width and length of the memory cell, respectively.
[0037] When using an IV-log converter that uses memory cells (such as reference or peripheral memory cells) or transistors to convert the input current to an input voltage: Vg=n * Vt * log[Ids / wp * Io] where wp is the w of the reference or periphery memory cell.
[0038] For a memory array used as a vector matrix multiplier VMM array with current inputs, the output current is: Iout=wa * Io * e (Vg) / nVt , i.e. Iout = (wa / wp) * Iin=W * Iin W=e (Vthp-Vtha) / nVt where wa=w of each memory cell in the memory array. Vthp is the effective threshold voltage of the peripheral memory cells and Vtha is the effective threshold voltage of the main (data) memory cells. Note that the threshold voltage of a transistor is a function of the substrate body bias voltage, which is designated Vsb, and can be modulated to compensate for various conditions at such temperature. The threshold voltage Vth can be expressed as: TIFF0007665862000005.tif22170
[0039] The word line or control gate can be used as the input of the memory cell for an input voltage.
[0040] Alternatively, the flash memory cells of the VMM arrays described herein can be configured to operate in the linear region. Ids=Beta * (Vgs-Vth) *Vds; beta = u * Cox * Wt / L W ∝ (Vgs-Vth) That is, the weight W in the linear region is proportional to (Vgs-Vth).
[0041] The word line or control gate or bit line or source line can be used as the input of a memory cell operating in the linear region. The bit line or source line can be used as the output of the memory cell.
[0042] For an IV linear converter, memory cells (such as reference or peripheral memory cells) or transistors operating in the linear region can be used to linearly convert the input and output currents to input and output voltages.
[0043] Alternatively, the memory cells of the VMM arrays described herein can be configured to operate in the saturation region. Ids=1 / 2 * beta * (Vgs-Vth) 2 ;beta=u * Cox * Wt / L W ∝ (Vgs-Vth) 2 , that is, the weight W is (Vgs-Vth) 2 Proportional to
[0044] The word lines, control gates, or erase gates can be used as inputs for memory cells operating in the saturation region, and the bit lines or source lines can be used as outputs for output neurons.
[0045] Alternatively, the memory cells of the VMM arrays described herein may be used in all regions or combinations thereof (sub-threshold, linear, or saturation) for each layer or layers of a neural network.
[0046] Other embodiments for the VMM array 32 of Figure 7 are described in U.S. Patent No. 10,748,630, which is incorporated herein by reference. As described in that application, the source lines or bit lines can be used as neuron outputs (current sum outputs).
[0047] FIG. 10 shows a neuron VMM array 1000, which is particularly suitable for the memory cells 210 shown in FIG. 2 and is used as a synapse between an input layer and the next layer. The VMM array 1000 includes a memory array 1003 of non-volatile memory cells, a reference array 1001 of a first non-volatile reference memory cell, and a reference array 1002 of a second non-volatile reference memory cell. The reference arrays 1001 and 1002 arranged in the columns of the array function to convert the current inputs flowing into terminals BLR0, BLR1, BLR2, and BLR3 into voltage inputs WL0, WL1, WL2, and WL3. In practice, the first and second non-volatile reference memory cells are diode-connected through a multiplexer 1014 (only partially shown) with the current inputs flowing into them. The reference cells are tuned (e.g., programmed) to a target reference level. The target reference level is provided by a reference mini-array matrix (not shown).
[0048] The memory array 1003 serves two purposes. First, it stores the weights in each memory cell that are used by the VMM array 1000. Second, it effectively multiplies the inputs (i.e., the current inputs provided to terminals BLR0, BLR1, BLR2, and BLR3, which the reference arrays 1001 and 1002 convert to input voltages that are provided to the word lines WL0, WL1, WL2, and WL3) by the weights stored in the memory array 1003, and then adds all the results (memory cell currents) to generate outputs on the respective bit lines (BL0-BLN), which are the inputs to the next layer or the inputs to the last layer. By performing the multiplication and addition functions, the memory array 1003 eliminates the need for separate multiplication and addition logic and is also power efficient. Here, voltage inputs are provided to word lines WL0, WL1, WL2, and WL3, and outputs appear on respective bit lines BL0-BLN during a read (inference) operation. The current in each of the bit lines BL0-BLN performs a function of the sum of the currents from all the non-volatile memory cells connected to that particular bit line.
[0049] Table 5 shows the operating voltages and currents for the VMM array 1000. The columns in the table show the voltages applied to the word line of the selected cell, the word lines of the unselected cells, the bit lines of the selected cells, the bit lines of the unselected cells, the source lines of the selected cells, and the source lines of the unselected cells. The rows show the operations of read, erase, and program. Table 5: Operation of VMM Array 1000 in Figure 10 [Table 5]
[0050] FIG. 11 shows a neuron VMM array 1100 that is particularly suited for the memory cells 210 shown in FIG. 2 and that are utilized as part of synapses and neurons between an input layer and the next layer. The VMM array 1100 includes a memory array 1103 of non-volatile memory cells, a reference array 1101 of first non-volatile reference memory cells, and a reference array 1102 of second non-volatile reference memory cells. The reference arrays 1101 and 1102 run in the row direction of the VMM array 1100. The VMM array is similar to the VMM 1000, except that the word lines run vertically in the VMM array 1100. Here, the inputs are the word lines (WLA0, WLB0, WLA1, WLB2, WLB3, WLB4, WLB5, WLB6, WLB7, WLB8, WLB9, WLB10, WLB11, WLB12, WLB13, WLB14, WLB15, WLB16, WLB17, WLB18, WLB19, WLB20, WLB21, WLB22, WLB23, WLB24, WLB25, WLB26, WLB27, WLB28, WLB29, WLB30, WLB31, WLB32, WLB33, WLB34, WLB35, WLB36, WLB37, WLB38, WLB39, WLB40, WLB41, WLB42, WLB43, WLB44, WLB45, WLB46, WLB47, WLB48, WLB50, WLB51, WLB52, WLB53, WLB54, WLB55, WLB56, WLB57, WLB58, WLB69, WLB61, WLB61, WLB61, WLB71, WLB82, WLB93, 1 , WLA2, WLB2, WLA3, WLB3) and the output appears on the source lines (SL0, SL1) during a read operation. The current on each source line performs a function of the sum of all the currents from the memory cells connected to that particular source line.
[0051] Table 6 shows the operating voltages and currents for VMM array 1100. The columns in the table show the voltages applied to the word line of the selected cell, the word lines of the unselected cells, the bit lines of the selected cells, the bit lines of the unselected cells, the source lines of the selected cells, and the source lines of the unselected cells. The rows show the read, erase, and program operations. Table 6: Operation of VMM Array 1100 in FIG. 11 [Table 6]
[0052] 12 shows a neuron VMM array 1200, which is particularly suited for the memory cells 310 shown in FIG. 3 and is used as part of synapses and neurons between the input layer and the next layer. The VMM array 1200 includes a memory array 1203 of non-volatile memory cells, a reference array 1201 of a first non-volatile reference memory cell, and a reference array 1202 of a second non-volatile reference memory cell. The reference arrays 1201 and 1202 function to convert current inputs flowing into terminals BLR0, BLR1, BLR2, and BLR3 into voltage inputs CG0, CG1, CG2, and CG3. In practice, the first and second non-volatile reference memory cells are diode-connected through a multiplexer 1212 (only a portion of which is shown), with the current inputs flowing through BLR0, BLR1, BLR2, and BLR3. Multiplexer 1212 includes a corresponding multiplexer 1205 and cascoding transistor 1204 to ensure a constant voltage on the respective bit lines (e.g., BLR0) of the first and second non-volatile reference memory cells during each read operation. The reference cells are tuned to a target reference level.
[0053] The memory array 1203 serves two purposes. First, it stores the weights used by the VMM array 1200. Second, it effectively multiplies the weights stored in the memory array by the inputs (current inputs provided to terminals BLR0, BLR1, BLR2, and BLR3, which the reference arrays 1201 and 1202 convert to input voltages to provide to the control gates (CG0, CG1, CG2, and CG3)) and then adds all the results (cell currents) to produce an output that appears on BL0-BLN and is the input to the next layer or the input to the last layer. Having the memory array perform the multiplication and addition functions eliminates the need for separate multiplication and addition logic and is also power efficient, where the inputs are provided to the control gate lines (CG0, CG1, CG2, and CG3) and the outputs appear on the bit lines (BL0-BLN) during read operations. The current in each bit line is a function of the sum of all the currents from the memory cells connected to that particular bit line.
[0054] The VMM array 1200 implements one-way tuning of the non-volatile memory cells in the memory array 1203. That is, each non-volatile memory cell is erased and then partially programmed until the desired charge on the floating gate is reached. If too much charge is added to the floating gate (such as if an incorrect value is stored in the cell), the cell is erased and the series of partial programming operations starts over. As shown, two rows that share the same erase gate (such as EG0 or EG1) are erased together (known as a page erase), and then each cell is partially programmed until the desired charge on the floating gate is reached.
[0055] Table 7 shows the operating voltages and currents for VMM array 1200. The columns in the table show the voltages applied to the word line of the selected cell, the word lines of the unselected cells, the bit line of the selected cell, the bit lines of the unselected cells, the control gate of the selected cell, the control gates of the unselected cells in the same sector as the selected cell, the control gates of the unselected cells in a different sector than the selected cell, the erase gate of the selected cell, the erase gates of the unselected cells, the source line of the selected cell, and the source lines of the unselected cells. The rows show the read, erase, and program operations. Table 7: Operation of VMM Array 1200 in FIG. 12 [Table 7]
[0056] 13 shows a neuron VMM array 1300 that is particularly suited for memory cells 310 shown in FIG. 3 and is used as part of synapses and neurons between an input layer and the next layer. The VMM array 1300 includes a memory array 1303 of non-volatile memory cells; The first non-volatile reference memory cell Reference Array 130 1 and, and a second reference array 1302 of non-volatile reference memory cells. EG lines EGR0, EG0, EG1, and EGR1 run vertically, while CG lines CG0, CG1, CG2, and CG3 and SL lines WL0, WL1, WL2, and WL3 run horizontally. VMM array 1300 is similar to VMM array 1400 except that VMM array 1300 implements bidirectional tuning, whereby each individual cell can be fully erased, partially programmed, and partially erased as needed to reach a desired amount of charge on its floating gate through the use of separate EG lines. As shown, reference arrays 1301 and 1302 convert input currents at terminals BLR0, BLR1, BLR2, and BLR3 into control gate voltages CG0, CG1, CG2, and CG3 (through the action of diode-connected reference cells via multiplexer 1314) that are applied to the memory cells in a row direction. The current outputs (neurons) are in bit lines BL0-BLN, each of which sums up all the currents from the non-volatile memory cells connected to that particular bit line.
[0057] Table 8 shows the operating voltages and currents for VMM array 1300. The columns in the table show the voltages applied to the word line of the selected cell, the word lines of the unselected cells, the bit line of the selected cell, the bit lines of the unselected cells, the control gate of the selected cell, the control gates of the unselected cells in the same sector as the selected cell, the control gates of the unselected cells in a different sector than the selected cell, the erase gate of the selected cell, the erase gates of the unselected cells, the source line of the selected cell, and the source lines of the unselected cells. The rows show the read, erase, and program operations. Table 8: Operation of VMM Array 1300 in FIG. 13 [Table 8]
[0058] 22 shows a neuron VMM array 2200 that is particularly suited for the memory cells 210 shown in FIG. 2 and is used as part of the synapses and neurons between the input layer and the next layer. In the VMM array 2200, inputs INPUT0... INPUT N are bit lines BL0, ...BL N and outputs OUTPUT1, OUTPUT2, OUTPUT3, and OUTPUT4 are generated at source lines SL0, SL1, SL2, and SL3, respectively.
[0059] 23 shows a neuron VMM array 2300 that is particularly suited for memory cells 210 shown in FIG. 2 and is utilized as part of the synapses and neurons between the input layer and the next layer. In this example, inputs INPUT0, INPUT1, INPUT2, and INPUT3 are received on source lines SL0, SL1, SL2, and SL3, respectively, and outputs OUTPUT0, ...OUTPUT N are bit lines BL0, ..., BL N is generated.
[0060] 24 shows a neuron VMM array 2400 that is particularly suited for the memory cells 210 shown in FIG. 2 and is used as part of the synapses and neurons between the input layer and the next layer. In this example, inputs INPUT0, ..., INPUT M are the word lines WL0, ..., WL M Received at output OUTPUT0, ... OUTPUT N are bit lines BL0, ..., BL N is generated.
[0061] 25 shows a neuron VMM array 2500 that is particularly suited for the memory cells 310 shown in FIG. 3 and is used as part of the synapses and neurons between the input layer and the next layer. In this example, inputs INPUT0, ..., INPUT M are the word lines WL0, ..., WL M Received at output OUTPUT0, ... OUTPUT Nare bit lines BL0, ..., BL N is generated.
[0062] 26 shows a neuron VMM array 2600 that is particularly suited for the memory cells 410 shown in FIG. 4 and is used as part of the synapses and neurons between the input layer and the next layer. In this example, the input INPUT 0、 ..., INPUT n are the vertical control gate lines CG0, ..., CG N and outputs OUTPUT1 and OUTPUT2 are generated on source lines SL0 and SL1.
[0063] 27 shows a neuron VMM array 2700 that is particularly suited for the memory cells 410 shown in FIG. 4 and is used as part of the synapses and neurons between the input layer and the next layer. In this example, inputs INPUT0, ..., INPUT N are bit lines BL0, ..., BL N , 2701-(N-1) and 2701-N, which are coupled to the gates of the bit line control gates 2701-1, 2701-2, ..., 2701-(N-1) and 2701-N. Exemplary outputs OUTPUT1 and OUTPUT2 are generated on source lines SL0 and SL1.
[0064] 28 shows a neuron VMM array 2800 that is particularly suitable for memory cells 310 shown in FIG. 3, memory cells 510 shown in FIG. 5, and memory cells 710 shown in FIG. 7, and is used as part of synapses and neurons between the input layer and the next layer. In this example, inputs INPUT0, ..., INPUT M are the word lines WL0, ..., WL M OUTPUT0, ..., OUTPUT N are bit lines BL0, ..., BL N is generated.
[0065] 29 shows a neuron VMM array 2900 that is particularly suitable for memory cells 310 shown in FIG. 3, memory cells 510 shown in FIG. 5, and memory cells 710 shown in FIG. 7, and is used as part of synapses and neurons between the input layer and the next layer. In this example, inputs INPUT0, ..., INPUT M are the control gate lines CG0, ..., CG M OUTPUT0, ..., OUTPUT N are the vertical source lines SL0, ..., SL N , and each source line SL i is coupled to the source lines of all memory cells in column i.
[0066] 30 shows a neuron VMM array 3000 that is particularly suitable for memory cells 310 shown in FIG. 3, memory cells 510 shown in FIG. 5, and memory cells 710 shown in FIG. 7, and is used as part of synapses and neurons between the input layer and the next layer. In this example, inputs INPUT0, ..., INPUT M are the control gate lines CG0, ..., CG M OUTPUT0, ..., OUTPUT N are vertical bit lines BL0, ..., BL N , and each bit line BL i is coupled to the bit lines of all memory cells in column i. Long and short term memory
[0067] Prior art includes a concept known as long short-term memory (LSTM). LSTM units are often used within neural networks. LSTM allows a neural network to store information for any given period of time and use that information in subsequent operations. A traditional LSTM unit includes a cell, an input gate, an output gate, and a forget gate. The three gates regulate the flow of information into and out of the cell, and the period of time that information is stored within the LSTM. VMMs are particularly useful in LSTM units.
[0068] FIG. 14 illustrates an exemplary LSTM 1400. The LSTM 1400 in this example includes cells 1401, 1402, 1403, and 1404. Cell 1401 receives an input vector x0 and generates an output vector h0 and a cell state vector c0. Cell 1402 receives an input vector x1, an output vector (hidden state) h0 from cell 1401, and a cell state c0 from cell 1401, and generates an output vector h1 and a cell state vector c1. Cell 1403 receives an input vector x2, an output vector (hidden state) h1 from cell 1402, and a cell state c1 from cell 1402, and generates an output vector h2 and a cell state vector c2. Cell 1404 receives an input vector x3, an output vector (hidden state) h2 from cell 1403, and a cell state c2 from cell 1403, and generates an output vector h3. Additional cells can be used, the LSTM with four cells is just an example.
[0069] Figure 15 shows an example implementation of an LSTM cell 1500 that can be used for cells 1401, 1402, 1403, and 1404 in Figure 14. The LSTM cell 1500 receives an input vector x(t), a cell state vector c(t-1) from a previous cell, and an output vector h(t-1) from a previous cell, and produces a cell state vector c(t) and an output vector h(t).
[0070] LSTM cell 1500 includes sigmoid function devices 1501, 1502, and 1503, each of which applies a number between 0 and 1 to control the degree to which each component of the input vector contributes to the output vector. LSTM cell 1500 also includes tanh devices 1504 and 1505 for applying a hyperbolic tangent function to the input vector, multiplier devices 1506, 1507, and 1508 for multiplying two vectors, and adder device 1509 for adding the two vectors. The output vector h(t) can be provided to the next LSTM cell in the system or can be accessed for other purposes.
[0071] FIG. 16 shows an example of an implementation of the LSTM cell 1500, the LSTM cell 1600. For the convenience of the reader, the same numbering scheme from the LSTM cell 1500 is used in the LSTM cell 1600. The sigmoid function devices 1501, 1502, and 1503, and the tanh device 1504 each include multiple VMM arrays 1601 and activation function blocks 1602. Thus, the VMM array proves to be particularly useful in LSTM cells used in certain neural network systems. The multiplier devices 1506, 1507, and 1508, and the adder device 1509 are implemented in a digital or analog manner. The activation function block 1602 can be implemented in a digital or analog manner.
[0072] An alternative example of LSTM cell 1600 (and another example of one implementation of LSTM cell 1500) is shown in Figure 17. In Figure 17, sigmoid function devices 1501, 1502, and 1503, and tanh device 1504 share the same physical hardware (VMM array 1701 and activation function block 1702) in a time-multiplexed manner. LSTM cell 1700 also includes a multiplier device 1703 for multiplying two vectors, an adder device 1708 for adding two vectors, a tanh device 1505 (which includes activation function block 1702), a register 1707 for storing the value i(t) as it is output from sigmoid function block 1702, and a register 1708 for storing the value f(t). * a register 1704 for storing c(t-1) as that value is output from the multiplier device 1703 via a multiplexer 1710; * A register 1705 for storing u(t) as its value is output from the multiplier device 1703 via a multiplexer 1710; * It includes a register 1706 for storing {tilde over (c)}(t) as its value is output from the multiplier device 1703 via a multiplexer 1710, and a multiplexer 1709.
[0073] Whereas LSTM cell 1600 includes multiple sets of VMM arrays 1601 and respective activation function blocks 1602, LSTM cell 1700 includes only one set of VMM arrays 1701 and activation function blocks 1702, which are used to represent multiple layers in embodiments of LSTM cell 1700. LSTM cell 1700 requires less space than LSTM cell 1600 because LSTM cell 1700 requires ¼ the space for the VMMs and activation function blocks compared to LSTM cell 1600.
[0074] It can be further appreciated that an LSTM unit typically includes multiple VMM arrays, each of which requires functionality provided by specific circuit blocks outside the VMM array, such as adder and activation function blocks and high voltage generation blocks. Providing separate circuit blocks for each VMM array would require a significant amount of space within a semiconductor device and would be somewhat inefficient. Thus, the embodiments described below reduce the circuitry required outside the VMM array itself. Gated Recurrent Unit
[0075] Analog VMM implementations can be used for gated recurrent unit (GRU) systems. GRUs are a gating mechanism in recurrent neural networks. GRUs are similar to LSTMs, except that GRU cells generally contain fewer components than LSTM cells.
[0076] 18 illustrates an exemplary GRU 1800. The GRU 1800 in this example includes cells 1801, 1802, 1803, and 1804. Cell 1801 receives input vector x0 and generates output vector h0. Cell 1802 receives input vector x1 and output vector h0 from cell 1801 and generates output vector h1. Cell 1803 receives input vector x2 and output vector (hidden state) h1 from cell 1802 and generates output vector h2. Cell 1804 receives input vector x3 and output vector (hidden state) h2 from cell 1803 and generates output vector h3. Additional cells may be used, and a GRU with four cells is merely an example.
[0077] FIG. 19 illustrates an example implementation of a GRU cell 1900 that may be used for cells 1801, 1802, 1803, and 1804 of FIG. 18. GRU cell 1900 receives an input vector x(t) and an output vector h(t-1) from a preceding GRU cell and generates an output vector h(t). GRU cell 1900 includes sigmoid function devices 1901 and 1902, each of which applies a number from 0 to 1 to the output vector h(t-1) and components from the input vector x(t). GRU cell 1900 also includes a tanh device 1903 for applying a hyperbolic tangent function to the input vector, a number of multiplier devices 1904, 1905, and 1906 for multiplying two vectors, an adder device 1907 for adding the two vectors, and a complement device 1908 for subtracting the input from 1 to generate an output.
[0078] FIG. 20 shows a GRU cell 2000, which is an example of one implementation of the GRU cell 1900. For the convenience of the reader, the same numbering method from the GRU cell 1900 is used in the GRU cell 2000. As can be seen from FIG. 20, the sigmoid function devices 1901 and 1902 and the tanh device 1903 each include a plurality of VMM arrays 2001 and activation function blocks 2002. Therefore, it can be seen that the VMM array is particularly used in the GRU cell used in a specific neural network system. The multiplier devices 1904, 1905, 1906, the adder device 1907, and the complementary device 1908 are implemented in a digital or analog manner. The activation function block 2002 can be implemented in a digital or analog manner.
[0079] An alternative example of GRU cell 2000 (and another example of one implementation of GRU cell 1900) is shown in FIG. 21. In FIG. 21, GRU cell 2100 utilizes a VMM array 2101 and an activation function block 2102, which, when configured as a sigmoid function, applies a number between 0 and 1 to control how much each component of the input vector contributes to the output vector. In FIG. 21, sigmoid function devices 1901 and 1902, and tanh device 1903 share the same physical hardware (VMM array 2101 and activation function block 2102) in a time-multiplexed manner. GRU cell 2100 also includes a multiplier device 2103 for multiplying two vectors together, an adder device 2105 for adding two vectors together, a complementary device 2109 for subtracting the input from 1 to generate the output, a multiplexer 2104, and a value h(t-1) * A register 2106 for holding r(t) as its value is output from the multiplier device 2103 via multiplexer 2104, and a value h(t-1) * A register 2107 for holding z(t) as its value is output from the multiplier device 2103 via multiplexer 2104, and a register 2108 for holding the value ĥ(t) *and a register 2108 for holding (1-z((t)) as its value is output from the multiplier device 2103 via multiplexer 2104.
[0080] Whereas GRU cell 2000 includes multiple sets of VMM array 2001 and activation function blocks 2002, GRU cell 2100 includes only one set of VMM array 2101 and activation function blocks 2102, which are used to represent multiple tiers in an embodiment of GRU cell 2100. GRU cell 2100 requires less space than GRU cell 2000 because GRU cell 2100 requires ⅓ of the space for the VMM and activation function blocks compared to GRU cell 2000.
[0081] It can be further appreciated that a GRU system typically includes multiple VMM arrays, each of which requires functionality provided by specific circuit blocks outside the VMM array, such as adder and activation function blocks and high voltage generation blocks. Providing separate circuit blocks for each VMM array would require a significant amount of space within a semiconductor device and would be somewhat inefficient. Thus, the embodiments described below reduce the circuitry required outside the VMM array itself.
[0082] The input to the VMM array can be an analog level, a binary level, a pulse, a time modulated pulse, or a digital bit (in this case a DAC is required to convert the digital bit to the appropriate input analog level), and the output can be an analog level, a binary level, a timing pulse, a pulse, or a digital bit (in this case an output ADC is required to convert the output analog level to a digital bit).
[0083] For each memory cell in the VMM array, each weight W can be implemented by a single memory cell, or by a differential cell, or by two blended memory cells (average of two cells). In the case of a differential cell, two memory cells are required to implement the weight W as a differential weight (W=W+-W-). In the case of two blended memory cells, two memory cells are required to implement the weight W as the average of two cells.
[0084] FIG. 31 illustrates a VMM system 3100. In some embodiments, the weights W stored in the VMM array are stored as a differential pair, W+ (positive weight) and W− (negative weight), where W=(W+)−(W−). In the VMM system 3100, half of the bit lines are designated as W+ lines, i.e., bit lines that connect to memory cells that store a positive weight W+, and the other half of the bit lines are designated as W− lines, i.e., bit lines that connect to memory cells that implement a negative weight W−. The W− lines are interspersed alternately among the W+ lines. The subtraction operation is performed by summing circuits, such as summing circuits 3101 and 3102, that receive currents from the W+ and W− lines. The output of the W+ lines and the output of the W− lines are combined together to effectively give W=W+−W− for each pair of (W+, W−) cells of every pair of (W+, W−) lines. Although described thus far with respect to W- lines interspersed alternatingly among W+ lines, in other embodiments the W+ and W- lines may be arbitrarily positioned anywhere within the array.
[0085] 32 shows another embodiment. In a VMM system 3210, the positive weights W+ are implemented in a first array 3211 and the negative weights W− are implemented in a second array 3212 that is separate from the first array, and the resulting weights are appropriately combined together by a summing circuit 3213.
[0086] FIG. 33 illustrates a VMM system 3300. The weights W stored in the VMM array are stored as a differential pair, W+ (positive weight) and W- (negative weight), where W=(W+)-(W-). The VMM system 3300 comprises an array 3301 and an array 3302. Half of the bit lines in each of the arrays 3301 and 3302 are designated as W+ lines, i.e., bit lines that connect to memory cells that store a positive weight W+, and the other half of the bit lines in each of the arrays 3301 and 3302 are designated as W- lines, i.e., bit lines that connect to memory cells that implement a negative weight W-. The W- lines are interspersed alternately among the W+ lines. Subtraction operations are performed by adder circuits, such as adder circuits 3303, 3304, 3305, and 3306, that receive current from the W+ and W- lines. The output of the W+ line and the output of the W- line from each array 3301, 3302, respectively, are combined together to effectively give W=W+-W- for each pair of (W+,W-) cells of every pair of (W+,W-) lines. In addition, the W values from each array 3301 and 3302 may be further combined via summing circuits 3307 and 3308, meaning that each W value is the result of subtracting the W value from array 3302 from the W value from array 3301, and the final result from summing circuits 3307 and 3308 is one of two difference values.
[0087] Each non-volatile memory cell used in an analog neural memory system can be erased or programmed to hold a very specific and precise amount of charge, i.e., number of electrons, in its floating gate. For example, each floating gate must hold one of N different values, where N is the number of different weights that can be exhibited by each cell. Examples of N include 16, 32, 64, 128, and 256.
[0088] Similarly, the read operation must be able to accurately distinguish between the N different levels.
[0089] What is needed in a VMM system is an improved output block that can quickly and accurately receive outputs from arrays and identify the values represented by those outputs. Summary of the Invention
[0090] Numerous embodiments are disclosed for an output circuit for an analog neural memory in a deep learning artificial neural network.
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[0132] [Brief description of the drawings]
[0133] [Figure 1] FIG. 1 illustrates an artificial neural network. [Diagram 2]1 shows a prior art split-gate flash memory cell. [Diagram 3] 1 illustrates another prior art split-gate flash memory cell. [Figure 4] 1 illustrates another prior art split-gate flash memory cell. [Diagram 5] 1 illustrates another prior art split-gate flash memory cell. [Figure 6] FIG. 1 illustrates various levels of an exemplary artificial neural network that utilizes one or more non-volatile memory arrays. [Figure 7] FIG. 1 is a block diagram illustrating a vector matrix multiplication system. [Figure 8] FIG. 1 is a block diagram illustrating an example artificial neural network utilizing one or more vector matrix multiplication systems. [Figure 9] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 10] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 11] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 12] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 13] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 14] 1 shows a prior art long-term and short-term memory system. [Figure 15] An exemplary cell for use in a long- and short-term memory system is shown. [Figure 16] 16 illustrates an embodiment of the exemplary cell of FIG. 15. [Figure 17] 16 illustrates an alternative embodiment of the exemplary cell of FIG. [Figure 18] 1 shows a prior art gated recurrent unit system. [Figure 19] 1 shows an exemplary cell for use in a gated recurrent unit system. [Figure 20] 20 illustrates an embodiment of the exemplary cell of FIG. 19. [Figure 21] 20 illustrates an alternative embodiment of the exemplary cell of FIG. 19. [Figure 22] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 23] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 24] 4 illustrates another embodiment of a vector matrix multiplication system. [Diagram 25] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 26] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 27] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 28] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 29] 4 illustrates another embodiment of a vector matrix multiplication system. [Diagram 30] 4 illustrates another embodiment of a vector matrix multiplication system. [Diagram 31] 4 illustrates another embodiment of a vector matrix multiplication system. [Diagram 32] 4 illustrates another embodiment of a vector matrix multiplication system. [Diagram 33] 4 illustrates another embodiment of a vector matrix multiplication system. [Diagram 34] 4 illustrates another embodiment of a vector matrix multiplication system. [Figure 35A] 1 illustrates an embodiment of an output block. [Figure 35B] 1 illustrates an embodiment of an output block. [Figure 35C] 1 illustrates an embodiment of an output block. [Figure 35D] 1 illustrates an embodiment of an output block. [Figure 35E] 1 illustrates an embodiment of an output block. [Fig. 35F]1 illustrates an embodiment of an output block. [Diagram 36] 4 illustrates another embodiment of an output circuit. [Figure 37A] 13 illustrates another embodiment of an output block. [Figure 37B] 13 illustrates another embodiment of an output block. [Figure 38A] 13 illustrates another embodiment of an output block. [Figure 38B] 13 illustrates another embodiment of an output block. [Figure 39] A replica variable resistor is shown. [Diagram 40] 1 illustrates an embodiment of a current-to-voltage converter. [Diagram 41] 1 shows a differential output amplifier. [Diagram 42] 4 shows an offset calibration method. [Diagram 43] 4 illustrates another offset calibration method. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
[0134] The artificial neural network of the present invention utilizes a combination of CMOS technology and non-volatile memory arrays. VMM System Overview
[0135] 34 shows a block diagram of a VMM system 3400. The VMM system 3400 includes a VMM array 3401, a row decoder 3402, a high voltage decoder 3403, a column decoder 3404, a bit line driver 3405, an input circuit 3406, an output circuit 3407, a control logic 3408, and a bias generator 3409. The VMM system 3400 further includes a high voltage generation block 3410 including a charge pump 3411, a charge pump regulator 3412, and a high voltage analog precision level generator 3413. The VMM system 3400 further includes a (program / erase, or weight adjustment) algorithm controller 3414, an analog circuit 3415, a control engine 3416 (which may include special functions such as, but not limited to, arithmetic functions, startup functions, embedded microcontroller logic, etc.), and a test control logic 3417. The systems and methods described below may be implemented in the VMM system 3400.
[0136] The input circuit 3406 may include circuits such as a digital to analog converter (DAC), a digital to pulses converter (DPC), an analog to analog converter (AAC), a pulse to analog level converter (PAC), or any other type of converter. The input circuit 3406 may implement normalization, linear or nonlinear up / downscaling functions, or arithmetic functions. The input circuit 3406 may implement a temperature compensation function for the input levels. The input circuit 3406 may implement an activation function such as ReLU or sigmoid. The output circuitry 3407 may include circuits such as an ADC (analog to digital converter), an AAC (analog to analog converter, such as a current to voltage converter, logarithmic converter, etc.), an APC (analog to pulses converter), or any other type of converter.
[0137] The output circuit 3407 may implement activation functions such as a rectified linear activation function (ReLU) or a sigmoid. The output circuit 3407 may implement statistical normalization, regularization, up / down scaling / gain functions, statistical rounding, or arithmetic functions (e.g., add, subtract, divide, multiply, shift, log) of the neuron outputs. The output circuit 3407 may implement temperature compensation functions for the neuron outputs or array outputs (such as bit line outputs) to keep the power consumption of the array approximately constant, or to increase the accuracy of the array (neuron) outputs, such as by keeping the IV slope approximately the same.
[0138] FIG. 35A shows an output block 3500. The output block 3500 includes current-to-voltage converters (ITVs, with differential input and differential output) 3501-1 to 3501-i (where i is the number of pairs of bit lines W+ and W− that the output block 3500 receives), a multiplexer 3502, sample and hold circuits 3503-1 to 3503-k, a channel multiplexer 3504, and a differential input analog-to-digital converter (ADC) 3505. The output block 3500 receives differential weighted outputs W+ and W− from the bit line pairs in the array, and finally generates a digital output, DOUTx, that represents the output of one of the bit line pairs (e.g., the W+ and W− lines) from the ADC 3505 (an ADC with a differential input).
[0139] Current-to-voltage (ITV) converters 3501-1 to 3501-i each receive analog bit line current signals BLw+ and BLw- (which are bit line outputs generated in response to the input and stored W+ and W- weights, respectively) and convert them to respective differential voltages ITVO+ and ITVO-.
[0140] The differential voltages ITVO+ and ITVO− are then received by a multiplexer 3502, which couples the outputs from the current-to-voltage converters 3501-1 to 3501-i to sample and hold (S / H) circuits 3503-1 to 3503-i. - k, where k can be the same as or different from i.
[0141] Each of the S / H circuits 3503-1 to 3503-k samples the differential voltages it receives and holds them as differential outputs.
[0142] The channel multiplexer 3504 receives a control signal to select one of the bit lines W+ and W- channels, i.e., one of the bit line pairs, and outputs the differential voltage held by each sample and hold circuit 3503 to the ADC 3505, which converts the analog differential voltage output by each sample and hold circuit 3503 to a set of digital bits, DOUTx. A single S / H 3503 may be shared across multiple ITV converters 3501. The ADC 3505 may operate on multiple ITV converters in a time multiplexed manner. Each S / H 3503 may be simply a capacitor or a capacitor followed by a buffer (e.g., an operational amplifier).
[0143] The ITV converter 3501 may comprise the output current neuron circuits 3700, 3750, 3800, or 3820 from Figures 37A, 37B, 38A, and 38B, respectively, combined with the current-to-voltage converter 4000 of Figure 40. In such an instance, the inputs to the ITV converter 3501 are two current inputs (such as BLW+ and BLW- in Figures 35A-35E, 37A, 37B, 38A, or 38B) and the output of the ITV converter is a differential output (such as VOP and VON in Figure 40, or ITVO+ and ITVO- in Figures 35A-35D).
[0144] The ADC 3505 may be a hybrid ADC architecture, meaning it has more than one ADC architecture to perform the conversion. For example, if DOUTx is an 8-bit output, the ADC 3505 may include an ADC sub-architecture for generating bits B7-B4 and another ADC sub-architecture for generating bits B3-B0 from the differential inputs ITVSH+ and ITVSH-. That is, the ADC circuit 3505 may include multiple ADC sub-architectures.
[0145] Optionally, certain ADC sub-architectures may be shared among all channels, while other ADC sub-architectures are not shared among all channels.
[0146] In another embodiment, the channel multiplexer 3504 and ADC 3505 may be removed and instead the output may be an analog differential voltage from S / H 3503, which may be buffered by an operational amplifier. For example, the use of an analog voltage may be implemented in an all-analog neural network (i.e., one where no digital output or digital input is required for the neural memory array).
[0147] 35B shows an output block 3550. The output block includes current-to-voltage converters (ITV) 3551-1 to 3551-i (where i is the number of pairs of bit lines W+ and W- that the output block 3550 receives), a multiplexer 3552, differential-to-single-ended converters Diff-to-S converters 3553-1 to 3553-k, sample-and-hold circuits 3554-1 to 3554-k (where k is the same as or different from i), a channel multiplexer 3555, and an analog-to-digital converter (ADC) 3556. The Diff-to-S converter 3553 is used to convert the differential output, i.e., ITVOMX+ and ITVOMX-, from the ITV 3551 signal provided by the mux 3552 to a single-ended output ITVSOMX+. The single-ended output ITVSOMX+ is then input to S / H 3554, multiplexer 3555, and ADC 3556.
[0148] 35C shows an output block 3560. The output block 3560 includes current-to-voltage converters (ITV) 3561-1 to 3561-i (where i is the number of pairs of bit lines W+ and W− that the output block 3560 receives) and differential input analog-to-digital converters (ADC) 3566-1 to 3566-i.
[0149] 35D shows an output block 3570. The output block 3570 includes current-to-voltage converters (ITV) 3571-1 to 3571-i (where i is the number of pairs of bit lines W+ and W− that the output block 3570 receives) and single-input analog-to-digital converters (ADCs) 3576-1 to 3576-i. In this case, only one output of the differential output ITV is used, and the ITV is used with differential input and single output.
[0150] 35E shows an output block 3580. The output block 3580 includes current-to-voltage converters (ITV) 3581-1 to 3581-i (where i is the number of pairs of bit lines W+ and W- that the output block 3580 receives) and differential input analog-to-digital converters (ADC) 3586-1 to 3586-i. The ITV blocks 3581-1 to 3581-i include common mode input circuits 3582-1 to 3582-i, respectively, and differential operational amplifiers 3583-1 to 3583-i, respectively. i and, feedback is provided by variable resistors 3584-1 through 3584-i and 3585-1 through 3585-i, respectively.
[0151] Figure 35F shows an output block 3590 that can be used for the common mode input circuits 3582-1 to 3582-i of Figure 35E. The output block 3591 comprises two equal variable current sources Ibias+ and Ibias- connected to two current inputs BLw+ and BLw-.
[0152] 36 shows an output block 3600. The output block includes summing circuits 3601-1 to 3601-i (e.g., current mirror circuits), where i is the number of pairs of bit lines BLw+ and BLw- that the output block 3600 receives, current-to-voltage converter circuits (ITV) 3602-1 to 3602-i, a multiplexer 3603, sample and hold circuits 3604-1 to 3604-k (where k is the same as or different from i), a channel multiplexer 3605, and an ADC 3606. The output block 3600 receives differential weighted outputs BLw+ and BLw- from the bit line pairs in the array, and finally produces a digital output, DOUTx, from the ADC 3606 that represents the output of one of the bit line pairs at a time.
[0153] Each of the current adder circuits 3601-1 to 3601-i receives a current from a bit line pair, subtracts the BLw- value from BLw+, and outputs the result as an added current IWO.
[0154] The current-to-voltage converters 3602-1 to 3602-i receive the output summed current IWO and convert each summed current to a differential voltage ITVO+ and ITVO-, which is then received by multiplexer 3603 and selectively provided to sample-and-hold circuits 3604-1 to 3604-k. The differential voltages are then digitized (converted to digital output bits) by a differential input ADC (block 3606), which has various advantages such as reduced input noise (from clock feedthrough, etc.) and more accurate comparison operations (as in a SAR ADC).
[0155] Each sample and hold circuit 3604 receives differential voltages ITVOMX+ and ITVOMX−, samples the received differential voltages, and outputs them as differential voltage outputs OSH+ and O Retain as SH-.
[0156] The channel multiplexer 3605 receives a control signal to select one of the bit line pairs, i.e., channels BLw+ and BLw-, and outputs the voltages held by the respective sample and hold circuits 3604 to a differential input ADC 3606, which converts the voltages into a set of digital bits as DOUTx.
[0157] FIG. 37A is a cross-sectional view of FIG. A 36 shows an output current neuron circuit 3700 that may optionally be included in output block 3500 of FIG.
[0158] The output current neuron circuit 3700 includes a first variable current source 3701, a second variable current source 3702, and a bias circuit 3703. The bias circuit 3703 generates a control voltage Vbias based on a comparison between BLW+ and VREF or between BLW- and VREF. The first variable current source 3701 generates an output current Ibias+ that varies with the control voltage Vbias (i.e., the amount of the output current Ibias+ responds to the value of Vbias) and is coupled to the first bit line BLW+. The second variable current source 3702 generates an output current Ibias- that varies with Vbias (i.e., the amount of the output current Ibias- responds to the value of Vbias) and is coupled to the second bit line BLW-. BLW+ receives a first current from a cell selected by a column decoder (not shown) to store a W+ value during a read operation, and BLW- receives a second current from a cell selected by the column decoder to store a W- value during a read operation. The W+ value and the associated W- value represent a weight value W. The outputs Ibias+ and Ibias- of current sources 3701 and 3702 are identical at any given time.
[0159] VREF is applied as an input common mode voltage to generate a Vbias voltage to control variable current sources 3701 and 3702 to apply a common mode voltage to BLW+ and BLW-, which acts as a reference read voltage on the bit lines during a read operation. The outputs of the output current neuron circuit 3700 are Iout+ and Iout-, which form a differential signal. Iout+ is the output current from the bit line BLW+ after Vbias is applied to generate Ibias+, and Iout- is the output current from the bit line BLW- after Vbias is applied to generate Ibias-, where Iout+=Ibias+-IBLW+ and Iout-=Ibias--IBLW-.
[0160] FIG. 37B illustrates an output current neuron circuit 3750 showing one embodiment of variable current sources 3701 and 3702 using PMOS transistors 3711 and 3712.
[0161] FIG. 38A is a cross-sectional view of FIG. A 35B, output block 3550 of FIG. 35B, or output block 3600 of FIG.
[0162] The output current neuron circuit 3800 comprises a first variable resistor 3801 (first device) with a first end and a second end, the second end being coupled to a bit line BLW+ selected during a read operation, a second variable resistor 3802 (second device) with a third end and a fourth end, the fourth end being coupled to a bit line BLW- selected during a read operation, the BLW+ being connected to a cell in the memory array that stores a W+ value, and the BLW- being connected to a cell in the memory array that stores an associated W-, a variable current source 3803, and a bias circuit op-amp 3804 that generates a bias voltage Vbias whose value represents the difference between BLW+ (or alternatively BLW-) and VREF. The first end of the first variable resistor 3801 and the third end of the second variable resistor 3802 are coupled to the variable current source 3803.
[0163] VREF is used to generate a Vbias voltage that is applied to a variable current source 3803 to apply an input common mode voltage to the bit lines BLW+ and BLW-, which acts as a read reference voltage on the bit lines during a read operation. The output of the output current neuron circuit 3800 is Iout+ (first output current) from a first variable resistor 3801 and Iout- (second output current) from a second variable resistor 3802, which form a differential current signal. Iout+ is the output current from the bit line BLW+ after Vbias is applied to generate Ibias, and Iout- is the output current from the bit line BLW- after Vbias is applied to generate Ibias, according to Iout+=Ibias-IBLW+ and Iout-=Ibias-IBLW-.
[0164] FIG. 38B is a cross-sectional view of FIG. A 38A shows an output current neuron circuit 3820 that may be optionally included in the output block 3500 of FIG. 35B, the output block 3550 of FIG. 35B, or the output block 3600 of FIG. 36. This circuit is similar to the circuit of FIG. 38A, except that the output of an op-amp 3804 is driven directly into the two terminals of two variable resistors 3801 and 3802.
[0165] FIG. 39 shows a variable resistor replica 3900 that can be optionally used in place of variable resistor 3801 and / or variable resistor 3802 of FIG. 38. Variable resistor replica 3900 comprises an NMOS transistor 3901. One terminal of NMOS transistor 3901 is coupled to bias circuit 3804. Another terminal of NMOS transistor 3901 is coupled to either BLW+ or BLW-. The gate of NMOS transistor 3901 is coupled to comparator 3902 that generates a control signal VGC that adjusts the resistance provided by NMOS transistor 3901. Thus, the resistance of NMOS 3901 is =VREF / IBIAS. By varying VREF or IBIAS, the equivalent resistance of NMOS 3901 can be changed.
[0166] FIG. 40 shows a current-to-voltage converter 4000 that can be used for current-to-voltage converter 3501 of FIG. 35A, current-to-voltage converter 3511 of FIG. 35B, or current-to-voltage converter 3602 of FIG.
[0167] Current-to-voltage converter 4000 is configured as shown and includes a differential amplifier 4001 , variable integrating resistors 4002 and 4003 , controlled switches 4004 , 4005 , 4006 , and 4007 , and variable sample and hold capacitors 4008 and 4009 .
[0168] The current-to-voltage converter 4000 receives the differential currents IOUT+ and IOUT- and the output voltages VOP and VON. * R and output voltage VON=IOUT- *R, and resistors 4002 and 4003 each have a value equal to R. Scaling of the output neuron is provided by changing the values of resistors 4002 and 4003. For example, resistors 4002 and 4004 may each be provided by resistor replica circuit 3900. Capacitors 4008 and 4009 act as hold S / H capacitors and hold the output voltage when resistors 4002 and 4003 and the input current are interrupted. A control circuit (not shown) controls the opening and closing of switches 4004, 4005, 4006, and 4007 to provide the integration time.
[0169] In another mode of operation, variable capacitors 4008 and 4009 are used to integrate the differential output currents IOUT+ and IOUT-. In this case, resistors 4002 and 4003 are disabled (not used). Thus, the output voltage VOP is * The output voltage VON is proportional to Iout- * The value Time is proportional to Time / C. The value Time is controlled by the pulse width of pulse 4010 T. The value of C is provided by capacitors 4008 and 4009. The scaling of the output neuron value is then provided in this example by changing the pulse width T or by changing the capacitor values of capacitors 4008 and 4009.
[0170] Differential currents IOUT+ and IOUT- are derived from the first bit line current BLW+ and the second bit line current BLW-. IOUT+ and IOUT- have complementary values (one positive and the other negative, and the same magnitude). IOUT+=((current of BLW-)-(current of BLW+)) / 2, and IOUT-=((current of BLW+)-(current of BLW-)) / 2. For example, if the current of BLW+ is 1 μa and the current of BLW- is 31 μa, then Iout+=(31 μA-1 μA) / 2=15 μA, and Iout-=-15 μA.
[0171] FIG. 41 shows a differential amplifier 4100 that may optionally be included in the output block 3500 of FIG. 35A, the output block 3550 of FIG. 35B, or the output block 3600 of FIG. 36. The differential output amplifier 4100 is configured as shown and includes PMOS transistors 4101, 4102, 4103, 4104, 4105, 4106, 4107, and 4108, and NMOS transistors 4109, 4110, 4111, 4112, and 4113. The differential output amplifier 4100 receives inputs VINP and VINN and generates outputs VOUTP and VOUTN. VPBIAS is applied to the gates of PMOS transistors 4102, 4104, 4106, and 4108, and VNBIAS is applied to the gates of NMOS transistors 4111 and 4113. When VINP > VINN, VOUTP is high and VOUTN is low. When VINP < VINN, VOUTP is low and VOUTN is high. A common-mode feedback circuit for the output common mode is not shown.
[0172] FIG. 42 shows an offset calibration method 4200 for an output block such as the output blocks 3500, 3550, 3560, 3570, 3580, 3590, or 3600 described above. This method may be performed within a sub-circuit block of the output block by an ITV block or an ADC block or the like.
[0173] First, a nominal bias is applied to the input node. The nominal bias can be a midpoint offset trim setting such as a 0 value or an average value (such as the average of the target input range for the BLw+ and BLw- inputs) (step 4202).
[0174] Second, an increased offset trim setting is applied to one of the sub-circuit blocks of the output block (such as an ITV or an ADC) (step 4203).
[0175] Third, the new trim output value of the entire output block is measured and compared to the expected output value to see if it is within the target range of the nominal output value (step 4204). If true, the method proceeds to step 4207. If not true, steps 4203 and 4204 are repeated, increasing the offset trim setting applied to the subcircuit block each time until the new trim output value of the entire output block is within the range of the expected output values, at which point the method proceeds to step 4207.
[0176] If after a predetermined number of trials (set by a threshold T) the new trim output values for the entire output block are not within target for the expected output values, the offset trim setting is returned to the nominal offset trim setting, and the offset trim setting is decreased from the nominal setting (step 4205).
[0177] The new trim output values for the entire output block are measured and compared to the expected output values for the entire output block to see if they are within the target range of the expected output values (step 4206). If true, the method proceeds to step 4207. If not true, steps 4205 and 4206 are repeated, decreasing the offset trim settings applied to the input nodes each time until the new trim output values are within the target range of the expected output values, at which point the method proceeds to step 4207.
[0178] In step 4207, the trim value that caused the output value to be within the target value for the expected output value is stored as the stored trim value. This is the trim value that results in the smallest offset by the output block.
[0179] In step 4208, optionally, the stored trim values are applied as biases to the subcircuit blocks of the output block during all operations.
[0180] Thus, the offset calibration method 4200 performs a trim operation on the entire output block by trimming sub-circuit blocks of the output block.
[0181] 43 shows an offset calibration method 4300 for an output block, such as the above output blocks 3500, 3550, 3560, 3570, 3580, 3590, or 3600. The method may be performed within a sub-circuit block, such as by an ITV block or an ADC block.
[0182] First, a reference bias is applied to the input nodes of the subcircuit blocks of the output block (eg, the inputs to BLw+ and BLw-) (step 4301).
[0183] Next, the output value of the output block is measured and compared to the target offset value (step 4302).
[0184] If the measured output value>the target offset value, then the next offset trim value in the sequence of offset trim values is applied (step 4303) and step 4302 is repeated. value is applied to one of the sub-circuit blocks of the output block (such as ITV or ADC).
[0185] Steps 4303 and 4302 are repeated until the measured output value≦target offset value, at which point the offset trim value is stored (step 4304). This is the trim value that results in an acceptable level of offset.
[0186] Optionally, the stored offset trim value is applied as a bias to the sub-circuit block of the output block during all operations (step 4305).
[0187] In an alternative embodiment, the variable resistors in FIG. 35E or FIG. 40B are not equal in resistance. In this case, the output voltage or current from the ITV is proportional to the resistance value. For example, in FIG. 35E, resistor 3585-1 can be made very large, in which case most of the current from the two bit lines (IBLw+-IBLw-) flows through resistor 3584-1. In another example in FIG. 35E, resistor 3585-1 is disconnected, and then all of the current from the two bit lines (IBLw+-IBLw-) flows through resistor 3584-1.
[0188] It should be noted that, as used herein, both the terms "over" and "on" are inclusive of "directly" (with no intermediate material, element, or gap disposed between them) and "indirectly" (with an intermediate material, element, or gap disposed between them). Similarly, the term "adjacent" includes "directly adjacent" (with no intermediate material, element, or gap disposed between them) and "indirectly adjacent" (with an intermediate material, element, or gap disposed between them), "attached" includes "directly attached" (with no intermediate material, element, or gap disposed between them) and "indirectly attached" (with an intermediate material, element, or gap disposed between them), and "electrically coupled" includes "directly electrically coupled" (without an intermediate material or element disposed between them that electrically connects the elements together) and "indirectly electrically coupled" (with an intermediate material or element disposed between them that electrically connects the elements together). For example, forming an element "above the substrate" can include forming the element directly on the substrate, with no intermediate materials / elements between them, and forming the element indirectly on the substrate, with one or more intermediate materials / elements between them.
Claims
1. An output current neuron circuit, comprising: a first variable resistor having a first end and a second end; a second variable resistor including a third end and a fourth end; a current source coupled to the first end of the first variable resistor and the third end of the second variable resistor, the current source providing a bias current to the first variable resistor and the second variable resistor to generate a common mode voltage; a bias circuit for applying a control voltage to the current source; a first bit line coupled to the W+ cell during a read operation; a second bit line coupled to the W-cell during the read operation; a first output coupled to the second end of the first variable resistor and to the first bit line to provide a first output current; a second output coupled to the fourth end of the second variable resistor and to the second bit line to provide a second output current, the first output and the second output forming a common mode differential current signal; Equipped with The W+ cell and the W- cell jointly store a weight value W that is equal to the difference between the value stored in the W+ cell and the value stored in the W- cell.
2. 2. The circuit of claim 1, wherein the first variable resistor comprises an NMOS transistor, a voltage applied to a gate of the NMOS transistor determining a resistance value of the NMOS transistor.
3. 3. The circuit of claim 2, wherein the second variable resistor comprises an NMOS transistor, a voltage applied to a gate of the NMOS transistor determining the resistance value of the NMOS transistor.
4. An output current neuron circuit, comprising: a first output node for receiving a first current from the memory array; a second output node for receiving a second current from the memory array; a bias circuit for generating a bias voltage at a bias node; a first variable resistor coupled between the bias node and the first output node; a second variable resistor coupled between the bias node and the second output node; An output current neuron circuit comprising:
Citation Information
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