A Design of Paraunitary Polyphase Matrices of Rational Filter Banks Based on (P,Q) Shift-Invariant Systems
Abstract
In this paper we present a method to design paraunitary polyphase matrices of critically sampled rational filter banks. The method is based on (P,Q) shift-invariant systems, and so any kind of rational splitting of the frequency spectrum can be achieved using this method. Ideal (P,Q) shift-invariant system with smallest P and Q that map of a band of input spectrum to the output spectrum are obtained. A new set of filters is obtained that characterize a (P,Q) shift-invariant system. Ideal frequency spectrum of these filters are obtained using ideal shift-invariant systems. Actual paraunitary polyphase matrices are then obtained by minimizing the stopband energies of these filters against the parameters of the paraunitary polyphase matrices.
Keywords
Cite
@article{arxiv.1004.4758,
title = {A Design of Paraunitary Polyphase Matrices of Rational Filter Banks Based on (P,Q) Shift-Invariant Systems},
author = {Sudarshan Shinde},
journal= {arXiv preprint arXiv:1004.4758},
year = {2010}
}