@conference {14024,
title = {Approximate expressions for the mean and the covariance of the maximum likelihood estimator for acoustic source localization},
booktitle = {Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP {\textquoteright}05). IEEE International Conference on},
volume = {3},
year = {2005},
month = {2005/03//},
pages = {iii/73 - iii/76 Vol. 3 - iii/73 - iii/76 Vol. 3},
abstract = {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{\textquoteright}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.},
keywords = {(mathematics);, acoustic, approximate, approximation, array, array;, covariance, estimation;, expansion;, expressions;, function;, likelihood, localization;, matrices;, matrix;, maximum, mean, microphone, objective, processing;, series, signal, source, Taylor, theory;, vector;, vectors;},
doi = {10.1109/ICASSP.2005.1415649},
author = {Raykar,V.C. and Duraiswami, Ramani}
}