Rational canonical form of polyphase matrices with applications to designing paraunitary filter banks
Peter G. Vouras, Trac Duy Tran, Michael Ching · 2009
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.