Optimum linear-segment function generation

DURING the past few years, the accuracy of linear analogue-computing components has been improved to the extent that the present limitation on solution accuracy in analogue computation and simulation is caused almost entirely by the errors in nonlinear equipment. One nonlinear device which has found extensive use is the diode-type generator for arbitrary functions. In general, this device approximates a given function by means of short linear segments, which are located in the function plane as closely as possible to the desired function to obtain a minimum error of approximation. This technique is known as linear approximation.