Given an array of speakers and a set of noisy inter-speaker range estimates, we consider the problem of estimating the relative positions of the array elements. A closed-form position estimator which minimizes an equation error norm is presented and shown to be related to a multidimensional scaling analysis. The information inequality is used to bound position estimate mean square error and to gauge the accuracy of the closed-form estimator. A geometric interpretation of the bound variance is given and used in examining our simulation results.

Authors: Wilson, R. Scott; Walters, Jeffrey H.; Abel, Jonathan S.
Affiliations: CCRMA, Stanford University, Stanford, CA ; Universal Audio, Inc., Santa Cruz, CA(See document for exact affiliation information.)
AES Convention: 116 (May 2004) Paper Number: 6038
Publication Date: May 1, 2004
Session Subject: Signal Processing; Audio in Broadcasting

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