Generalized Broadband Beamforming Using a Modal Subspace Decomposition. (5th September 2006)

• Record Type: Journal Article
• Authors: Williams Williams, Michael I. Y. Michael I. Y.; Abhayapala Abhayapala, Thushara D. Thushara D.; Kennedy Kennedy, Rodney A. Rodney A.
• Other Names: Poor Poor Vincent Vincent Academic Editor.
• Is Part Of: EURASIP journal on advances in signal processing. Volume 2007(2007)
• Publication Date: 2006-09-05
• Subjects: Signal processing -- Periodicals; Traitement du signal; Signal processing; Periodicals; 621.3822
• DOI: 10.1155/2007/68291
• Languages: English
• ISSNs: 1687-6172

Abstract

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.