Sparse pseudo inverse of the discrete plane wave transform

Robert J. Adams, Yuan Xu, Francis X. Canning

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

An algorithm is presented for the sparse pseudo inversion of discrete forms of the plane wave transform. The starting point for the sparse pseudo inverse is a new sparse representation of the discrete plane wave transform (DPWT). While other sparse representations of the DPWT exist, the sparse representation developed here is shown to be amenable to sparse factorization. This feature is used to develop an efficient, error-controlled pseudo-inverse of the DPWT. Representative numerical examples are provided to illustrate the general properties of the proposed algorithms. Areas for additional work are identified, and potential applications of the results are discussed.

Original languageEnglish
Pages (from-to)475-484
Number of pages10
JournalIEEE Transactions on Antennas and Propagation
Volume56
Issue number2
DOIs
StatePublished - Feb 2008

Bibliographical note

Funding Information:
Manuscript received October 23, 2006; revised April 18, 2007. This work was supported by the Office of Naval Research under Contract N00014-04-1-0485 and the National Science Foundation under Grant ECS-0547497. R. J. Adams and Y. Xu are with the Department of Electrical and Computer Engineering, University of Kentucky, Lexington, KY 40506-0046 USA (e-mail: rjadams@uky.edu). F. X. Canning is with Simply Sparse Technologies, Inc., Morgantown, WV 26508-0948 USA. Digital Object Identifier 10.1109/TAP.2007.915420

Keywords

  • Electromagnetic fields
  • Linear algegra
  • Numerical analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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