An iterative approach to FIR filter design with reduced group delay error via semidefinite programming

This paper considers the problem of designing an approximately linear phase FIR digital filter. The main problem could be divided into a series of subproblems which are Semidefinite Programs (SDPs) and can be solved efficiently using off-the-shelf solvers. Inspired by Steiglitz-McBride approach, we propose a novel iterative algorithm to obtain better performance in reducing the group delay error. Simulation results illustrate that the proposed approach has a better performance than other conventional design methods.