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

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2009
Accession Number
ADA553868

Entities

People

  • Michael Ching
  • Peter Vouras
  • Trac Tran

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Coefficients
  • Complex Numbers
  • Computations
  • Decomposition
  • Frequency Response
  • Information Operations
  • Mathematics
  • Military Research
  • Numbers
  • Polynomials
  • Rational Functions
  • Rotation
  • Signal Processing
  • Weighting Functions

Fields of Study

  • Engineering

Readers

  • Image Processing and Computer Vision.
  • Mathematical Modeling and Probability Theory.