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Performance Limit of Broadband Beamformer Designs in Space and Frequency

Author

Listed:
  • Zhi Guo Feng

    (Chongqing Normal University
    Hong Kong Polytechnic University)

  • Ka Fai Cedric Yiu

    (Hong Kong Polytechnic University)

  • Sven Erik Nordholm

    (Curtin University)

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.

Suggested Citation

  • Zhi Guo Feng & Ka Fai Cedric Yiu & Sven Erik Nordholm, 2015. "Performance Limit of Broadband Beamformer Designs in Space and Frequency," Journal of Optimization Theory and Applications, Springer, vol. 164(1), pages 316-341, January.
    • Handle: RePEc:spr:joptap:v:164:y:2015:i:1:d:10.1007_s10957-014-0543-5
    DOI: 10.1007/s10957-014-0543-5
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    Cited by:

    1. Zhi Guo Feng & Fei Chen & Lin Chen & Ka Fai Cedric Yiu, 2020. "Optimality Analysis of a Class of Semi-infinite Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 186(2), pages 398-411, August.

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