DOA estimation using virtual array technique for noncirlular signals

In this paper, a modified MUSIC algorithm, namely, VA-MUSIC is presented for the direction-of-arrival (DOA) estimation of noncircular signal sources. By using the conjugate counterpart of the array output, a virtual array is formed to extend the equivalent array aperture, so that it can handle more sources than sensors. Then, based on dividing the virtual array into many subarrays, and composing a new covariance matrix, the new algorithm is capable of estimating both uncorrelated and correlated signals simultaneously. Moreover, the performance of the new DOA algorithm is investigated and compared with the Cramer-Rao bound (CRB). Finally, computer simulation results are given to demonstrate the effectiveness and superiority of the proposed algorithm.

[1]  Thomas Kailath,et al.  Adaptive beamforming for coherent signals and interference , 1985, IEEE Trans. Acoust. Speech Signal Process..

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

[3]  Petre Stoica,et al.  MUSIC, maximum likelihood and Cramer-Rao bound , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[4]  Bernard C. Picinbono,et al.  On circularity , 1994, IEEE Trans. Signal Process..

[5]  Bernard C. Picinbono,et al.  Second-order complex random vectors and normal distributions , 1996, IEEE Trans. Signal Process..

[6]  Yide Wang,et al.  A root-MUSIC algorithm for non circular sources , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[7]  H.M. Kwon,et al.  Conjugate ESPRIT (C-SPRIT) , 2003, IEEE Military Communications Conference, 2003. MILCOM 2003..

[8]  Florian Roemer,et al.  Enhancements of unitary ESPRIT for non-circular sources , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[9]  Nizar Tayem,et al.  Conjugate Music for Non-Circular Sources , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[10]  N. Tayem,et al.  Angle of Arrival Estimation for Non-Circular Signals , 2006, 2006 IEEE Sarnoff Symposium.

[11]  Wang Fuli Virtual Spatial Smoothing Algorithm , 2007 .

[12]  Jian-Feng Gu,et al.  Estimation of 2-D DOA for Noncircular Sources Using Simultaneous SVD Technique , 2008, IEEE Antennas and Wireless Propagation Letters.

[13]  Liu Zhiwen Modified Virtual Spatial Smoothing Algorithm , 2009 .

[14]  Visa Koivunen,et al.  Essential Statistics and Tools for Complex Random Variables , 2010, IEEE Transactions on Signal Processing.

[15]  Sofiène Affes,et al.  DOA Estimation of Temporally and Spatially Correlated Narrowband Noncircular Sources in Spatially Correlated White Noise , 2011, IEEE Transactions on Signal Processing.

[16]  Wentao Shi,et al.  A Beamspace DOA Estimation Algorithm for Non-circular Signals , 2011 .

[17]  Tülay Adali,et al.  On Testing the Extent of Noncircularity , 2011, IEEE Transactions on Signal Processing.