CHEBYSHEV OPTIMIZATION FOR THE DESIGN OF BROAD-BAND BEAMFORMERS IN THE NEAR-FIELD

The use of microphone arrays for video conferences, hands-free mobile telephony and computer applications has created the demand for near-fi eld broadband beamformer design methods. Here, a general broadband bea mformer design problem is formulated as a weighted Chebyshev optimizat ion problem, and a method to solve the resulting functionally-constrai ned problem is presented, The formulation can also be applied to the d esign of multidimensional digital finite-impulse response (FIR) filter s with an arbitrarily specified amplitude and phase. Numerical results that demonstrate the minimax near-field behavior of the designed beam formers are given.