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Sensors 2014, 14(11), 21258-21280; doi:10.3390/s141121258

The Influence of Random Element Displacement on DOA Estimates Obtained with (Khatri–Rao-)Root-MUSIC

1
Department of Industrial Technology and Construction, Ghent University, Valentin Vaerwyckweg 1 ,9000 Gent, Belgium
2
Department of Information Technology, Ghent University, Sint-Pietersnieuwstraat 41, 9000 Gent, Belgium
*
Author to whom correspondence should be addressed.
Received: 5 September 2014 / Revised: 27 October 2014 / Accepted: 27 October 2014 / Published: 11 November 2014
(This article belongs to the Section Sensor Networks)
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Abstract

Although a wide range of direction of arrival (DOA) estimation algorithms has been described for a diverse range of array configurations, no specific stochastic analysis framework has been established to assess the probability density function of the error on DOA estimates due to random errors in the array geometry. Therefore, we propose a stochastic collocation method that relies on a generalized polynomial chaos expansion to connect the statistical distribution of random position errors to the resulting distribution of the DOA estimates. We apply this technique to the conventional root-MUSIC and the Khatri–Rao-root-MUSIC methods. According to Monte-Carlo simulations, this novel approach yields a speedup by a factor of more than 100 in terms of CPU-time for a one-dimensional case and by a factor of 56 for a two-dimensional case. View Full-Text
Keywords: DOA-estimation; Khatri–Rao; steering vector error; stochastic collocation method DOA-estimation; Khatri–Rao; steering vector error; stochastic collocation method
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Inghelbrecht, V.; Verhaevert, J.; van Hecke, T.; Rogier, H. The Influence of Random Element Displacement on DOA Estimates Obtained with (Khatri–Rao-)Root-MUSIC. Sensors 2014, 14, 21258-21280.

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