TY - CONF
T1 - Approximate expressions for the mean and the covariance of the maximum likelihood estimator for acoustic source localization
T2 - Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on
Y1 - 2005
A1 - Raykar,V.C.
A1 - Duraiswami, Ramani
KW - (mathematics);
KW - acoustic
KW - approximate
KW - approximation
KW - array
KW - array;
KW - covariance
KW - estimation;
KW - expansion;
KW - expressions;
KW - function;
KW - likelihood
KW - localization;
KW - matrices;
KW - matrix;
KW - maximum
KW - mean
KW - microphone
KW - objective
KW - processing;
KW - series
KW - signal
KW - source
KW - Taylor
KW - theory;
KW - vector;
KW - vectors;
AB - Acoustic source localization using multiple microphones can be formulated as a maximum likelihood estimation problem. The estimator is implicitly defined as the minimum of a certain objective function. As a result, we cannot get explicit expressions for the mean and the covariance of the estimator. We derive approximate expressions for the mean vector and covariance matrix of the estimator using Taylor's series expansion of the implicitly defined estimator. The validity of our expressions is verified by Monte-Carlo simulations. We also study the performance of the estimator for different microphone array configurations.
JA - Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on
VL - 3
M3 - 10.1109/ICASSP.2005.1415649
ER -