Multi-Microphone Speech Enhancement - =1=Using LCMV ...
Multi-Microphone Speech Enhancement - =1=Using LCMV ...
Multi-Microphone Speech Enhancement - =1=Using LCMV ...
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<strong>LCMV</strong> Beamformer<br />
Criterion and Solution<br />
The Linearly Constrained Minimum Variance Beamformer<br />
Er, Cantoni, 1983; Van Veen, Buckley, 1988<br />
y(l, k) = w H (l, k)z(l, k)<br />
<strong>LCMV</strong> Criterion<br />
Let Φ zz (l, k) be the received signals correlation matrix.<br />
Minimize output power<br />
w H (l, k)Φ zz (l, k)w(l, k),<br />
such that the linear constraint set is satisfied:<br />
C H (l, k)w(l, k) = g(l, k).<br />
Closed-form solution exists (but we hardly use them)<br />
S. Gannot (BIU) <strong>Multi</strong>-<strong>Microphone</strong> <strong>Speech</strong> <strong>Enhancement</strong> IWAENC 2012 9 / 53
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