A Simple Proof of the Alternation Theorem
Palghat P. Vaidyanathan, Truong Q. Nguyen · 2018 52nd Asilomar Conference on Signals, Systems, and Computers · 2007
A simple proof of the alternation theorem for minimax FIR filter design is presented in this paper. It requires no background on mathematical optimization theory, and is based on easily understood properties of filters with equiripple behavior. The method is similar to the classical counting argument used in early mathematics literature. The contribution here is a simplified presentation which directly uses filter design language.