DocumentCode :
1899922
Title :
Uniformly robust mean-squared error beamforming
Author :
Eldar, Yonina C. ; Nehorai, Arye
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
fYear :
2004
fDate :
18-21 July 2004
Firstpage :
362
Lastpage :
366
Abstract :
We consider the problem of designing a linear beamformer to estimate a source signal s(t) from array observations, where the goal is to obtain an estimate s&capped;(t) that is close to s(t). Although standard beamforming approaches are aimed at maximizing the signal-to-interference-plus-noise ratio (SINR), maximizing SINR does not guarantee a small mean-squared error (MSE), hence on average a signal estimate maximizing the SINR can be far from s(t). To ensure that s&capped;(t) is close to s(t), we propose using the more appropriate design criterion of MSE. Since the MSE depends in general on s(t) which is unknown, it cannot be minimized directly. Instead, we suggest two beamforming methods that minimize a worst-case measure of MSE. We first consider a minimax MSE beamformer that minimizes the worst-case MSE. We then consider a minimax regret beamformer that minimizes the worst-case difference between the MSE using a beamformer ignorant of s(t) and the smallest possible MSE attainable with a beamformer that knows s(t). We demonstrate through numerical examples that the proposed minimax methods outperform several existing standard and robust beamformers, over a wide range of SNR values.
Keywords :
array signal processing; mean square error methods; minimax techniques; MSE; SINR; array observation; linear beamformer; mean-squared error beamforming; minimax method; signal-to-interference-plus-noise ratio; source signal estimation; Amplitude estimation; Array signal processing; Estimation error; Interference cancellation; Minimax techniques; Robustness; Sensor arrays; Signal design; Signal to noise ratio; Spectral analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Sensor Array and Multichannel Signal Processing Workshop Proceedings, 2004
Print_ISBN :
0-7803-8545-4
Type :
conf
DOI :
10.1109/SAM.2004.1502970
Filename :
1502970
Link To Document :
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