Generic invertibility of multidimensional FIR multirate systems and filter banks

Ka L. Law, Robert M. Fossum, Minh N. Do

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study the invertibility of M-variate polynomial (respectively : Laurent polynomial) matrices of size N by P. Such matrices represent multidimensional systems in various settings including filter banks,multiple-input multiple-output systems, and multirate systems. The main result of this paper is to prove that when N - P ≥ M, then H(z) is generically invertible; whereas when N -P < M, then H(z) is generically noninvertible. As a result, we can have an alternative approach in design of the multidimensional systems.

Original languageEnglish (US)
Title of host publication2009 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings, ICASSP 2009
Pages3385-3388
Number of pages4
DOIs
StatePublished - Sep 23 2009
Event2009 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2009 - Taipei, Taiwan, Province of China
Duration: Apr 19 2009Apr 24 2009

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149

Other

Other2009 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2009
CountryTaiwan, Province of China
CityTaipei
Period4/19/094/24/09

Keywords

  • Generic invertible
  • Generic property
  • Left invertibility
  • Multirate systems
  • Perfect reconstruction

ASJC Scopus subject areas

  • Signal Processing
  • Software
  • Electrical and Electronic Engineering

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  • Cite this

    Law, K. L., Fossum, R. M., & Do, M. N. (2009). Generic invertibility of multidimensional FIR multirate systems and filter banks. In 2009 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings, ICASSP 2009 (pp. 3385-3388). [4960351] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). https://doi.org/10.1109/ICASSP.2009.4960351