Jordan representation of perfect reconstruction filter banks using nilpotent matrices

Authors:
Asha Vijayakumar;G. Abhilash
Affiliations:
Department of Electronics and Communication Engineering, National Institute of Technology, Calicut, Kerala, India;Department of Electronics and Communication Engineering, National Institute of Technology, Calicut, Kerala, India
Venue:
SIP'06 Proceedings of the 5th WSEAS international conference on Signal processing
Year:
2006

Citing 3
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Abstract

This paper contains the factorization of the polyphase matrix of finite impulse response perfect reconstruction filter banks into unimodular factors containing finite Jordan nilpotent structures and the associated transform matrices. An important contribution of the paper is the proposal of a systematic procedure for the construction of the transform matrices. The factorization is based on the M-channel lifting scheme which is essentially a prime factorization. It leads to simple implementation structures maintaining the computational complexity unchanged.