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.
Original language | English |
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Pages (from-to) | 725-732 |
Number of pages | 8 |
Journal | IEEE Transactions on Speech and Audio Processing |
Volume | 11 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Nov 2003 |
ASJC Scopus subject areas
- Acoustics and Ultrasonics
- Electrical and Electronic Engineering