Viswanadha Reddy P *, Anamitra Makur #

* General Electric, Bangalore, India
# Nanyang Technological University, Singapore

Abstract:
In this work, the problem of design of $M$ channel IIR causal stable perfect reconstruction filter banks are addressed and some designs based on the minimal factorization of the state space form of the polyphase matrix are presented based on the concept of factorization of rational matrix functions. The analysis and synthesis polyphase matrices are constrained to be minimal. In the first method, eigen values of the state transition matrices of the
analysis and the synthesis bank may be different. In the second method, these eigen values are chosen to be same. A design technique to reduce the optimizaiton cost based on sequential (stage-by-stage) design is also presented to reduce the optimization cost. Simulation results are also presented.