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On fixed-point implementation of symmetric matrix inversion
Linköping University, Department of Electrical Engineering, Computer Engineering. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Electrical Engineering, Computer Engineering. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0003-3470-3911
2015 (English)In: Proceedings of the European Conference on Circuit Theory and Design (ECCTD), Piscataway, NJ, USA: IEEE , 2015, 440-443 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this work we explore the trade-offs between established algorithms for symmetric matrix inversion for fixed-point hardware implementation. Inversion of symmetric positive definite matrices finds applications in many areas, e.g. in MIMO detection and adaptive filtering. We explore computational complexity and show simulation results where numerical properties are analyzed. We show that LDLT decomposition combined with equation system solving are the most promising algorithm for fixed-point hardware implementation. We further show that simply counting the number of operations does not establish a valid comparison between the algorithms as the required word lengths differ significantly.

Place, publisher, year, edition, pages
Piscataway, NJ, USA: IEEE , 2015. 440-443 p.
Keyword [en]
matrix inversion, fixed point arithmetic, symmetric matrix
National Category
Signal Processing
Identifiers
URN: urn:nbn:se:liu:diva-124357DOI: 10.1109/ECCTD.2015.7300068ISI: 000380498200050ISBN: 978-1-4799-9877-7 (print)OAI: oai:DiVA.org:liu-124357DiVA: diva2:974167
Conference
2015 European Conference on Circuit Theory and Design (ECCTD), Trondheim, Norway, 24-26 Aug. 2015
Available from: 2016-01-27 Created: 2016-01-27 Last updated: 2016-09-25Bibliographically approved

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Ingemarsson, CarlGustafsson, Oscar

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NB
  • sv-SE
  • Other locale
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Output format
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