Divide-and-conquer Piecewise Linear Approximation of Gain and Phase Evaluation

Certain approaches to phase approximation ask as a first step in implementation for a piecewise linear fitting of gain. When the breakpoints are given, there are few ways to determine the slopes of the broken line approximation. In this paper we determine the breakpoints using a divide-and-conquer approach. Results to piecewise linear approximation of gain and of the resulting phase approximation are presented. For this purpose, we consider certain frequency responses, then the gain data are corrupted or altered.