Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/25624
Title: Near-Field broadband beamformer design via multidimensional semi-infinite linear programming techniques
Authors: Yiu, KFC
Yang, X 
Nordholm, S
Teo, KL
Issue Date: 2003
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on speech and audio processing, 2003, v. 11, no. 6, p. 725-732 How to cite?
Journal: IEEE transactions on speech and audio processing 
Abstract: 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.
URI: http://hdl.handle.net/10397/25624
ISSN: 1063-6676
DOI: 10.1109/TSA.2003.815527
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