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Generalized Broadband Beamforming Using a Modal Subspace Decomposition

EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 068291 (2006) Cite this article

Abstract

We propose a new broadband beamformer design technique which produces an optimal receiver beam pattern for any set of field measurements in space and time. The modal subspace decomposition (MSD) technique is based on projecting a desired pattern into the subspace of patterns achievable by a particular set of space-time sampling positions. This projection is the optimal achievable pattern in the sense that it minimizes the mean-squared error (MSE) between the desired and actual patterns. The main advantage of the technique is versatility as it can be applied to both sparse and dense arrays, nonuniform and asynchronous time sampling, and dynamic arrays where sensors can move throughout space. It can also be applied to any beam pattern type, including frequency-invariant and spot pattern designs. A simple extension to the technique is presented for oversampled arrays, which allows high-resolution beamforming whilst carefully controlling input energy and error sensitivity.

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Authors and Affiliations

  1. Department of Information Engineering, Research School of Information Sciences and Engineering, Canberra, ACT 0200, Australia

    Michael I. Y. Williams, Thushara D. Abhayapala & Rodney A. Kennedy

Authors
  1. Michael I. Y. Williams
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  2. Thushara D. Abhayapala
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  3. Rodney A. Kennedy
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Correspondence to Michael I. Y. Williams.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Williams, M.I.Y., Abhayapala, T.D. & Kennedy, R.A. Generalized Broadband Beamforming Using a Modal Subspace Decomposition. EURASIP J. Adv. Signal Process. 2007, 068291 (2006). https://doi.org/10.1155/2007/68291

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  • DOI: https://doi.org/10.1155/2007/68291

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