Real-valued DOA estimation for uniform linear array with unknown mutual coupling

In this paper, we propose a real-valued direction-of-arrival (DOA) estimation method for uniform linear arrays (ULAs) in the presence of unknown mutual coupling. By taking advantage of the special structure of the mutual coupling matrix for ULAs, the effect of mutual coupling is eliminated by the inherent mechanism of the proposed method. Moreover, the computational complexity is reduced by a factor of at least four after further performing a unitary transformation capable of converting a complex covariance matrix into a real one. We also investigate the performance loss due to the imperfect structure of the mutual coupling matrix under the NEC-2 code. Experimental results with respect to the NEC-2 code illustrate that our new method even outperforms a state-of-the-art method in the literature.

[1]  Dmitry M. Malioutov,et al.  A sparse signal reconstruction perspective for source localization with sensor arrays , 2005, IEEE Transactions on Signal Processing.

[2]  Jinhwan Koh,et al.  Utilization of a unitary transform for efficient computation in the matrix pencil method to find the direction of arrival , 2006, IEEE Transactions on Antennas and Propagation.

[3]  I. Gupta,et al.  Effect of mutual coupling on the performance of adaptive arrays , 1983 .

[4]  M. Leong,et al.  Decoupled 2D Direction of Arrival Estimation Using Compact Uniform Circular Arrays in the Presence of Elevation-Dependent Mutual Coupling , 2010, IEEE Transactions on Antennas and Propagation.

[5]  Zhongfu Ye,et al.  On the Resiliency of MUSIC Direction Finding Against Antenna Sensor Coupling , 2008, IEEE Transactions on Antennas and Propagation.

[6]  Shunjun Wu,et al.  Fast OMP algorithm for 2D angle estimation in MIMO radar , 2010 .

[7]  Anthony J. Weiss,et al.  Direction finding in the presence of mutual coupling , 1991 .

[8]  Hon Tat Hui,et al.  Improved DOA Estimations Using the Receiving Mutual Impedances for Mutual Coupling Compensation: An Experimental Study , 2011, IEEE Transactions on Wireless Communications.

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

[10]  H. Hui Improved compensation for the mutual coupling effect in a dipole array for direction finding , 2003 .

[11]  Hui A new definition of mutual impedance for application in dipole receiving antenna arrays , 2004, IEEE Antennas and Wireless Propagation Letters.

[12]  Chao Liu,et al.  An efficient DOA estimation method in multipath environment , 2010, Signal Process..

[13]  Audra E. Kosh,et al.  Linear Algebra and its Applications , 1992 .

[14]  B. Friedlander,et al.  DOA and steering vector estimation using a partially calibrated array , 1996, IEEE Transactions on Aerospace and Electronic Systems.

[15]  Dinh Van Huynh,et al.  Algebra and Its Applications , 2006 .

[16]  B. C. Ng,et al.  Sensor-array calibration using a maximum-likelihood approach , 1996 .

[17]  Mashud Hyder,et al.  Direction-of-Arrival Estimation Using a Mixed � , 2010 .

[18]  H. Tsuji,et al.  Autocalibration Algorithm for Robust Capon Beamforming , 2006, IEEE Antennas and Wireless Propagation Letters.

[19]  Hon Tat Hui A practical approach to compensate for the mutual coupling effect in an adaptive dipole array , 2004, IEEE Transactions on Antennas and Propagation.

[20]  Hon Tat Hui,et al.  A practical approach to compensate for the mutual coupling effect in an adaptive dipole array , 2004 .

[21]  Jisheng Dai,et al.  Spatial smoothing for direction of arrival estimation of coherent signals in the presence of unknown mutual coupling , 2011 .

[22]  Chien-Chung Yeh,et al.  A unitary transformation method for angle-of-arrival estimation , 1991, IEEE Trans. Signal Process..

[23]  Fabrizio Sellone,et al.  A Novel Online Mutual Coupling Compensation Algorithm for Uniform and Linear Arrays , 2007, IEEE Transactions on Signal Processing.

[24]  Z. Ye,et al.  Non-sensitive adaptive beamforming against mutual coupling , 2009 .

[25]  C.C. Ko,et al.  DOA estimation under unknown mutual coupling and multipath , 2005, IEEE Transactions on Aerospace and Electronic Systems.

[26]  Yantao Yu,et al.  Design of a Mutual Coupling Compensation Network for a Small Receiving Monopole Array , 2011, IEEE Transactions on Microwave Theory and Techniques.

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

[28]  E. Friel,et al.  Mutual coupling effects and their reduction in wideband direction of arrival estimation , 1994 .

[29]  Hao Ling,et al.  Simulation of mutual coupling effect in circular arrays for direction‐finding applications , 2000 .

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

[31]  A. Ludwig Mutual coupling, gain and directivity of an array of two identical antennas , 1976 .

[32]  P. Baccarelli IEEE Antennas and Wireless Propagation Letters , 2018, IEEE Antennas and Wireless Propagation Letters.

[33]  Zhigang Liu,et al.  Conjugate unitary ESPRIT for real sources adapted to the coherent case , 2009, Signal Process..

[34]  Yiyu Zhou,et al.  DOA estimation with uniform linear arrays in the presence of mutual coupling via blind calibration , 2009, Signal Process..

[35]  Zhongfu Ye,et al.  DOA Estimation for Uniform Linear Array with Mutual Coupling , 2009, IEEE Transactions on Aerospace and Electronic Systems.