Sufficient condition for invertibility of square fir mimo systems

Sander Wahls, Holger Boche

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We derive a sufficient condition for a square FIR MIMO system to have a causal and stable IIR inverse. The condition requires that the spectral norm of the normalized channel impulse response (i.e., the first tap is the identity matrix) is below a certain bound. Intuitively, this means that the system has a strong first tap. This condition often is easier to check than the usual minimum-phaseness, where the roots of the systems determinant have to be computed. Simple approximations of the bound are found. Furthermore, we also give a negative result: the Wiener Filter, which approximates the inverse under low noise conditions, nevertheless always is non-causal. We apply our results to two inversion problems with causality and stability constraint. These problems arise in oversampled noise-shaping subband coding and residual interference cancellation in precoded systems, respectively.

Original languageEnglish
Title of host publication2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3690-3693
Number of pages4
ISBN (Print)9781424442966
DOIs
StatePublished - 2010
Externally publishedYes
Event2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Dallas, TX, United States
Duration: 14 Mar 201019 Mar 2010

Publication series

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

Conference

Conference2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010
Country/TerritoryUnited States
CityDallas, TX
Period14/03/1019/03/10

Keywords

  • Causality
  • Equalizers
  • IIR digital filters
  • MIMO systems
  • Stability

Fingerprint

Dive into the research topics of 'Sufficient condition for invertibility of square fir mimo systems'. Together they form a unique fingerprint.

Cite this