MIXED-SIGNAL SYSTEM FOR PERFORMING TAYLOR SERIES FUNCTION APPROXIMATIONS

摘要

A mixed-signal system for performing Taylor series function approximations is disclosed. The mixed-signal system includes a digital-to-analog converter (DAC), multiple resistor-to-resistor (R2R) ladders, various digital registers, a digital processor and an analog integrator. The digital processor calculates coefficients F, Fx, Fy, Fxx, Fxy, Fyy of a Taylor series equation and calculates distance functions. The digital processor also includes a digital register for storing a magnitude scaling factor F (^osVo) °f me Taylor series equation. The DAC control register uploads a lead term F(x0,y0) of the Taylor series equation from the digital processor to the DAC. The first- order digital registers controls resistances of the R2R ladders. The second-order digital registers uploads coefficients Fx, Fy, Fxx, Fxy, Fy3, of the Taylor series equation from the digital processor to the DAC. The analog integrator adds outputs from the DAC and the R2R ladder to generate approximation results for the Taylor series equation.