Near-field coherent source localization by planar array design

This paper is concerned with near-field source localization for scenarios where coherent narrowband sources exist. In this paper, we propose a new method in which we design a general planar array with a covariance matrix whose rank is not decreased by the coherence between sources. Moreover, conditions for the sensor locations in the designed planar array are derived to reach maximum effective array aperture. The proposed method uses second order statistics and features a separable range-bearing search to reduce the computational complexity. This method localizes near-field sources with a number of one-dimensional searches in two steps. In the first step, ranges of sources is estimated using one 1D search and in the second step, the bearing of each signal source is estimated using the corresponding range estimated in the first step. Simulation results show that the performance of the proposed method is comparable with the Cramer–Rao bound.

[1]  Bo-sheng Liu,et al.  DOA estimation for the near-field correlated sources with interpolated array technique , 2009, 2009 4th IEEE Conference on Industrial Electronics and Applications.

[2]  Thomas Kailath,et al.  On spatial smoothing for direction-of-arrival estimation of coherent signals , 1985, IEEE Trans. Acoust. Speech Signal Process..

[3]  M. Omair Ahmad,et al.  Efficient Application of MUSIC Algorithm Under the Coexistence of Far-Field and Near-Field Sources , 2012, IEEE Transactions on Signal Processing.

[4]  Ju-Hong Lee,et al.  Estimating the bearings of near-field cyclostationary signals , 2002, IEEE Trans. Signal Process..

[5]  Hoondong Noh,et al.  A Covariance Approximation Method for Near-Field Coherent Sources Localization Using Uniform Linear Array , 2015, IEEE Journal of Oceanic Engineering.

[6]  M. Barkat,et al.  Near-field multiple source localization by passive sensor array , 1991 .

[7]  M. Viberg,et al.  Two decades of array signal processing research: the parametric approach , 1996, IEEE Signal Process. Mag..

[8]  Shing-Chow Chan,et al.  DOA estimation of coherent signals for uniform linear arrays with mutual coupling , 2011, 2011 IEEE International Symposium of Circuits and Systems (ISCAS).

[9]  Yang-Ho Choi.  ESPRIT-Based Coherent Source Localization With Forward and Backward Vectors , 2010, IEEE Transactions on Signal Processing.

[10]  Yan-chao Li,et al.  Mixed Near-Field and Far-Field Sources Localization Using the Uniform Linear Sensor Array , 2013, IEEE Sensors Journal.

[11]  Ding Liu,et al.  Passive Localization of Mixed Near-Field and Far-Field Sources Using Two-stage MUSIC Algorithm , 2010, IEEE Transactions on Signal Processing.

[12]  A. Ferreol,et al.  High-Resolution Direction Finding From Higher Order Statistics: The$2rm q$-MUSIC Algorithm , 2006, IEEE Transactions on Signal Processing.

[13]  Michael Yan Wah Chia,et al.  Near-Field Source Localization via Symmetric Subarrays , 2007, IEEE Signal Processing Letters.

[14]  P. Stoica,et al.  The stochastic CRB for array processing: a textbook derivation , 2001, IEEE Signal Processing Letters.

[15]  S. Shamsunder,et al.  Improved bearing and range estimation via high-order subspace based Unitary ESPRIT , 1996, Conference Record of The Thirtieth Asilomar Conference on Signals, Systems and Computers.

[16]  S. Shamsunder,et al.  High-order subspace-based algorithms for passive localization of near-field sources , 1995, Conference Record of The Twenty-Ninth Asilomar Conference on Signals, Systems and Computers.

[17]  Yang Wang,et al.  Multiple near-field source localisation with uniform circular array , 2013 .

[18]  Hsien-Sen Hung,et al.  3-D MUSIC with polynomial rooting for near-field source localization , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[19]  Anne Ferréol,et al.  On the asymptotic performance analysis of subspace DOA estimation in the presence of modeling errors: case of MUSIC , 2006, IEEE Transactions on Signal Processing.

[20]  Surendra Prasad,et al.  An improved spatial smoothing technique for bearing estimation in a multipath environment , 1988, IEEE Trans. Acoust. Speech Signal Process..

[21]  A. G. Jaffer,et al.  Maximum likelihood direction finding of stochastic sources: a separable solution , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[22]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[23]  Chong-Yung Chi,et al.  DOA Estimation of Quasi-Stationary Signals With Less Sensors Than Sources and Unknown Spatial Noise Covariance: A Khatri–Rao Subspace Approach , 2010, IEEE Transactions on Signal Processing.

[24]  Yang-Ho Choi,et al.  On conditions for the rank restoration in forward/backward spatial smoothing , 2002, IEEE Trans. Signal Process..

[25]  Ju-Hong Lee,et al.  A covariance approximation method for near-field direction-finding using a uniform linear array , 1995, IEEE Trans. Signal Process..

[26]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[27]  Nanyan Y. Wang,et al.  A new DOA estimation technique based on subarray beamforming , 2006, IEEE Transactions on Signal Processing.

[28]  Y. Hua,et al.  A weighted linear prediction method for near-field source localization , 2002, IEEE Transactions on Signal Processing.

[29]  Xianda Zhang,et al.  An ESPRIT-like algorithm for coherent DOA estimation , 2005 .