Estimating bearing when the source is endfire to an array

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Acoustical Society of America


Consider the problem of estimating the direction of arrival of a plane wave using a linear array of length L with M sensors. Let 0 denote the direction with respect to the array axis. Assume that we know that 0 >0. The sign of 0 is ambiguous, given data from a linear array. The approximations to the rms errors of the maximum likelihood 1-a and the least-squares 4 estimators of 0 are proportional to I sin0 1 'l. The Cramer-Rao bound also has this property. 5 This seems to imply that these estimators have infinite variances as 0-0. This is not the case, as I will now show.



Array processing, Statistical methods, Signal processing, Plane waves


Hinich, M. J. (1979). Estimating bearing when the source is endfire to an array. Journal of the Acoustical Society of America, 65(3), 845-846. doi: 10.1121/1.382508