MIMO - ISI channels: Inner-outer factorization and applications to equalization

Holger Boche, Volker Pohl

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

1 Scopus citations

Abstract

In the investigation of equalizers and precoders for multiple-input multiple-output systems with intersymbol interference, completely new phenomena appear if the causality of theses filters is required. To investigate these phenomena, the inner-outer factorization is an important tool, both for theoretical investigations as well as a practical algorithm to calculate such filters. This paper investigates the properties of the inner-outer factorization operator for matrix valued transfer functions. It derives sufficient conditions on the transfer functions such that the inner and outer factors have the same system theoretical properties as the given transfer function, and such that this factorization operator is bounded. A comparison to the spectral factorization mapping is provided and possible consequences for numerical algorithms are discussed.

Original languageEnglish
Title of host publicationIWCMC 2006 - Proceedings of the 2006 International Wireless Communications and Mobile Computing Conference
Pages1393-1398
Number of pages6
DOIs
StatePublished - 2006
Externally publishedYes
EventIWCMC 2006 - 2006 International Wireless Communications and Mobile Computing Conference - Vancouver, BC, Canada
Duration: 3 Jul 20066 Jul 2006

Publication series

NameIWCMC 2006 - Proceedings of the 2006 International Wireless Communications and Mobile Computing Conference
Volume2006

Conference

ConferenceIWCMC 2006 - 2006 International Wireless Communications and Mobile Computing Conference
Country/TerritoryCanada
CityVancouver, BC
Period3/07/066/07/06

Keywords

  • Equalization
  • Inner-outer factorization
  • MIMO systems
  • Spectral factorization

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