The Journal of the Acoustical Society of Korea (한국음향학회지)

The Acoustical Society of Korea (한국음향학회)
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Decoupled Location Parameter Estimation of 3-D Near-Field Sources in a Uniform Circular Array using the Rank Reduction Algorithm

  • Received : 2011.01.12
  • Accepted : 2011.03.16
  • Published : 2011.04.30
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Abstract

An algorithm is presented for estimating the 3-D location (i.e., azimuth angle, elevation angle, and range) of multiple sources with a uniform circular array (UCA) consisting of an even number of sensors. Recently the rank reduction (RARE) algorithm for partly-calibrated sensor arrays was developed. This algorithm is applicable to sensor arrays consisting of several identically oriented and calibrated linear subarrays. Assuming that a UCA consists of M sensors, it can be divided into M/2 identical linear subarrays composed of two facing sensors. Based on the structure of the subarrays, the steering vectors are decomposed into two parts: range-independent 2-D direction-of-arrival (DOA) parameters, and range-relevant 3-D location parameters. Using this property we can estimate range-independent 2-D DOAs by using the RARE algorithm. Once the 2-D DOAs are available, range estimation can be obtained for each source by defining the 1-D MUSIC spectrum. Despite its low computational complexity, the proposed algorithm can provide an estimation performance almost comparable to that of the 3-D MUSIC benchmark estimator.

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References

  1. A. Y. J. CHAN and j. LITVA, "MUSIC and maximum likelihood techniques on two-dimensional DOA estimation with uniform circular array," IEE Proc., Radar Sonar Navig., vol. 142, no. 3, pp. 105-114., Jun. 1995. https://doi.org/10.1049/ip-rsn:19951756
  2. Y. Wu and H. C. So, "Simple and accurate two-dimensional angle estimation for a single source with uniform circular array," IEEE Antennas Wireless Propag. Lett., vol. 7, pp. 78-80, 2008. https://doi.org/10.1109/LAWP.2008.916687
  3. J. H. Lee, D. H. Park, G. T. Park, and K. K. Lee, "Algebraic path-following algorithm for localizing 3-D near-field sources in uniform circular array," Electron. Lett., vol. 39, no. 17, pp. 1283-1285, Aug. 2003. https://doi.org/10.1049/el:20030819
  4. E. H. Bae and K. K. Lee, "Closed-form 3-D localization for single source in uniform circular array with a center sensor," IEICE Trans. Commun., vol. E92-B, no. 3, pp. 1053-1056, Mar. 2009. https://doi.org/10.1587/transcom.E92.B.1053
  5. M. Pesavento, A. B. Gershman, and K. M. Wong, "Direction finding in partly-calibrated sensor arrays composed of multiple subarrays," IEEE Trans. on Signal Proc., vol. 50, no. 9, pp. 2103-2115, Sep. 2002. https://doi.org/10.1109/TSP.2002.801929
  6. R. O. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag., vol. 34, no. 3, pp. 276-280, May 1986. https://doi.org/10.1109/TAP.1986.1143830
  7. Z. Ye, L. Xiang, and X. Xu, "DOA estimation with circular array via spatial averaging algorithm," IEEE Antennas Wireless Propag. Lett., vol. 6, pp. 74-76, 2007.