Non-coherent Direction of Arrival Estimation via Frequency Estimation

Document Type : Original Article

Author

دانشگاه صنعتی قم

Abstract

In non-coherent Direction Of Arrival (DOA) estimation, the goal is to determine DOA based only on the magnitude of the received sensor array signal. The advantage of the non-coherent DOA estimation is its robustness against phase errors; despite phase errors present in both sensors and phase shifters, direction of arrival can be estimated. In this paper, DOA is estimated using a frequency estimation technique which can be simply implemented by discrete Fast Fourier Transform (FFT) methods. In addition, for removing the ambiguity and solving the nonlinear equations, a reference target with high power emission is used. Simulation results, in both linear and plane array cases show the efficiency and robustness of the proposed algorithm against phase errors.

Keywords


[1] M.Greco, F. Gini, A. Farina, and L. Timmoneri, “Direction-of-arrival estimation in radar systems: moving window against approximate maximum likelihood estimator,” IET Radar, Sonar Navigation, vol. 3, no. 5, pp. 552-557, 2009.
[2] J. Thompson, P. Grant, B. Mulgrew, and R. Rajagopal, “Generalized algorithm for DOA estimation in a passive sonar,” IEE Proceedings F, Radar and Signal Processing, vol. 140, no. 5, pp. 339-340, 1993.
[3] L. Godara, “Application of antenna arrays to mobile communications. ii. Beam-forming and direction-of-arrival considerations,” Proceedings of the IEEE, vol. 85, no. 8, pp. 1195-1245, 1997.
[4] D. H. Johnson and D. E. Dudgeon, “Array signal processing: Concepts and Techniques,” 1992.
[5] J. Capon, “High-resolution frequency-wavenumber spectrum analysis,” Proceedings of the IEEE, vol. 57, no. 8, pp. 1408-1418, 1969.
[6] R. Schmidt, “Multiple emitter location and signal parameter estimation,” IEEE Trans. Antennas and Propagation, vol. 34, no. 3, pp. 276-280, 1986.
[7] R. Richard and T. Kailath, “ESPIRIT-estimation of signal parameters via rotational invariance techniques,” IEEE Trans. Acoustic, Speech, Signal Processing, vol. 37, no. 3, pp. 984-995, 1989.
[8] D. Malioutov, M. Cetin, and A. Willsky, “A sparse signal reconstruction perspective for source localization with sensor arrays,” IEEE Trans. Signal Processing, vol. 53, no. 8, pp. 3010-3022, 2005.
[9] J. Zheng and M. Kaveh, “Sparse spatial spectral estimation: A covariance fitting algorithm, performance and regularization,” IEEE Trans. Signal Processing, vol. 61, no. 11, pp. 2767-2777, 2013.
[10] A. Gurbuz, V. Cevher, and J. McClellan, “Bearing estimation via spatial sparsity using compressive sensing,” IEEE Trans. Aerospace and Electronic Systems, vol. 48, no. 2, pp. 1358-1369, 2012.
[11] M. Rossi, A. Haimovich, and Y. C. Eldar, “Spatial compressive sensing for MIMO radar,” IEEE Trans. Signal Processing, vol. 62, no. 2, pp. 419-430, 2014.
[12] R. Fan, Q. Wan, F. Wen, H. Wang, and Y. Liu, “Direction-of-arrival estimation based on magnitude-only samples with partly calibrated sensors array,” International Journal of Electronics Letters, published online, pp. 18-23, 2013.
[13] H. Kim, A. M. Haimovich, and Y. C. Eldar, “Non-coherent direction of arrival estimation from magnitude-only measurements,” IEEE Signal Processing Letters, vol. 22, no. 7, pp. 925-929, 2015.
[14] Y. Shechtman, A. Beck, and Y. C.Eldar, “GESPAR: Efficient phase retrieval of sparse signals,” IEEE Trans. Signal Processing, vol. 62, no. 4, pp. 928-938, 2014.
[15] W. Jiang and A. M Haimovich, “Cramer-Rao bound and approximate maximum likelihood estimation for non-coherent direction of arrival problem,” In Proc. of 2016 Annual Conference on Information Science and Systems (CISS), pp. 506-510, 2016.
[16] C. C. Yeh, J. H. Lee, and Y. M Chen, “Estimating two-dimensional angles of arrival in coherent source environment,” IEEE Trans. Acoustic. Speech Signal Processing, vol. 37, no. 1, pp. 153-155, 1989.
[17] Gu, J. F., Wei, P.., Tai, H. M., “2-D direction-of-arrival estimation of coherent signals using cross-correlation matrix” ,Signal Processing, Vol.88, No. 1, pp.75-85, 2008.
[18] F. J. Chen, S. Kwong, and C. W Kok, “ESPIRIT-like two-dimensional DOA estimation for coherent signals,” IEEE Trans. Aerosp. Electron. Syst., vol. 46, no. 3, pp. 1477-155, 1484.
[19] P. Heidenreiche, A. M. Zoubir, and M. Rubsamen, “Joint 2-D DOA estimation and phase calibration for uniform rectangular array,” IEEE Trans. Signal Processing, vol. 60, no. 9, pp. 4683-4693, 2012.
[20] X. Xu and Z. Ye, “Two-dimensional direction of arrival estimation by exploiting the symmetric configuration of uniform rectangular array,” IET Radar Sonar Navig, vol. 6, no. 5, pp. 307-313, 2012.
[21] F. F. Shen, Y. M. Liu, G. H. Zhao, X. Y. Chen, and X. P. Li, “Sparsity-based Off-grid DOA estimation with uniform rectangular array,” IEEE Sensors Journal, vol. 18, no. 8, pp. 3384-3390, 2018.
[22] M. Omer, N. Tayem, and A. A. Hossain, “Two Uniform linear arrays for Non-coherent and coherent sources for two dimensional source localization,” Progress in Electromagnetics Research Letters, vol. 47, pp. 31-39, 2014.
[23] H. Tao, J. Xin, J. Wang, N. Zheng, and A. Sano, “Two-dimensional direction estimation for a mixture of noncoherent and coherent signals,” IEEE Trans. Signal Processing, vol. 63, no. 2, pp. 318-333, 2015f.
[24] R. Jagannath and K. Hari, “Block sparse estimator for grid matching in single snapshot doa estimation,” IEEE Signal Processing Letters, vol. 20, no. 11, pp. 1038-1041, 2013.
[25] Y. Chen and E. Candes, “The Projected power method: an efficient algorithm for joint alignment from pairwise differences,” Submitted to Arxiv, 2016.
[26] J. D. Kraus, “The corner-reflector antenna,” Proceeding of IRE, vol. 28, no. 11, pp. 513-519, Nov. 1940.
[27] M. I. Skolnik, “Introduction to radar systems,” McGraw-Hill, third edition, 2002.
[28] J. A. Tropp and A. C. Gilbert, “Signal recovery from random measurements via orthogonal matching pursuit,” IEEE Trans. Inf. Theory, vol. 53, no. 12, pp. 4655-4666, Dec. 2007.
[29] S. A. Mousavi, M. Farhang, M. A. Masnadi Shirazi, “A Comparison of the Tracking Performance of Cognitive Co-Located MIMO and Phased-Array Radars,” Journal of Radar, vol. 5, no. 3, pp. 51-60, 2017 (In Persian).