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Acoustic Source Localization and Beamforming: Theory and Practice

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Cramer-rao Cramer rao bound<br />

“ Provides a lower bound on the estimator variance of an<br />

unbiased estimator” estimator<br />

Frequency domain in matrix form:<br />

X c<br />

( k)<br />

D(<br />

k)<br />

S ( k)<br />

( k)<br />

while<br />

Cramer-rao Cramer rao bound:<br />

X<br />

G(<br />

T<br />

H 2<br />

[ t cp,<br />

v,<br />

sc<br />

,...] R E[<br />

] L I<br />

s<br />

while H<br />

while<br />

G G G<br />

F 2 Re[ H R H ] H , , ,...<br />

s v<br />

1<br />

F<br />

s<br />

)<br />

c

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