Novel system inversion algorithm with application to oversampled perfect reconstruction filter banks

Sander Wahls, Holger Boche

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We derive a novel algorithm for linear (discrete-time) system inversion with decision delay and frequency weighted H2 norm criterion. Complexity of the algorithm grows only linearly with the decision delay. The algorithm also applies to certain singular cases where optimal inverses may be nonunique. In that case, the set of optimal inverses is parametrized. A Scilab implementation of the algorithm is provided. Applications in oversampled perfect reconstruction filter banks are given.

Original languageEnglish
Article number5422745
Pages (from-to)3008-3016
Number of pages9
JournalIEEE Transactions on Signal Processing
Volume58
Issue number6
DOIs
StatePublished - Jun 2010
Externally publishedYes

Keywords

  • Filter bank
  • IIR digital filters
  • Inversion
  • MIMO systems
  • Perfect reconstruction
  • State space methods

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