Acoustic Source Localization and Beamforming: Theory and Practice
Acoustic Source Localization and Beamforming: Theory and Practice
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