A real-valued block filter bank with perfect-reconstruction property

摘要

This paper discusses the perfect reconstruction (PR) condition of a maximally decimated block filter bank, which uses cyclic convolutions instead of linear convolutions used in the usual filter banks. This type of filter bank is particularly useful for subband coding for image data. It is observed that the PR condition of the block filter bank is less restrictive than that of the usual FIR filter banks. The PR condition is expressed in terms of DFT of the analysis filters for convenience of the filter design.