Divide-and-conquer piecewise linear fitting of gain for phase approximation

Certain phase approximations need 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 show how to determine the breakpoints when no other constraint is imposed. The method selected uses a divide-and-conquer approach. Results to piecewise linear approximation of gain and of the resulting phase approximation are also provided.