Design of recursive polyphase networks with optimum magnitude and minimum phase

A novel approach to the design of recursive polyphase networks with application to multirate filtering and digital filter banks is proposed. To this end, Pelloni's method [4] is extended such that all zeros of the polyphase network are located on the z-plane unit circle and all poles are single, corresponding to an optimum magnitude response with minimum phase. An example, taken from transmultiplexing applications, shows that the proposed method results in substantially improved filter designs compared with the approaches of Bellanger et al. [1], Vary [6] and Pelloni [4].