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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: IEEE Statistical Signal Processing Workshop (SSP), 2011, 2011-06-28 - 2011-06-30, Nice, France.

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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 or Workshop Item (Conference Paper)
Subjects : Electronic Engineering
Divisions : Surrey research (other units)
Authors :
Liu, W
Yu, L
Date : September 2011
DOI : 10.1109/SSP.2011.5967721
Copyright Disclaimer : © 2011 IEEE
Contributors :
Uncontrolled Keywords : Wishart distribution, Forward backward, MVDR beamformer, Finite sample, Signal to noise ratio, Interference, Arrays, Covariance matrix, Correlation, Matrices, Array signal processing
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 13:58
Last Modified : 23 Jan 2020 19:00

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