article · Defense Technical Information Center (DTIC) · 2004

Competitive Mean-Squared Error Beamforming

Cited by 6Abstract and details only

Abstract

We consider the problem of designing a linear beamformer to estimate a source signal s(t) from array observations. Conventional beamforming methods typically aim at maximizing the signal-to-interference-plus-noise ratio (SINR). However this does not guarantee a small mean-squared error (MSE), hence on average their resulting signal estimate ^s(t) can be far from s(t). To ensure that ^s(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. Therefore we develop a competitive beamforming approach, in which the beamformer is designed to minimize the worst-case regret over all s(t), where the regret is the difference between the MSE using a beamformer ignorant of s(t) and the smallest possible MSE attainable with a beamformer that knows s(t). Thus, we ensure that over a wide range of signal values, our beamformer will result in a relatively low MSE. We demonstrate through numerical examples that the proposed minimax regret beamformer (MMR) outperforms several existing standard and robust beamformers, for wide range of SNR values.

Cite this paper

APA 7

Eldar, Y. C., & Nehorai, A. (2004). Competitive Mean-Squared Error Beamforming. Defense Technical Information Center (DTIC).

MLA 9

Eldar, Yonina C., and Arye Nehorai. “Competitive Mean-Squared Error Beamforming.” Defense Technical Information Center (DTIC), 2004.

Chicago

Eldar, Yonina C., and Arye Nehorai. 2004. “Competitive Mean-Squared Error Beamforming.” Defense Technical Information Center (DTIC).

Harvard

Eldar, Y.C. and Nehorai, A. (2004) ‘Competitive Mean-Squared Error Beamforming’, Defense Technical Information Center (DTIC).

BibTeX

@article{eldar2004competitive,
  title = {{Competitive Mean-Squared Error Beamforming}},
  author = {Eldar, Yonina C. and Nehorai, Arye},
  journal = {Defense Technical Information Center (DTIC)},
  year = {2004}
}

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