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Acoustic Source Localization and Beamforming: Theory and Practice

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Circular-array Circular array (far-field (far field case)<br />

r [ sin , cos ]<br />

p<br />

Geometry factor:<br />

p<br />

p<br />

T<br />

2<br />

R /<br />

Penalty term due to the unknown speed:<br />

SNR factor:<br />

2<br />

2<br />

2<br />

2 N<br />

The CRB for DOA estimation is<br />

independent of the speed <strong>and</strong><br />

source direction !<br />

L<br />

v<br />

k<br />

/ 2<br />

1<br />

( 2<br />

k<br />

S<br />

c<br />

p<br />

zv<br />

( k)<br />

/ N )<br />

s<br />

1<br />

2<br />

0

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