Performance Analysis for Finite Sample MVDR Beamformer With Forward Backward Processing

Authors:
Lei Zhang; Wei Liu; Lei Yu
Affiliations:
Dept. of Electron. & Electr. Eng., Univ. of Sheffield, Sheffield, UK;-;-
Venue:
IEEE Transactions on Signal Processing
Year:
2011

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Robust forward backward based beamformer for a general-rank signal model with real-valued implementation

Signal Processing

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Abstract

The employment of forward-backward (FB) processing to both batch and adaptive beamformers provides a superior performance than the forward only (FO) algorithm. Based on the finite-sample minimum variance distortionless response (MVDR) beamformer, a set of closed-form expressions for the variance of the weight vector, the output signal-to-interference-plus-noise ratio (SINR) and the mean-square error (MSE) is derived, for both FB and FO algorithms. As shown in our analysis, all errors of the FB algorithm are only approximately half of the FO case.