Implementation issues in 2-D filter bank design based on matrix factorization

The problem of the design and effective implementation of multi-dimensional filter banks with prescribed properties is considered. Several algorithms for polyphase matrices factorization are presented. After such a factorization the number of computations may become much lower. The results for the 2-channel FBs are given. For the 3-channel multirate system an algorithmic version of Suslin's stability theorem may be useful for factoring the polyphase matrices.