Performance Limit of Broadband Beamformer Designs in Space and Frequency

Zhi Guo Feng; Ka Fai Cedric Yiu; Sven Erik Nordholm

doi:10.1007/s10957-014-0543-5

Performance Limit of Broadband Beamformer Designs in Space and Frequency

Zhi Guo Feng, Ka Fai Cedric Yiu, Sven Erik Nordholm

Research output: Journal article publication › Journal article › Academic research › peer-review

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	316-341
Number of pages	26
Journal	Journal of Optimization Theory and Applications
Volume	164
Issue number	1
DOIs	https://doi.org/10.1007/s10957-014-0543-5
Publication status	Published - 1 Jan 2014

Keywords

Filter length
Number of microphones
Optimal beamformer design
Performance limit

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

More information

10.1007/s10957-014-0543-5

Cite this

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Performance Limit of Broadband Beamformer Designs in Space and Frequency

Abstract

Keywords

ASJC Scopus subject areas

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