Design of Nonlinear-Phase FIR-Filters Based on Signomial Programming
Maja Jurisic Bellotti, Mladen Vučić · 2019
The design of sparse FIR filters leads to combinatorial optimization problems, which can be rarely solved in an acceptable time. Therefore, many approximate methods have been considered. Most of them are focused on the design of linear-phase filters whereas only few of them pay attention to nonlinear-phase design. In this paper, we propose a method for the design of sparse nonlinear-phase FIR filters. In particular, we consider lowpass filters whose magnitude responses are constrained in a minimax sense. The proposed method utilizes lp-norm with 0p-norm with 0 <; p <; 1 and signomial programming can be effectively used in the design of nonlinear-phase FIR filters.