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 language | English |
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Pages (from-to) | 475-484 |
Number of pages | 10 |
Journal | IEEE Transactions on Antennas and Propagation |
Volume | 56 |
Issue number | 2 |
DOIs | |
State | Published - 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: [email protected]). F. X. Canning is with Simply Sparse Technologies, Inc., Morgantown, WV 26508-0948 USA. Digital Object Identifier 10.1109/TAP.2007.915420
Funding
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: [email protected]). F. X. Canning is with Simply Sparse Technologies, Inc., Morgantown, WV 26508-0948 USA. Digital Object Identifier 10.1109/TAP.2007.915420
Funders | Funder number |
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National Science Foundation (NSF) | ECS-0547497 |
Office of Naval Research | N00014-04-1-0485 |
Keywords
- Electromagnetic fields
- Linear algegra
- Numerical analysis
ASJC Scopus subject areas
- Electrical and Electronic Engineering