A Unified and Flexible Eigen-Solver for Rank-Deficient Matrix in MIMO Precoding/Beamforming Applications

Su An Chou, Amalia E. Rakhmania, Pei Yun Tsai

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

Abstract

Eigenvalue decomposition (EVD) is a widely adopted technique to separate signal, interference, and noise subspaces. The paper presents a unified eigen-solver based on QR decomposition (QRD) to generate eigenpairs associated with the largest eigenvalues or zero eigenvalues, which are required in the MIMO hybrid beamforming systems that need interference suppression. A non-uniformly constrained deflation is proposed, which forces the matrix to deflate in the beginning and efficiently allocates the computation power to the eigenpairs related with the largest eigenvalues. The computation complexity of generating interested eigenpairs is also evaluated for various matrix dimensions. The results demonstrate that the non-uniformly constrained deflation is effective and more computations can be saved if the desired number of eigenpairs is smaller than the rank of the matrix.

Original languageEnglish
Title of host publication2019 IEEE International Workshop on Signal Processing Systems, SiPS 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages218-223
Number of pages6
ISBN (Electronic)9781728119274
DOIs
StatePublished - Oct 2019
Event33rd IEEE International Workshop on Signal Processing Systems, SiPS 2019 - Nanjing, China
Duration: 20 Oct 201923 Oct 2019

Publication series

NameIEEE Workshop on Signal Processing Systems, SiPS: Design and Implementation
Volume2019-October
ISSN (Print)1520-6130

Conference

Conference33rd IEEE International Workshop on Signal Processing Systems, SiPS 2019
Country/TerritoryChina
CityNanjing
Period20/10/1923/10/19

Keywords

  • eigenvalue decomposition
  • MIMO precoding
  • rank-deficient

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