Decoupled 2D Direction of Arrival Estimation Using Compact Uniform Circular Arrays in the Presence of Elevation-Dependent Mutual Coupling

Based on the rank reduction theory (RARE), a decoupled method for 2D direction of arrival (DOA) estimation in the presence of elevation-dependent mutual coupling is proposed for compact uniform circular arrays (UCAs). Using a new formulation of the beamspace array manifold in the presence of mutual coupling, the azimuth estimates are decoupled from the elevation estimates and obtained with no need for the exact knowledge of mutual coupling. For the elevation estimation, a 1D parameter search in the elevation space for every azimuth estimate is performed with the elevation-dependent mutual coupling effect compensated efficiently. Though the computational load for the elevation estimation is increased compared to that of the original UCA-RARE algorithm, the 1D parameter search in our method overcomes most of the inherent shortcomings of the UCA-RARE algorithm. This enables unambiguous and paired 2D DOA estimation with the elevation-dependent mutual coupling effect being compensated for effectively. Numerical examples are presented to demonstrate the effectiveness of the proposed method.

[1]  I. Longstaff,et al.  Directional properties of circular arrays , 1967 .

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

[3]  E. Jordan,et al.  Electromagnetic Waves and Radiating Systems , 1951 .

[4]  H.T. Hui,et al.  Compensation for the mutual coupling effect in uniform circular arrays for 2D DOA estimations employing the maximum likelihood technique , 2008, IEEE Transactions on Aerospace and Electronic Systems.

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

[6]  H. Steyskal,et al.  Mutual coupling compensation in small array antennas , 1990 .

[7]  Petre Stoica,et al.  Maximum likelihood methods for direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

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

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

[10]  T. Sarkar,et al.  Minimum norm mutual coupling compensation with applications in direction of arrival estimation , 2004, IEEE Transactions on Antennas and Propagation.

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

[12]  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.

[13]  Stuart Crozier,et al.  A New Decoupling Method for Quadrature Coils in Magnetic Resonance Imaging , 2006, IEEE Transactions on Biomedical Engineering.

[14]  J.F. Bohme,et al.  Direction of arrival estimation in uniform circular arrays composed of directional elements , 2002, Sensor Array and Multichannel Signal Processing Workshop Proceedings, 2002.

[15]  Björn E. Ottersten,et al.  Detection and estimation in sensor arrays using weighted subspace fitting , 1991, IEEE Trans. Signal Process..

[16]  Michael A. Jensen,et al.  Mutual coupling in MIMO wireless systems: a rigorous network theory analysis , 2004, IEEE Transactions on Wireless Communications.

[17]  H. Rogier,et al.  A Hybrid UCA-RARE/Root-MUSIC Approach for 2-D Direction of Arrival Estimation in Uniform Circular Arrays in the Presence of Mutual Coupling , 2007, IEEE Transactions on Antennas and Propagation.

[18]  Hendrik Rogier,et al.  UCA Root-MUSIC With Sparse Uniform Circular Arrays , 2008, IEEE Transactions on Signal Processing.

[19]  Michael D. Zoltowski,et al.  Eigenstructure techniques for 2-D angle estimation with uniform circular arrays , 1994, IEEE Trans. Signal Process..