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Constrained quadratic minimizations for signal processing and communications
Department of Electrical and Computer Engineering, Colorado State University.
Department of Electrical and Computer Engineering and Statistics, Colorado State University.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.
Departments of Electrical and Computer Engineering, and Mathematics, Colorado State University.
2005 (English)In: 44th IEEE Conference on Decision and Control & European Control Conference: Seville, Spain, 12 - 15 December 2005, Piscataway, NJ: IEEE Communications Society, 2005, p. 7949-7953Conference paper, Published paper (Refereed)
Abstract [en]

Constrained minimization problems considered here arise in the design of multi-dimensional subspace beamformers for radar, sonar, seismology, and wireless communications, and in the design of precoders and equalizers for digital communications. The problem is to minimize a quadratic form, under a set of linear or quadratic constraints. We derive the solutions to these problems and establish connections between them. We show that the quadratically- constrained problem can be solved by solving a set of linearly-constrained problems and then using a majorization argument and Poincare's separation theorem to determine which linearly-constrained problem solves the quadratically-constrained one. In addition, we present illuminating circuit diagrams for our solutions, called generalized sidelobe canceller (GSC) diagrams, which allow us to tie our constrained minimizations to linear minimum mean-squared error (LMMSE) estimations

Place, publisher, year, edition, pages
Piscataway, NJ: IEEE Communications Society, 2005. p. 7949-7953
Series
I E E E Conference on Decision and Control. Proceedings, ISSN 0743-1546
National Category
Signal Processing
Research subject
Signal Processing
Identifiers
URN: urn:nbn:se:ltu:diva-29777DOI: 10.1109/CDC.2005.1583447Scopus ID: 2-s2.0-33847204053Local ID: 35af1090-3749-11df-be5c-000ea68e967bISBN: 0-7803-9567-0 (print)OAI: oai:DiVA.org:ltu-29777DiVA, id: diva2:1003003
Conference
IEEE Conference on Decision and Control : 12/12/2005 - 15/12/2005
Note
Validerad; 2005; 20100324 (andbra)Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2018-07-10Bibliographically approved

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Lundberg, Magnus

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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Output format
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