Weighted Chebyshev approximation for the design of broadband beamformers using quadratic programming
- 1 July 1994
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Signal Processing Letters
- Vol. 1 (7), 103-105
- https://doi.org/10.1109/97.311804
Abstract
A method to solve a general broadband beamformer design problem is formulated as a quadratic program. As a special case, the minimax near-field design problem of a broadband beamformer is solved as a quadratic programming formulation of the weighted Chebyshev approximation problem. The method can also be applied to the design of multidimensional digital FIR filters with an arbitrarily specified amplitude and phase. For linear phase multidimensional digital FIR filters, the quadratic program becomes a linear program. Examples are given that demonstrate the minimax near-field behavior of the beamformers designed.Keywords
This publication has 6 references indexed in Scilit:
- METEOR: a constraint-based FIR filter design programIEEE Transactions on Signal Processing, 1992
- Beamforming: a versatile approach to spatial filteringIEEE ASSP Magazine, 1988
- A comparison of algorithms for minimax design of two-dimensional linear phase FIR digital filtersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1977
- Chebyshev approximation for two-dimensional nonrecursive digital filtersIEEE Transactions on Circuits and Systems, 1975
- Design techniques for two-dimensional digital filtersIEEE Transactions on Audio and Electroacoustics, 1972
- Linear program design of finite impulse response (FIR) digital filtersIEEE Transactions on Audio and Electroacoustics, 1972