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Robust Two-Dimensional FIR Filter Design for Broadband Beamformers
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1995 (English)Report (Other academic)
Abstract [en]

With conventional least squares or Chebyshev approximation methods in the design of a fixed, broadband, delay{and{sum beamformer, the filter weight values may become excessively large. This anomaly is due to large, unspecified regions of the corresponding two{dimensional FIR filter frequency plane. With large filter weight values, the frequency response of the resulting beamformer may be severely degraded due to inaccuracies in sensor positions and/or sensor frequency response. For an adaptive beamformer, such as the Generalized Sidelobe Canceller (GSC), an anomalous design of the upper and lower branch may cause reduced jammer suppression, and target signal cancellation, respectively. A robust design of these branches is therefore vital. In this paper, robust design procedures for both the least squares, and the Chebyshev error design criterion, are given. The resulting beamformer frequency responses are robust with respect to model imperfections in sensor positions, amplitudes and phases. When a probabilistic model of the inaccuracies is given, the least squares and Chebyshev approximations can be made robust by modifying the corresponding inner product and max{norm, respectively, so that the effect of perturbations is taken into account. When no probabilistic model is given, the straightforward approach is to keep control both on the approximation error, and on the magnitudes of the beamformer weights simultaneously. A robust weighted Chebyshev design criterion is defined, where a small Chebyshev error is traded off against small beamformer weights in an optimal way.

Place, publisher, year, edition, pages
Blekinge Tekniska Högskola Forskningsrapport, ISSN 1103-1581 ; 6
National Category
Signal Processing
URN: urn:nbn:se:bth-00003Local ID: diva2:838451
Available from: 2012-09-18 Created: 2000-03-15 Last updated: 2015-06-30Bibliographically approved

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Signal Processing

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