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Array interpolation and DOA MSE reduction
Swedish Defence Research Agency (FOI), SE-172 90, Stockholm, Sweden.
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0002-6855-5868
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-2298-6774
2005 (English)In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, Vol. 53, no 12, 4464-4471 p.Article in journal (Refereed) Published
Abstract [en]

Interpolation or mapping of data from a given real array to data from a virtual array of more suitable geometry is well known in array signal processing. This operation allows arrays of any geometry to be used with fast direction-of-arrival (DOA) estimators designed for linear arrays. In an earlier companion paper [21], a first-order condition for zero DOA bias under such mapping was derived and was also used to construct a design algorithm for the mapping matrix that minimized the DOA estimate bias. This bias-minimizing theory is now extended to minimize not only bias, but also to consider finite sample effects due to noise and reduce the DOA mean-square error (MSE). An analytical first-order expression for mapped DOA MSE is derived, and a design algorithm for the transformation matrix that minimizes this MSE is proposed. Generally, DOA MSE is not reduced by minimizing the size of the mapping errors but instead by rotating these errors and the associated noise subspace into optimal directions relative to a certain gradient of the DOA estimator criterion function. The analytical MSE expression and the design algorithm are supported by simulations that show not only conspicuous MSE,improvements in relevant scenarios, but also a more robust preprocessing for low signal-to-noise ratios (SNRs) as compared with the pure bias-minimizing design developed in the previous paper.

Place, publisher, year, edition, pages
IEEE Signal Processing Society, 2005. Vol. 53, no 12, 4464-4471 p.
Keyword [en]
array interpolation, array mapping, array preprocessing, bias reduction, direction-of-arrival (DOA) mean-square-error (MSE) reduction, music, performance
National Category
Signal Processing
Identifiers
URN: urn:nbn:se:kth:diva-15224DOI: 10.1109/tsp.2005.859341ISI: 000233681400004Scopus ID: 2-s2.0-29144494165OAI: oai:DiVA.org:kth-15224DiVA: diva2:333265
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2012-02-11Bibliographically approved

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Jansson, MagnusOttersten, Björn

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