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Source Localization and Tracking: A Sparsity-Exploiting Maximum a Posteriori Based Approach

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Blind Source Separation

Part of the book series: Signals and Communication Technology ((SCT))

Abstract

In this work, we explore the potential of sparse recovery algorithms for localization and tracking the direction-of-arrivals (DOA) of multiple targets using a limited number of noisy time samples collected from a small number of sensors. In target tracking problems, the targets are assumed to be moving with a small random angular acceleration. We show that the target tracking problem can be posed as a problem of recursively reconstructing a sequence of sparse signals where the support of the signals changing slowly with time. Here, one can use the support of last signal as a priori information to estimate the behavior of current signal. In particular, we propose a maximum a posteriori (MAP)-based approach to deal with the sparse recovery problem arising in tracking and detection of DOAs. We consider both narrowband and broadband scenarios. Numerical simulations demonstrate the effectiveness of the proposed algorithm. We found that the proposed algorithm can resolve and track closely spaced DOAs with a small number of sensors.

Research is supported by the Australian Research Council.

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Notes

  1. 1.

    In the real DOA estimation problem, \(E \ne 0\) and \(X,Y\) are complex valued. We deal with these issues in the next section.

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Authors and Affiliations

  1. The University of Newcastle, Callaghan, NSW, 2308, Australia

    Md Mashud Hyder & Kaushik Mahata

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  1. Md Mashud Hyder
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  2. Kaushik Mahata
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Correspondence to Md Mashud Hyder .

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Editors and Affiliations

  1. University of Technology, Sydney, Sydney, Australia

    Ganesh R. Naik

  2. University of Surrey, Guildford, United Kingdom

    Wenwu Wang

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Hyder, M.M., Mahata, K. (2014). Source Localization and Tracking: A Sparsity-Exploiting Maximum a Posteriori Based Approach. In: Naik, G., Wang, W. (eds) Blind Source Separation. Signals and Communication Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55016-4_9

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  • DOI: https://doi.org/10.1007/978-3-642-55016-4_9

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