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2517 results about "Linearization" patented technology

In mathematics, linearization is finding the linear approximation to a function at a given point. The linear approximation of a function is the first order Taylor expansion around the point of interest. In the study of dynamical systems, linearization is a method for assessing the local stability of an equilibrium point of a system of nonlinear differential equations or discrete dynamical systems. This method is used in fields such as engineering, physics, economics, and ecology.

Control of an optical fiber scanner

InactiveUS6845190B1Remove nonlinear behaviorRobust cancellationSurgeryEndoscopesOptical scannersPhotodetector
Controls for an optical scanner, such as a single fiber scanning endoscope (SFSE) that includes a resonating optical fiber and a single photodetector to produce large field of view, high-resolution images. A nonlinear control scheme with feedback linearization is employed in one type of control to accurately produce a desired scan. Open loop and closed loops controllers are applied to the nonlinear optical scanner of the SFSE. A closed loop control (no model) uses either phase locked loop and PID controllers, or a dual-phase lock-in amplifier and two PIDs for each axis controlled. Other forms of the control that employ a model use a frequency space tracking control, an error space tracking control, feedback linearizing controls, an adaptive control, and a sliding mode control.
Owner:UNIV OF WASHINGTON

Hybrid Capacitive Touch Screen Element

A capacitive touch sensitive position sensor is provided which has a substrate defining a touch sensitive platform. First and second resistive bus-bars arranged spaced apart on the substrate. A conductive sensing area is formed between the bus bars and is constructed with first and second conductive elements connected to the first and second resistive bus-bars respectively, and spaced apart from each other by non-conducting gaps, so that currents induced in the conductive sensing area flow towards the bus-bars, but are prevented from flowing in a direction parallel to the bus-bars. This design removes pin-cushion distortion and enhances linearization of the output signals. Because the sensing region is not galvanically coupled from one bus bar to the other, the voltage gradients remain uniform and undistorted. Capacitive coupling from one side to the other does not produce a distortion component provided that the capacitance is allowed to fully charge and discharge across all locations in the sensing region.
Owner:NEODRON LTD

Multicarrier distributed active antenna

A distributed active antenna includes a power module having a parallel combination of power amplifiers for driving each antenna element of the distributed active antenna. A predistortion linearization circuit may be coupled to each power module to linearize the output of each antenna element of the distributed active antenna.
Owner:COMMSCOPE TECH LLC

Systems and methods for structural indexing of natural language text

InactiveUS20070073533A1Efficient structural indexingDeal with variationNatural language data processingSpecial data processing applicationsCombined usePaper document
A structural natural language index is created by segmenting documents within a repository into text portions and extracting named entity, co-reference, lexical entries, structural-semantic relationships, speaker attribution and meronymic derived features. A constituent structure is determined that contains the constituent elements and ordering information sufficient to reconstruct the text portion. A functional structure of the text portions is determined. A set of characterizing predicative triples are formed from the functional structure by applying linearization transfer rules. The constituent structure, the characterizing predicative triples and the derived features are combined to form a canonical form of the text portion. Each canonical form is added to the structural natural language index. A retrieved question is classified to determine question type and a corresponding canonical form for the question is generated. The entries in the structural natural language index are searched for entries matching the canonical form of the question and relevant to the question type. The characterizing predicative triples are used in conjunction with a generation grammar to create an answer. If the generation fails, some or all of the constituent structure of the matching entry is returned as the answer.
Owner:FUJIFILM BUSINESS INNOVATION CORP

High efficiency linearization power amplifier for wireless communication

An embodiment of the invention uses a predistortion correction signal to combination the modulated RF signal by an analog multiplier for linearization of power amplifiers having nonlinear characteristics such as those used in wireless RF transmitters. A predistortion controller comprises a plurality of down converters for retrieving both the ideal non-distorted information and the feedback distorted information, together with pre-stored digitally-indexed predistortion information stored, for example, in a look-up table. The digitally-indexed information models nonlinear characteristics of the high power amplifier, and is stored prior to processing of pre-compensation in the power amplifier. When the predistortion information is combined with the modulated RF signal in the analog multiplier, the result is a substantially linear information transmission from the power amplifier. In an embodiment of the system, the modulated RF input signal and the feedback signal from PA output are down-converted, respectively, by analog devices, such as mixers, after which the analog intermediate frequency (IF) signals are digitized by analog-to-digital converters for digital predistortion correction processing, followed by predistortion processing performed by, for example, a DSP or FPGA chip to generate a digital correction control signal, which is then converted to an analog signal by a digital-to-analog converter, followed by combining the analog correction signal with the RF modulated input signal to yield the input to the power amplifier.
Owner:DALI WIRELESS

Disk drive with method of constructing a continuous position signal and constrained method of linearizing such position signal while maintaining continuity

A method for constructing and linearizing a position error signal (PES) derived from primary and quadrature servo burst pairs in an embedded servo disk drive. The construction method mathematically provides predetermined transition values at the commutation positions connecting adjacent PES segments so that the overall, indicated position signal is numerically continuous from segment to segment. The linearization method compensates for nonlinearity in the PES segments, and thereby in the indicated position signal, without affecting the predetermined transition values at all, or by modifying the predetermined transition values while maintaining continuity.
Owner:WESTERN DIGITAL TECH INC

System and methodology and adaptive, linear model predictive control based on rigorous, nonlinear process model

A methodology for process modeling and control and the software system implementation of this methodology, which includes a rigorous, nonlinear process simulation model, the generation of appropriate linear models derived from the rigorous model, and an adaptive, linear model predictive controller (MPC) that utilizes the derived linear models. A state space, multivariable, model predictive controller (MPC) is the preferred choice for the MPC since the nonlinear simulation model is analytically translated into a set of linear state equations and thus simplifies the translation of the linearized simulation equations to the modeling format required by the controller. Various other MPC modeling forms such as transfer functions, impulse response coefficients, and step response coefficients may also be used. The methodology is very general in that any model predictive controller using one of the above modeling forms can be used as the controller. The methodology also includes various modules that improve reliability and performance. For example, there is a data pretreatment module used to pre-process the plant measurements for gross error detection. A data reconciliation and parameter estimation module is then used to correct for instrumentation errors and to adjust model parameters based on current operating conditions. The full-order state space model can be reduced by the order reduction module to obtain fewer states for the controller model. Automated MPC tuning is also provided to improve control performance.
Owner:ABB AUTOMATION INC

Lock-free implementation of concurrent shared object with dynamic node allocation and distinguishing pointer value

A novel linked-list-based concurrent shared object implementation has been developed that provides non-blocking and linearizable access to the concurrent shared object. In an application of the underlying techniques to a deque, non-blocking completion of access operations is achieved without restricting concurrency in accessing the deque's two ends. In various realizations in accordance with the present invention, the set of values that may be pushed onto a shared object is not constrained by use of distinguishing values. In addition, an explicit reclamation embodiment facilitates use in environments or applications where automatic reclamation of storage is unavailable or impractical.
Owner:ORACLE INT CORP

Ultrawide-band communication system and method

An impulse radio communications system using one or more subcarriers to communicate information from an impulse radio transmitter to an impulse radio receiver. The impulse radio communication system is an ultrawide-band time domain system. The use of subcarriers provides impulse radio transmissions added channelization, smoothing and fidelity. Subcarriers of different frequencies or waveforms can be used to add channelization of impulse radio signals. Thus, an impulse radio link can communicate many independent channels simultaneously by employing different subcarriers for each channel. The impulse radio uses modulated subcarrier(s) for time positioning a periodic timing signal or a coded timing signal. Alternatively, the coded timing signal can be summed or mixed with the modulated subcarrier(s) and the resultant signal is used to time modulate the periodic timing signal. Direct digital modulation of data is another form of subcarrier modulation for impulse radio signals. Direct digital modulation can be used alone to time modulate the periodic timing signal or the direct digitally modulated the periodic timing signal can be further modulated with one or more modulated subcarrier signals. Linearization of a time modulator permits the impulse radio transmitter and receiver to generate time delays having the necessary accuracy for impulse radio communications.
Owner:TDC ACQUISITION HLDG

Digital predistortion system and method for high efficiency transmitters

A system for digitally linearizing the nonlinear behaviour of RF high efficiency amplifiers employing baseband predistortion techniques is disclosed. The system provides additive or multiplicative predistortion of the digital quadrature (I / Q) input signal in order to minimize distortion at the output of the amplifier. The predistorter uses a discrete-time polynomial kernel to model the inverse transfer characteristic of the amplifier, providing separate and simultaneous compensation for nonlinear static distortion, linear dynamic distortion and nonlinear dynamic effects including reactive electrical memory effects. Compensation for higher order reactive and thermal memory effects is embedded in the nonlinear dynamic compensation operation of the predistorter in an IIR filter bank. A predistortion controller periodically monitors the output of the amplifier and compares it to the quadrature input signal to compute estimates of the residual output distortion of the amplifier. Output distortion estimates are used to adaptively compute the values of the parameters of the predistorter in response to changes in the amplifier's operating conditions (temperature drifts, changes in modulation input bandwidth, variations in drive level, aging, etc). The predistortion parameter values computed by the predistortion controller are stored in non-volatile memory and used in the polynomial digital predistorter. The digital predistortion system of the invention may provide broadband linearization of highly nonlinear and highly efficient RF amplification circuits including, but not limited to, dynamic load modulation amplifiers.
Owner:TAHOE RES LTD

Integrated force sensitive lens and software

A software compensation method that allows a touch sensitive display to be built using low-cost FSR force sensors The compensation method comprises an array of functional compensation modules including filtering, voltage conversion, temperature compensation, humidity compensation, sensor calibration, sensor reading linearization, auto calibration, positioning determination and finally end-user and mechanical calibration. The array of compensation modules can bring system accuracy from a non-compensated average positioning error in the 25% to 50% range, down to aN end-user acceptable range of 0% to 5%. The increased positioning accuracy makes it possible to use FSRs as opposed to traditional piezoresistive based touch screen sensors.
Owner:APPLE INC

Residue-compensating A/D converter

An analog-to-digital converter system [50D] processing an input signal, g, which can be either a discrete-time or a continuous-time signal. A first quantizer [154] generates a first digital signal, d0(k), representing the sum of the input signal, g, and a dithering signal, y0. A digital-to-analog converter [156] generates an analog feedback signal, alpha, representing accurately the first digital signal, d0(k). The DAC [156] may be linearized by the use of mismatch-shaping techniques. A filter [158] generates the dithering signal, y0, by selectively amplifying in the signal band the residue signal, r0, defined as the difference of the input signal, g, and the analog feedback signal, alpha. Optional signal paths [166][168] are used to minimize the closed-loop signal transfer function from g to y0, which ideally will be zero. An analog compensation signal, m0, which is described by a well-controlled relationship to the residue signal, r0, is extracted from the filter [158]. Ideally, the closed-loop signal transfer function from g to m0 will be zero, or at least small in the signal band. A second quantizer [160] converts the analog compensation signal, m0, into a second digital signal, dm0(k). The two digital signals, d0(k) and dm0(k), are filtered individually and then added to form the overall output signal, dg(k). The second digital filter [164] has a low signal-band gain, which implies that the sensitivity to signal-band errors caused by the second quantizer [160] will be low. The output signal, dg(k), is a highly-accurate high-resolution representation of the input signal, g. Circuit imperfections, such as mismatch, gain errors, and nonlinearities, will cause only noise-like errors having a very low spectral power density in the signal band.The invention facilitates the implementation of uncalibrated highly-linear high-resolution wide-bandwidth A / D converters [50D], e.g., for use in digital communication systems, such as xDSL modems and other demanding consumer-market products for which low cost is of the essence.
Owner:ANALOG DEVICES BV

Guidance method based on 3D-2D pose estimation and 3D-CT registration with application to live bronchoscopy

A method provides guidance to the physician during a live bronchoscopy or other endoscopic procedures. The 3D motion of the bronchoscope is estimated using a fast coarse tracking step followed by a fine registration step. The tracking is based on finding a set of corresponding feature points across a plurality of consecutive bronchoscopic video frames, then estimating for the new pose of the bronchoscope. In the preferred embodiment the pose estimation is based on linearization of the rotation matrix. By giving a set of corresponding points across the current bronchoscopic video image, and the CT-based virtual image as an input, the same method can also be used for manual registration. The fine registration step is preferably a gradient-based Gauss-Newton method that maximizes the correlation between the bronchoscopic video image and the CT-based virtual image. The continuous guidance is provided by estimating the 3D motion of the bronchoscope in a loop. Since depth-map information is available, tracking can be done by solving a 3D-2D pose estimation problem. A 3D-2D pose estimation problem is more constrained than a 2D-2D pose estimation problem and does not suffer from the limitations associated with computing an essential matrix. The use of correlation-based cost, instead of mutual information as a registration cost, makes it simpler to use gradient-based methods for registration.
Owner:PENN STATE RES FOUND

Digital Hybrid Mode Power Amplifier System

A RF-digital hybrid mode power amplifier system for achieving high efficiency and high linearity in wideband communication systems is disclosed. The present invention is based on the method of adaptive digital predistortion to linearize a power amplifier in the RF domain. The power amplifier characteristics such as variation of linearity and asymmetric distortion of the amplifier output signal are monitored by the narrowband feedback path and controlled by the adaptation algorithm in a digital module. Therefore, the present invention could compensate the nonlinearities as well as memory effects of the power amplifier systems and also improve performances, in terms of power added efficiency, adjacent channel leakage ratio and peak-to-average power ratio. The present disclosure enables a power amplifier system to be field reconfigurable and support multi-modulation schemes (modulation agnostic), multi-carriers and multi-channels. As a result, the digital hybrid mode power amplifier system is particularly suitable for wireless transmission systems, such as base-stations, repeaters, and indoor signal coverage systems, where baseband I-Q signal information is not readily available.
Owner:DALI SYST LTD

Wideband enhanced digital injection predistortion system and method

A system for digitally linearizing the nonlinear behaviour of RF high efficiency amplifiers employing baseband predistortion techniques is disclosed. The system provides additive or multiplicative predistortion of the digital quadrature (I / Q) input signal in order to minimize distortion at the output of the amplifier. The predistorter uses a discrete-time polynomial kernel to model the inverse transfer characteristic of the amplifier, providing separate and simultaneous compensation for nonlinear static distortion, linear dynamic distortion and nonlinear dynamic effects including reactive electrical memory effects. Compensation for thermal memory effects also is embedded in the nonlinear dynamic compensation operation of the predistorter and is implemented parametrically using an autoregressive dynamics tracking mechanism. A predistortion controller periodically monitors the output of the amplifier and compares it to the quadrature input signal to compute estimates of the residual output distortion of the amplifier. Output distortion estimates are used to adaptively compute the values of the parameters of the predistorter in response to changes in the amplifier's operating conditions (temperature drifts, changes in modulation input bandwidth, variations in drive level, aging, etc). The predistortion parameter values computed by the predistortion controller are stored in non-volatile memory and used in the polynomial digital predistorter. The digital predistortion system of the invention may provide broadband linearization of highly nonlinear and highly efficient RF amplification circuits including, but not limited to, dynamic load modulation amplifiers.
Owner:INTEL CORP

Adaptive predistortion device and method using digital receiver

An advanced adaptive baseband / RF predistorting device, which advantageously uses the concept of digital receiver technology into power amplifier (PA) linearization area. The predistorting device performs an instantaneous characterization of the PA using two digital receivers to supply its dynamic AM-AM and AM-PM transfer functions used to synthesize Look-Up Tables (LUT) which implement the complex predistortion function in order to compensate for any non-linearity and memory effects.
Owner:POLYVALOR S E C

Capacitive sensor circuit with good noise rejection

This invention describes the deficiencies of current art for sensitive impedance sensors, particularly capacitive sensors, and describes several circuits that improve measurement of small value capacitances, especially in the presence of noise. It also shows various circuit architectures optimized for different capacitive sensing tasks. The circuits also describe a novel method to linearize a conventional charge-transfer capacitive sense circuit and a novel method to eliminate the effect of stray capacitance in charge-transfer capacitive sensors.
Owner:BAXTER LARRY K

Piezoelectric quartz accelerometer

A piezoelectric quartz accelerometer includes a sensitive element, a signal processing circuit, a base, an outer case, and a socket, wherein the sensitive element includes two round piezoelectric quartz wafers, and a supporting frame, wherein the two round piezoelectric quartz wafers are symmetrically mounted on both sides of the center axial line of the supporting frame; the sensitive element further includes an axial shock buffer unit and a transverse retaining unit for protecting overload of the two round piezoelectric quartz wafers; the signal processing circuit includes an oscillation circuit for obtaining frequency signal, a frequency differential forming circuit for extracting signal, a phase lock and times frequency circuit for amplifying signal, compensating zero phase, compensating non-linearization and compensating temperature, and an output circuit.
Owner:BEIJING INFORMATION TECH INST

Method for calculating power capability of battery packs using advanced cell model predictive techniques

The present invention relates to a method and an apparatus for estimating discharge and charge power of battery applications, including battery packs used in Hybrid Electric Vehicles (HEV) and Electric Vehicles (EV). One charge / discharge power estimating method incorporates voltage, state-of-charge (SOC), power, and current design constraints and works for a user-specified prediction time horizon Δt. At least two cell models are used in calculating maximum charge / discharge power based on voltage limits. The first is a simple cell model that uses a Taylor-series expansion to linearize the equation involved. The second is a more complex and accurate model that models cell dynamics in discrete-time state-space form. The cell model can incorporate a inputs such as temperature, resistance, capacity, etc. One advantage of using model-based approach is that the same model may be used in both Kalman-filtering to produce the SOC and the estimation of maximum charge / discharge current based on voltage limits.
Owner:LG ENERGY SOLUTION LTD

Multiple no-manned plane three-dimensional formation reconfiguration method based on particle swarm optimization and genetic algorithm

InactiveCN101286071ASolving the Optimal Time Control ProblemSolving optimization problems with centralized controlGenetic modelsPosition/course control in three dimensionsLinear controlPiecewise linearization
The invention discloses a three-dimensional formation reconfiguration method for multiple unmanned aerial vehicles based on particle swarm optimization and genetic algorithm. The method considers the position of the unmanned aerial vehicle in the ground coordinates and the speed, track angle and course angle of the unmanned aerial vehicle when establishing a formation model, carries out subsection linear disposal of the control input of each flying unit in the unmanned aerial vehicle, replaces the approximate subsection linear control input with the continuous control input, then carries out global search by the genetic algorithm, subsequently carries out partial searching by the particle swarm optimization algorithm, on the base thereof, the particle swarm optimization is used to guide the genetic algorithm to search a global optimum solution so as to figure out the subsection linear control input. Compared with the traditional method, the method provided by the invention has good real-time performance and rapidity and can be used for solving the formation reconfiguration problem of multiple space robots under complex and dynamic environment.
Owner:BEIHANG UNIV

Conforming output intensities of pens

A linearization data structure is generated for a pen, in view of another pen, for conforming output intensities of the pen to output intensities of the other pen.
Owner:HEWLETT PACKARD DEV CO LP

Method and System for Baseband Predistortion Linearization in Multi-Channel Wideband Communication Systems

ActiveUS20080152037A1Reducing computational complexity and numerical instabilityMultiple-port networksElectric signal transmission systemsAdjacent channel power ratioFrequency spectrum
An efficient baseband predistortion linearization method for reducing the spectral regrowth and compensating memory effects in wideband communication systems using effective multiplexing modulation technique such as wideband code division multiple access and orthogonal frequency division multiplexing is disclosed. The present invention is based on the method of piecewise pre-equalized lookup table based predistortion, which is a cascade of a lookup table predistortion and piecewise pre-equalizers, to reduce the computational complexity and numerical instability for desired linearity performance with memory effects compensation for wideband transmitter systems. Therefore, the present invention could reduce the computational load, which saves hardware resources in an implementation and improve performance, in terms of adjacent channel power ratio.
Owner:DALI WIRELESS

System and method for computing parameters for a digital predistorter

Digital predistortion system, methods and circuitry for adapting a predistortion system linearizing a non-linear element. The system is a multiply partitioned architecture that addresses long or “memory” effects, and separately addresses shorter duration effects. In a preferred method, the non-linear element is first modeled in software as a nonlinearity and a linearity in cascade form, preferably a Wiener model. The model is validated and adapted to minimize an observed error between the model and the non-linear element. The software model of the non-linear element is then used first to model a predistortion block that addresses short duration effects, and second to separately model a predistortion block that addresses longer duration effects. The models are software executable by an external processor in real time. Periodically the models are executed and used to update the adaptive parameters of the predistortion system without interrupting the system operation.
Owner:TEXAS INSTR INC

Simple optimal estimator for PbA state of charge

A state of charge estimator for a battery includes a meter that generates a terminal voltage signal of the battery and a terminal current signal of the battery. A controller employs a linearized model of the battery and a time-varying state estimator. The controller process a synthesized input based on the terminal current and the terminal voltage to estimate the battery state of charge.
Owner:GM GLOBAL TECH OPERATIONS LLC

Method and apparatus for amplifier linearization using adaptive predistortion

A signal processing method and apparatus capable of correcting signal distortion introduced by an RF power amplifier is disclosed, which includes the use of a buffer to store a plurality of samples representing at least a portion of an input signal intended for amplification by the RF power amplifier, the use of a self-receiver to receive an output signal generated by the RF power amplifier, the use of a synchronization unit to determine, as a matching input sample, which of the stored plurality of samples corresponds most closely to the output signal, and the use of a predistortion unit to selectively apply a distortion correction function to the input signal prior to amplification by the RF power amplifier in which the distortion correction function being derived from a relationship between the matching input sample and the output signal. This permits more precise and updateable determination of the delays involved in the RF modulation and amplification stages of the amplifier and the self-receiver, thus allowing for more precise and aggressive adaptive predistortion to be used. A phase offset correction is optionally provided to correct a phase offset in the realized sample of the output signal relative to the matching input symbol. Additionally, a sampling phase error correction unit may be provided to generate sampling alteration information to an analog-to-digital converter to cause such analog-to-digital converter to selectively alter sampling of the output signal.
Owner:MARVELL ASIA PTE LTD

Selected amplification of polynucleotides

InactiveUS8137936B2Reducing background and spurious amplificationSave materialMicrobiological testing/measurementFermentationPolynucleotideDouble stranded
The invention provides methods and compositions for selectively amplifying one or more target polynucleotides in a sample. In one aspect, a plurality of selection oligonucleotides are provided that are capable of simultaneously annealing to separate regions of a target polynucleotide to form a complex that is enzymatically converted into a closed double stranded DNA circle that incorporates the sequence region between the two separate regions. Sequences that fail to form such complexes may be removed by nuclease digestion and the sequences of the remaining DNA circles may be amplified by a variety of techniques, such as rolling circle replication after nicking, PCR amplification after linearization, or the like.
Owner:MACEVICZ STEPHEN C

RF amplifier employing active load linearization

A power amplifier system for high efficiency signal amplification of digitally modulated carrier signal or multi-carrier signals is disclosed. The linearity of the amplifier is improved by providing dynamic load line adjustments through implementation of suitably defined transfer functions employing dynamic control of operational aspects of active devices in the power amplifier.
Owner:TAHOE RES LTD

System and methods for digitally correcting a non-linear element using a digital filter for predistortion

System and methods for a digital linearization of a non linear element. Digital predistortion methods and circuitry for linearizing a non-linear element that address long or “memory” effects and shorter duration effects, these two predistortion functions are operated together in an adaptive fashion with the non-linear element to provide a highly linear system. A short duration predistortion block comprises an Nth order polynomial filter coupled to a programmable linear equalizer. The Nth order filter includes programmable non-linearities and variable delay taps. The Nth order filter may be configured to implement a non-sequential or a sequential ordered polynomial. The equalizer may, in a preferred embodiment, include circuitry for equalizing imbalances between real and complex signal values. The Nth order filter may implement a compound Volterra filter. The combined system of the predistortion circuitry and a non-linear element has a linear input-output signal response. Methods for initializing, parameterizing and adapting the system are disclosed.
Owner:TEXAS INSTR INC

Method for calculating power capability of battery packs using advanced cell model predictive techniques

The present invention relates to a method and an apparatus for estimating discharge and charge power of battery applications, including battery packs used in Hybrid Electric Vehicles (HEV) and Electric Vehicles (EV). One charge / discharge power estimating method incorporates voltage, state-of-charge (SOC), power, and current design constraints and works for a user-specified prediction time horizon Δt. At least two cell models are used in calculating maximum charge / discharge power based on voltage limits. The first is a simple cell model that uses a Taylor-series expansion to linearize the equation involved. The second is a more complex and accurate model that models cell dynamics in discrete-time state-space form. The cell model can incorporate a inputs such as temperature, resistance, capacity, etc. One advantage of using model-based approach is that the same model may be used in both Kalman-filtering to produce the SOC and the estimation of maximum charge / discharge current based on voltage limits.
Owner:LG ENERGY SOLUTION LTD
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