The use of phase difference trace functions for bearing estimation with small circular arrays

A geometric interpretation of the space-time data from an array of elements called the "trace function" by the authors is used to form an estimate of the bearing of a plane wave sinusoidal signal impinging upon a circular array of small diameter compared to a wavelength. A minimum mean-squ...

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Veröffentlicht in:IEEE transactions on acoustics, speech, and signal processing speech, and signal processing, 1981-06, Vol.29 (3), p.501-507
Hauptverfasser: Sackman, G., Shelef, S.
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description A geometric interpretation of the space-time data from an array of elements called the "trace function" by the authors is used to form an estimate of the bearing of a plane wave sinusoidal signal impinging upon a circular array of small diameter compared to a wavelength. A minimum mean-square error (MMSE) bearing estimator is derived using phase differences between pairs of elements. An estimator is also derived for wave propagation speed. The processor was simulated on a digital computer and the standard deviation of bearing error as a function of variance of phase difference and diameter of array is compared to the Cramér-Rao lower bound.
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subjects Acoustic propagation
Array signal processing
Computational modeling
Computer errors
Computer simulation
Delay estimation
Direction of arrival estimation
Phase estimation
Phased arrays
Sensor arrays
title The use of phase difference trace functions for bearing estimation with small circular arrays
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