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  • Research Article
  • Open Access

4D Near-Field Source Localization Using Cumulant

EURASIP Journal on Advances in Signal Processing20072007:017820

  • Received: 20 September 2006
  • Accepted: 24 March 2007
  • Published:


This paper proposes a new cumulant-based algorithm to jointly estimate four-dimensional (4D) source parameters of multiple near-field narrowband sources. Firstly, this approach proposes a new cross-array, and constructs five high-dimensional Toeplitz matrices using the fourth-order cumulants of some properly chosen sensor outputs; secondly, it forms a parallel factor (PARAFAC) model in the cumulant domain using these matrices, and analyzes the unique low-rank decomposition of this model; thirdly, it jointly estimates the frequency, two-dimensional (2D) directions-of-arrival (DOAs), and range of each near-field source from the matrices via the low-rank three-way array (TWA) decomposition. In comparison with some available methods, the proposed algorithm, which efficiently makes use of the array aperture, can localize sources using sensors. In addition, it requires neither pairing parameters nor multidimensional search. Simulation results are presented to validate the performance of the proposed method.


  • Information Technology
  • Quantum Information
  • Source Localization
  • Source Parameter
  • Sensor Output

Authors’ Affiliations

Institute of Acoustics, Chinese Academy of Sciences, Beijing, 100080, China
Graduate School of Chinese Academy of Sciences, Beijing, 100039, China
National Laboratory of Radar Signal Processing, Xidian University, Xi'an, 710071, China
School of Computer Science and Engineering, Xidian University, Xi'an, 710071, China


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© Junli Liang et al. 2007

This article is published under license to BioMed Central Ltd. 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.