Soft constrained minimum variance beamforming
- 4 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 2811-2814 vol.5
- https://doi.org/10.1109/icassp.1990.116210
Abstract
The mean-squared error between the desired and actual response is constrained, resulting in a quadratic constraint on the weights. The constraint is purposely chosen to permit signal distortion with the goal of achieving improved interference cancellation, motivating the term 'soft constrained' beamforming. The soft constrained minimum variance (SCMV) philosophy represents a trade of bias (signal distortion) for reduced variance (interference power). A key result is a proof guaranteeing that under ideal conditions the signal-to-noise ratio (SNR) is a nondecreasing function of the bound on the mean squared response error. This implies that by allowing the signal distortion to increase the beamformer can provide much better interference cancellation, such that the SNR improves or remains constant. The potential SNR improvement resulting from the use of soft constraints is greatest for systems operating at broad bandwidths.Keywords
This publication has 7 references indexed in Scilit:
- Adaptive optimization of microphone arrays under a nonlinear constraintPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Noise cancellation for hearing aidsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1988
- Robust adaptive beamformingIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- Spatial/Spectral filtering with linearly constrained minimum variance beamformersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- Adaptive microphone-array system for noise reductionIEEE Transactions on Acoustics, Speech, and Signal Processing, 1986
- An alternative formulation for an optimum beamformer with robustness capabilityIEE Proceedings F Communications, Radar and Signal Processing, 1985
- An algorithm for linearly constrained adaptive array processingProceedings of the IEEE, 1972