Two-dimensional polyphase filter banks with arbitrary number of subband channels

Two-dimensional (2-D) polyphase filter banks for 2-D subband signal processing systems are described. New 2-D polyphase filter banks with an arbitrary number of subband channels are presented. The concept of nonsymmetric frequency band allocation for the construction of subband bandpass filters is extended to the 2-D case. The subband bandpass filters required in both analysis and synthesis filter banks are then constructed from the frequency translations of a 2-D prototype lowpass filter. The constraints of perfect aliasing cancellation and signal reconstruction are derived for cases of separable and nonseparable 2-D prototype lowpass filters. Simulation results that confirm the theoretical analyses are also provided.<>