Performance Limit of Broadband Beamformer Designs in Space and Frequency

Zhi Guo Feng (), Ka Fai Cedric Yiu () and Sven Erik Nordholm ()
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Zhi Guo Feng: Chongqing Normal University
Ka Fai Cedric Yiu: Hong Kong Polytechnic University
Sven Erik Nordholm: Curtin University

Journal of Optimization Theory and Applications, 2015, vol. 164, issue 1, No 17, 316-341

Abstract: Abstract The design problem of broadband beamformers is to choose the coefficients of the filters such that the difference between the actual spatial directivity pattern and a desired spatial directivity pattern is minimized. There are many factors which can influence the performance of the design. The prominent factors include the filter length and the number of microphones. In the literature, the condition in fitting a desired spatial directivity pattern totally has not been studied properly. We show here that it is essential to use both the filter length and the number of sensors in reducing the cost function to zero, subject to some conditions on the desired response. These conditions are investigated and developed. Numerical examples are used to verify the derived conditions and at the same time to present some optimal beamformer designs.

Keywords: Optimal beamformer design; Performance limit; Filter length; Number of microphones; 42A10; 62P30 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-014-0543-5

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