DOA Estimation of Noncircular Signals for Unfolded Coprime Linear Array: Identifiability, DOF and Algorithm (May 2018)

An ambiguity-free direction of arrival (DOA) estimation method is presented for unfolded coprime linear array (UCLA) in this paper to resolve noncircular signals. Unlike the existing methods which process the two subarrays of coprime linear array separately, we stack the received signals of the two subarrays and derive the total subspace to produce the MUSIC spectrum. Specifically, we demonstrate that the ambiguity problem can be suppressed owing to the coprime property and the true DOA estimates can be obtained immediately. As the self-information and mutual information are jointly employed, the proposed method can achieve the full degrees of freedom (DOFs) and improved DOA estimation performance. Meanwhile, the extended aperture of UCLA can be feasibly exploited, which endows the proposed method with an enhanced identifiability. In addition, the non-circularity is utilized to double the available DOF and further improve the estimation accuracy of the proposed method. Simulation results verify the effectiveness and superiority of the proposed method.

[1]  Jean Pierre Delmas,et al.  MUSIC-like estimation of direction of arrival for noncircular sources , 2006, IEEE Transactions on Signal Processing.

[2]  Jean Pierre Delmas,et al.  Stochastic Crame/spl acute/r-Rao bound for noncircular signals with application to DOA estimation , 2004, IEEE Transactions on Signal Processing.

[3]  Messaoud Benidir,et al.  The propagator method for source bearing estimation , 1995, Signal Process..

[4]  Qihui Wu,et al.  Two-Dimensional Direction-of-Arrival Estimation for Co-Prime Planar Arrays: A Partial Spectral Search Approach , 2016, IEEE Sensors Journal.

[5]  P. P. Vaidyanathan,et al.  Theory of Sparse Coprime Sensing in Multiple Dimensions , 2011, IEEE Transactions on Signal Processing.

[6]  Michael D. Zoltowski,et al.  Closed-form 2-D angle estimation with rectangular arrays in element space or beamspace via unitary ESPRIT , 1996, IEEE Trans. Signal Process..

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

[8]  Florian Roemer,et al.  Performance analysis of ESPRIT-type algorithms for non-circular sources , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[9]  P. P. Vaidyanathan,et al.  Sparse Sensing With Co-Prime Samplers and Arrays , 2011, IEEE Transactions on Signal Processing.

[10]  Hsien-Tsai Wu,et al.  Source number estimators using transformed Gerschgorin radii , 1995, IEEE Trans. Signal Process..

[11]  Feng Wang,et al.  DOA Estimation Based on Real-Valued Cross Correlation Matrix of Coprime Arrays , 2017, Sensors.

[12]  X. Qiao,et al.  Low-Complexity DOA Estimation Based on Compressed MUSIC and Its Performance Analysis , 2013, IEEE Transactions on Signal Processing.

[13]  Zhou Jianjiang,et al.  PM Method for Noncircular Signals , 2013 .

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

[15]  Xiaofei Zhang,et al.  Direction of Departure (DOD) and Direction of Arrival (DOA) Estimation in MIMO Radar with Reduced-Dimension MUSIC , 2010, IEEE Communications Letters.

[16]  Dazhuan Xu,et al.  Angle estimation in MIMO radar using reduced-dimension capon , 2010 .

[17]  Petre Stoica,et al.  Performance study of conditional and unconditional direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[18]  Yide Wang,et al.  Joint DOD-DOA estimation using combined ESPRIT-MUSIC approach in MIMO radar , 2010 .

[19]  Wang Yong-liang,et al.  A robust DOA estimation algorithm for uniform linear array in the presence of mutual coupling , 2003, IEEE Antennas and Propagation Society International Symposium. Digest. Held in conjunction with: USNC/CNC/URSI North American Radio Sci. Meeting (Cat. No.03CH37450).

[20]  Wang Zheng,et al.  DOA Estimation of Noncircular Signals with Combined ESPRIT for Coprime Linear Array , 2017 .

[21]  Xiaofei Zhang,et al.  Direction of Arrival Estimation of Quasi-Stationary Signals Using Unfolded Coprime Array , 2017, IEEE Access.

[22]  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.

[23]  Yiyu Zhou,et al.  Azimuth and elevation estimation for noncircular signals , 2007 .

[24]  Wang Zheng,et al.  DOA Estimation for Coprime Linear Arrays: An Ambiguity-Free Method Involving Full DOFs , 2018, IEEE Communications Letters.

[25]  Yide Wang,et al.  A non-circular sources direction finding method using polynomial rooting , 2001, Signal Process..

[26]  Xuemin Shen,et al.  DECOM: DOA estimation with combined MUSIC for coprime array , 2013, 2013 International Conference on Wireless Communications and Signal Processing.

[27]  Ming Zhou,et al.  Noncircular-PARAFAC for 2D-DOA estimation of noncircular signals in arbitrarily spaced acoustic vector-sensor array subjected to unknown locations , 2013, EURASIP Journal on Advances in Signal Processing.

[28]  Minglei Yang,et al.  Unitary ESPRIT algorithm for bistatic MIMO radar , 2012 .