Performance Limit of Broadband Beamformer Designs in Space and Frequency

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

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


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 languageEnglish
Pages (from-to)316-341
Number of pages26
JournalJournal of Optimization Theory and Applications
Issue number1
Publication statusPublished - 1 Jan 2014


  • Filter length
  • Number of microphones
  • Optimal beamformer design
  • Performance limit

ASJC Scopus subject areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

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