Statistical analysis of the finite sample forward-backward MVDR beamformer

Zhang, L. , Liu, W. and Yu, L. (2011) Statistical analysis of the finite sample forward-backward MVDR beamformer. In: 2011 IEEE Statistical Signal Processing Workshop (SSP), Nice, France, 28-30 Jun 2011, pp. 421-424. ISBN 9781457705694 (doi: 10.1109/SSP.2011.5967721)

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A statistical analysis is provided for the sample co-variance matrix of the forward-backward (FB) minimum variance distortionless response (MVDR) beamformer. Unlike the forward-only case, its covariance matrix does not follow the complex-valued Wishart distribution. However, we can prove that after a proposed unitary transformation, the new covariance matrix has a real-valued Wishart distribution. Based on this result, a close-form expression of the output SINR (signal-to-interference-plus-noise ratio) for the finite sample FB MVDR beamformer is then derived. Our analysis shows that the error of the output SINR with FB precessing is reduced approximately by half compared with the case without it, as also verified by simulations.

Item Type:Conference Proceedings
Keywords:Array signal processing, covariance matrices, interference (signal), statistical analysis, FB minimum variance distortionless response, Wishart distribution, covariance matrix, finite sample FB MVDR beamformer, forward-backward MVDR beamformer, output SINR, signal-to-interference-plus-noise ratio, statistical analysis, Array signal processing, Arrays, Correlation, Covariance matrix, Interference, Matrices, Signal to noise ratio, MVDR beamformer, Wishart distribution, finite sample, forward backward.
Glasgow Author(s) Enlighten ID:Zhang, Professor Lei
Authors: Zhang, L., Liu, W., and Yu, L.
College/School:College of Science and Engineering > School of Engineering

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