Analog Vector-Matrix Multiplication Circuit Using Programmable Semiconductor Array
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Solution Overview
Problem
Traditional matrix multiplication methods face challenges with high time complexity, high power consumption, and inefficiencies in processing large-scale data due to serial-based approaches and the need for analog-to-digital and digital-to-analog conversions in vector-matrix operations.
Innovation Solution
An analog vector-matrix multiplication circuit utilizing a programmable semiconductor device array, where the threshold voltage of each device is dynamically adjusted to perform matrix multiplication directly on analog signals, reducing the need for conversions and improving processing efficiency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If traditional von Neumann computing architecture is used for vector-matrix multiplication, then data can be processed through memory and processor, but data bus bandwidth consumption and transmission power consumption increase significantly
Solution Approach 1:
The patent merges the memory function and processing function into a single crossbar switch architecture. The crossbar switch simultaneously serves as memory for storing matrix data and as the processing unit for performing vector-matrix multiplication, eliminating the need for separate memory and processor components and their associated data buses.
Solution Approach 2:
The patent replaces the traditional digital computing mechanism with an analog computing mechanism. By using analog voltages and currents to represent data and perform calculations directly in the analog domain through the crossbar switch, it eliminates the need for analog-to-digital and digital-to-analog conversions, thereby reducing power consumption and increasing processing speed.
2Adaptability or versatility
If analog-to-digital and digital-to-analog conversions are performed for analog vector-matrix multiplication, then analog signals can be processed, but power consumption and cost overhead increase
Solution Approach 1:
The patent replaces the digital conversion mechanism with direct analog computation. The crossbar switch performs vector-matrix multiplication using analog voltages and currents, allowing the system to process analog signals directly without requiring analog-to-digital or digital-to-analog conversion stages, thereby eliminating the associated power consumption and cost overhead.
3Ease of manufacture
If serial-based approach is used for matrix multiplication, then calculation can be performed on traditional computers, but calculation time increases for large-scale data
Solution Approach 1:
The patent segments the matrix multiplication operation into parallel operations across multiple crossbar switch elements. Each element in the crossbar array simultaneously performs multiplication and accumulation operations on different data elements, transforming a serial process into a highly parallel operation that completes in a single computational step.
Solution Approach 2:
The patent applies preliminary action by pre-configuring the crossbar switch with matrix data in memory before the multiplication operation. This allows the actual computation to proceed rapidly without data retrieval delays, as all necessary data is already positioned in the processing architecture.
4Productivity
If distributed algorithm is used for matrix multiplication, then parallelization is achieved, but performance is limited by bottlenecks
Solution Approach 1:
The patent merges memory and processing functions into a unified crossbar switch architecture, eliminating the complexity of distributed systems with separate memory and processing units. This integration allows parallel operations to occur without the communication overhead and coordination complexity inherent in distributed algorithms.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The circuit significantly reduces overhead from data conversions and transmission, enhances processing performance, and improves power efficiency by directly performing vector-matrix operations on analog signals without the need for digital intermediates.
Implementation Method 1
the threshold voltage of each programmable semiconductor device can be adjusted
Implementation Method 2
In the programmable semiconductor device array, the gates of all programmable semiconductor devices in each row are connected to the same analog voltage input end
Implementation Method 3
the drains of all programmable semiconductor devices in each column are connected to the same first end, a plurality of columns of programmable semiconductor devices are correspondingly connected to a plurality of first ends, the sources of all programmable semiconductor devices in each column are connected to the same second end
Data Source
AI summary
An analog vector-matrix multiplication circuit is achieved by using a programmable storage device array. In a programmable semiconductor device array, gates of all of programmable semiconductor devices of each row are all connected to the same analog voltage input end. M rows of programmable semiconductor devices are correspondingly connected to M analog voltage input ends. Drains (or sources) of all of programmable semiconductor devices of each column are all connected to the same bias voltage input end. N columns of programmable semiconductor devices are correspondingly connected to N bias voltage input ends. Sources (or drains) of all of programmable semiconductor devices of each column are all connected to the same analog current output end. The N columns of programmable semiconductor devices are correspondingly connected to N analog current output ends. Threshold voltages of the programmable semiconductor devices are controlled, such that each programmable semiconductor device can be regarded as a variable equivalent analog weight, thereby achieving the matrix multiplication function.