liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
On Optimal Dimension Reduction for Sensor Array Signal Processing
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1991 (English)Report (Other academic)
Abstract [en]

The computational complexity for direction-of-arrival estimation using sensor arrays increases very rapidly with the number of sensors in the array. One way to lower the amount of computations is to employ some kind of reduction of the data dimension. This is usually accomplished by employing linear transformations for mapping full dimension data into a lower dimensional space. Different approaches for selecting these transformations have been proposed. In this paper, a transformation matrix is derived that makes it possible to theoretically attain the full-dimension Cramér-Rao bound also in the reduced space. A bound on the dimension of the reduced data set is given, above which it is always possible to obtain the same accuracy for the estimates of the source localizations, using the lower-dimension data, as that achievable by using the full dimension data. Furthermore, a method is devised for designing the transformation matrix. Numerical examples, using this design method, are presented, where the achievable performance of the (optimal) Weighted Subspace Fitting method with full dimension data is compared to the performance obtained with reduced dimension data. The problem of estimating parameters of sinusoidal signals from noisy data is also addressed by a direct application of the results derived herein.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1991. , 26 p.
Series
LiTH-ISY-I, ISSN 8765-4321 ; 1242
Keyword [en]
Array processing, Dimension reduction, Cramér-Rao bound, Cisoids-in-noise
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55456ISRN: LiTH-ISY-I-1242OAI: oai:DiVA.org:liu-55456DiVA: diva2:316147
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-10-08

Open Access in DiVA

fulltext(250 kB)137 downloads
File information
File name FULLTEXT02.pdfFile size 250 kBChecksum SHA-512
8b09a55067b6c903985d948a555fd04590ed81e4dbb6cee08fbfed3ccadd84dfbfa0ce7545e03bae379f37802b1fb0da2ef6fc612cbdf5fb2ed7376ac41dafa2
Type fulltextMimetype application/pdf
fulltext(261 kB)57 downloads
File information
File name FULLTEXT01.psFile size 261 kBChecksum SHA-512
f16cc4e6a47bb20cbed8ffbe756a3a57448aad7cba4d703d672d387945a1354daccb7ecd7d561078958da1d977cee7a4bfa38c86245144e89f69da4a50392083
Type fulltextMimetype application/postscript

Authority records BETA

Andersson, Sören

Search in DiVA

By author/editor
Andersson, Sören
By organisation
Automatic ControlThe Institute of Technology
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 194 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 81 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf