A Krylov subspace Multi-Stage decomposition of the transmit Wiener Filter

Guido Dietl, Michael Joham, Philipp Kreuter, Johannes Brehmer, Wolfgang Utschick

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

2 Scopus citations

Abstract

Besides methods based on eigensubspaces, the reduced-rank Multi-Stage Wiener Filter (MSWF) is a well-known approach for the approximation of the Wiener Filter, the op timum linear receive filter in the minimum mean square error sense, in a lower-dimensional subspace in order to reduce computational complexity and enhance performance in case of low sample support. Analogous, the Transmit Wiener Filter (TxWF) is the optimum linear filter at the transmitter side where the receiver is kept simple since it applies only a scalar weighting. In this paper, we use the principles of the MSWF to derive a multi-stage decomposition of the TxWF which we denote Transmit Multi-Stage Wiener Filter (TxMSWF). In addition, we will show that the reduced-rank TxMSWF can be seen as an approximation of the TxWF in a Krylov subspace. Simulation results reveal that the TxMSWF achieves near optimum performance for relatively low rank. Thus, it is an interesting alternative to low complexity approximations of the TxWF in eigensubspaces.

Original languageEnglish
Title of host publication2004 ITG Workshop on Smart Antennas - Proceedings
Pages247-252
Number of pages6
StatePublished - 2004
Event2004 ITG Workshop on Smart Antennas - Proceedings - Munich, Germany
Duration: 18 Mar 200419 Mar 2004

Publication series

Name2004 ITG Workshop on Smart Antennas - Proceedings

Conference

Conference2004 ITG Workshop on Smart Antennas - Proceedings
Country/TerritoryGermany
CityMunich
Period18/03/0419/03/04

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