Filter design for polyphase filter banks with arbitrary number of subband channel

Consideration is given to the filter design problem for a recently proposed polyphase filter bank with an arbitrary number of subband channels. On the basis of the perfect reconstruction condition for the 1-D case, an analytical formula for the filter design is developed. Compared with direct numerical design algorithms, this analytical formula allows one to design the required low-pass FIR prototype filter with much less computational complexity and to obtain better filter bank performance. A design example is given for illustration