A Covariance Approximation Method for Near-Field Coherent Sources Localization Using Uniform Linear Array

The covariance approximation (CA) multiple signal classification (MUSIC) is a novel near-field direction-of-arrival (DoA) estimation method for uniform linear array. In this paper, we show that the CA-MUSIC suffers from significant performance degeneration caused by coherent sources. The CA-MUSIC with coherent sources generates the image sources (IS), which cannot be distinguished from the real sources. To solve this problem, we propose a CA-based near-field coherent sources localization algorithm, which is robust to the IS effect. The proposed CA algorithm avoids errors caused by coherence between sources using searching radius restriction and zero-forcing MUSIC. Simulation results shows that the proposed CA algorithm offers superior root mean square error (RMSE) performances for near-field coherent sources.

[1]  A. Winder II. Sonar System Technology , 1975, IEEE Transactions on Sonics and Ultrasonics.

[2]  Mohammed Nabil El Korso,et al.  Conditional and Unconditional Cramér–Rao Bounds for Near-Field Source Localization , 2010, IEEE Transactions on Signal Processing.

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

[4]  Chong Kwan Un,et al.  A Sequential Estimation Approach for Performance Improvement of Eigenstructure-Based Methods in Array Processing , 1993, IEEE Trans. Signal Process..

[5]  Mostafa Kaveh,et al.  The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[6]  Yide Wang,et al.  Near-Field Source Localization by Using Focusing Technique , 2008, EURASIP J. Adv. Signal Process..

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

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

[9]  Bernard D. Steinberg,et al.  Principles of aperture and array system design: Including random and adaptive arrays , 1976 .

[10]  L. J. Ziomek Three necessary conditions for the validity of the Fresnel phase approximation for the near-field beam pattern of an aperture , 1993 .

[11]  J. E. Hudson Adaptive Array Principles , 1981 .

[12]  Ki-Man Kim,et al.  Passive-range estimation using dual focused beamformers , 2002 .

[13]  Guillaume Bouleux,et al.  Sequential estimation of the range and the bearing using the Zero-Forcing Music approach , 2009, 2009 17th European Signal Processing Conference.

[14]  Li Ming,et al.  Radiated noise sources location based on MVDR near-field focused beamforming , 2008, 2008 3rd IEEE Conference on Industrial Electronics and Applications.

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

[17]  S. Unnikrishna Pillai,et al.  Forward/backward spatial smoothing techniques for coherent signal identification , 1989, IEEE Trans. Acoust. Speech Signal Process..

[18]  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.

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