Mutual coupling effect and compensation in non-uniform arrays for direction-of-arrival estimation

In this paper, we investigate the effect of mutual coupling on direction-of-arrival (DOA) estimation using non-uniform arrays. We compare and contrast the DOA estimation accuracy in the presence of mutual coupling for three different non-uniform array geometries, namely, minimum redundancy arrays (MRAs), nested arrays, and co-prime arrays, and for two antenna types, namely dipole antennas and microstrip antennas. We demonstrate through numerical simulations that the mutual coupling, if unaccounted for, can, in general, lead to performance degradation, with the MRA faring better against mutual coupling than the other two non-uniform structures for both antenna types. We also propose two methods that can compensate for the detrimental effects of mutual coupling, leading to accurate and reliable DOA estimation. Supporting numerical simulation results are provided which show the effectiveness of the proposed compensation methods.

[1]  David B. Fogel,et al.  CONTINUOUS EVOLUTIONARY PROGRAMMING: ANALYSIS AND EXPERIMENTS , 1995 .

[2]  C. Yeh,et al.  Bearing estimations with mutual coupling present , 1989 .

[3]  Hema Singh,et al.  Mutual Coupling in Phased Arrays: A Review , 2013 .

[4]  N. Hansen A CMA-ES for Mixed-Integer Nonlinear Optimization , 2011 .

[5]  Y. Ogawa,et al.  Mutual impedance of receiving array and calibration matrix for high-resolution DOA estimation , 2005, IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, 2005..

[6]  Moeness G. Amin,et al.  Multi-Frequency Co-Prime Arrays for High-Resolution Direction-of-Arrival Estimation , 2015, IEEE Transactions on Signal Processing.

[7]  Y. Bar-Ness,et al.  A new approach to array geometry for improved spatial spectrum estimation , 1985, Proceedings of the IEEE.

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

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

[10]  G.S. Bloom,et al.  Applications of numbered undirected graphs , 1977, Proceedings of the IEEE.

[11]  Harry L. Van Trees,et al.  Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory , 2002 .

[12]  Hans-Paul Schwefel,et al.  Evolution and optimum seeking , 1995, Sixth-generation computer technology series.

[13]  Douglas A. Gray,et al.  Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays. II. Partially augmentable arrays , 1998, IEEE Trans. Signal Process..

[14]  F. Haber,et al.  A new approach to array geometry for improved spatial spectrum estimation , 1985, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[15]  Arye Nehorai,et al.  Sparse Direction of Arrival Estimation Using Co-Prime Arrays with Off-Grid Targets , 2014, IEEE Signal Processing Letters.

[16]  Hans-Paul Schwefel,et al.  Evolution and Optimum Seeking: The Sixth Generation , 1993 .

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

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

[19]  John R. Buck,et al.  Beamforming with extended co-prime sensor arrays , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[20]  A. Hoorfar,et al.  Electromagnetic Optimization Using Mixed-Parameter and Multiobjective Covariance Matrix Adaptation Evolution Strategy , 2015, IEEE Transactions on Antennas and Propagation.

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

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

[23]  Moeness G. Amin,et al.  DOA estimation with co-prime arrays in the presence of mutual coupling , 2015, 2015 23rd European Signal Processing Conference (EUSIPCO).

[24]  Dean Zhao,et al.  A Sparse Representation Method for DOA Estimation With Unknown Mutual Coupling , 2012, IEEE Antennas and Wireless Propagation Letters.

[25]  T. Sarkar,et al.  Compensation for the effects of mutual coupling on direct data domain adaptive algorithms , 2000 .

[26]  T. Engin Tuncer,et al.  Classical and Modern Direction-of-Arrival Estimation , 2009 .

[27]  Sathish Chandran,et al.  Advances in Direction-of-Arrival Estimation , 2005 .

[28]  P. P. Vaidyanathan,et al.  Nested Arrays: A Novel Approach to Array Processing With Enhanced Degrees of Freedom , 2010, IEEE Transactions on Signal Processing.

[29]  Constantine A. Balanis,et al.  Antenna Theory: Analysis and Design , 1982 .

[30]  Nikolaus Hansen,et al.  Completely Derandomized Self-Adaptation in Evolution Strategies , 2001, Evolutionary Computation.

[31]  Hoi-Shun Lui,et al.  Effective Mutual Coupling Compensation for Direction-of-Arrival Estimations using a New, Accurate Determination Method for the Receiving Mutual Impedance , 2010 .

[32]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[33]  R. T. Hoctor,et al.  The unifying role of the coarray in aperture synthesis for coherent and incoherent imaging , 1990, Proc. IEEE.

[34]  A. Moffet Minimum-redundancy linear arrays , 1968 .

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

[36]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

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

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

[39]  P. Vaidyanathan,et al.  Coprime sampling and the music algorithm , 2011, 2011 Digital Signal Processing and Signal Processing Education Meeting (DSP/SPE).

[40]  Dean Zhao,et al.  DOA estimation and self-calibration algorithm for nonuniform linear array , 2010, 2010 International Symposium on Intelligent Signal Processing and Communication Systems.

[41]  R. Tibshirani,et al.  Regression shrinkage and selection via the lasso: a retrospective , 2011 .