Rational Canonical Form of Polyphase Matrices with Applications to Designing Paraunitary Filter Banks

摘要

In this paper we consider the rational canonical form of arbitrary polyphase matrices and use it to derive a simple implementation of paraunitary filter banks (PUFBs) based on a cascade of elementary building blocks. Furthermore, this decomposition is shown to be easily extendable to include a large class of perfect reconstruction filter banks (PRFBs) and can be especially useful for deriving the initial condition of PUFB design algorithms.