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Reversible Jump Particle Filter (RJPF) for Wideband DOA Tracking

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Excursions in Harmonic Analysis, Volume 3

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

We extend the maximum likelihood method for wideband direction of arrival (DOA) estimation to the case of an unknown number of moving sources. The extension is nontrivial because closed-form expressions for the conditional signal covariance matrices are no longer available. We propose a reversible jump particle filter (RJPF) based estimation of the source angles, which has been successfully used in narrowband DOA estimation of moving sources. We discuss added difficulties in DOA estimation compared to frequency retrieval problems. These difficulties are addressed by appropriate modifications of the underlying stochastic model. Finally, we show how an estimator of the number of sources and their positions can be constructed from a discrete representation of their posterior probabilities as provided by the particle filter.

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Author information

Authors and Affiliations

  1. Fachgebiet Methoden der Signalverarbeitung, Technische Universität München, 80290, Munich, Germany

    Thomas Wiese

  2. Siemens Corporation, Corporate Technology, 08540, Princeton, NJ, USA

    Justinian Rosca & Heiko Claussen

Authors
  1. Thomas Wiese
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  2. Justinian Rosca
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  3. Heiko Claussen
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Corresponding author

Correspondence to Thomas Wiese .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Maryland, Norbert Wiener Center, College Park, Maryland, USA

    Radu Balan

  2. Department of Mathematics, University of Maryland, Norbert Wiener Center, College Park, Maryland, USA

    Matthew J. Begué

  3. Department of Mathematics, University of Maryland, Norbert Wiener Center, College Park, Maryland, USA

    John J. Benedetto

  4. Department of Mathematics, University of Maryland, Norbert Weiner Center, College Park, Maryland, USA

    Wojciech Czaja

  5. Department of Mathematics, University of Maryland, Norbert Wiener Center, College Park, Maryland, USA

    Kasso A. Okoudjou

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Wiese, T., Rosca, J., Claussen, H. (2015). Reversible Jump Particle Filter (RJPF) for Wideband DOA Tracking. In: Balan, R., Begué, M., Benedetto, J., Czaja, W., Okoudjou, K. (eds) Excursions in Harmonic Analysis, Volume 3. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-13230-3_11

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