Near-Field Broadband Beamformer Design via Multidimensional Semi-Infinite Linear Programming Techniques

Ka Fai Cedric Yiu, Xiaoqi Yang, Sven Nordholm, Kok Lay Teo

Research output: Journal article publicationJournal articleAcademic researchpeer-review

47 Citations (Scopus)


Broadband microphone arrays has important applications such as hands-free mobile telephony, voice interface to personal computers and video conference equipment. This problem can be tackled in different ways. In this paper, a general broadband beamformer design problem is considered. The problem is posed as a Chebyshev minimax problem. Using the l1-norm measure or the real rotation theorem, we show that it can be converted into a semi-infinite linear programming problem. A numerical scheme using a set of adaptive grids is applied. The scheme is proven to be convergent when a certain grid refinement is used. The method can be applied to the design of multidimensional digital finite-impulse response (FIR) filters with arbitrarily specified amplitude and phase.
Original languageEnglish
Pages (from-to)725-732
Number of pages8
JournalIEEE Transactions on Speech and Audio Processing
Issue number6
Publication statusPublished - 1 Nov 2003

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering


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