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Near-field broadband beamformer design via multidimensional semi-infinite-linear programming techniques

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4 Author(s)
Ka Fai Cedric Yiu ; Dept. of Ind. & Manuf. Syst. Eng., Univ. of Hong Kong, China ; Xiaoqi Yang ; Nordholm, S. ; Kok Lay Teo

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.

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Speech and Audio Processing, IEEE Transactions on  (Volume:11 ,  Issue: 6 )