Designing filters for polyphase filter banks

The authors are concerned the filter design problem for a recently-proposed polyphase filter bank with an arbitrary number of subband channels. They have developed an analytical formula for the design of a prototype filter used in the polyphase filter bank. Compared with direct numerical design methods, this formula-based method allows the design of the required FIR lowpass prototype filter with a much lower complexity of operation and better filter bank performance. The theoretical results are further extended to two dimensions. Examples are also presented