volume | PIER Journals

Abstract

This paper proposed a new approach, which is based on minimum mean-square error (MMSE) criterion, for wideband signal spatial direction-of-arrival (DOA) estimation when there is array error, and the impact of random array error to the new algorithm is analyzed in this paper. Pass the wideband signal mixed with array error through a bank of narrowband filters to obtain narrowband signals, then recover the sparse representation of the narrowband signals by re-iterative method in the MMSE frameworks, and estimate the number and DOA of sources from the sparse representation. The new method do not require the number of sources for direction finding, furthermore, it can estimate the DOA of coherent signals and the robustness of new algorithm to array error is better than coherent subspace algorithms. The simulated results confirmed the effectiveness and robustness of the new method.

1. Wang, H. and M. Kaveh, "Coherent signal-subspace processing for the detection and estimation of angles arrival of multiple wide-band sources," IEEE Trans. on Acoustics Speech and Signal Processing, Vol. 33, No. 4, 823-831, 1985.
doi:10.1109/TASSP.1985.1164667

2. Claudio, E. D. and R. P. Arisi, "WAVES: Weighted average of signal subspaces for robust wideband direction finding," IEEE Trans. on Signal Processing, Vol. 49, No. 10, 2179-2190, 2001.
doi:10.1109/78.950774

3. Yu, H.-Q., J. Liu, and Z.-T. Huang, "A wideband DOA estimation algorithm based on signal subspace focusing," System Engineering and Electronic Technology, Vol. 30, No. 4, 609-612, 2008.

4. Tuan, D. H. and P. Russer, "An analysis of wideband direction of arrival estimation for closely-spaced sources in the presence of array model errors," IEEE Trans. Microwave and Wireless Components, Vol. 13, No. 8, 314-316, 2003.
doi:10.1109/LMWC.2003.815701

5. Velni, J. M. and K. Khorasani, "A robust state-space approach for localizing wideband sources in sensor arrays," IEEE Sensor Array and Multichannel Signal Processing Workshop, 298-302, 2004.
doi:10.1109/SAM.2004.1502957

6. Blunt, S. D., T. Chan, and K. Gerlach, "Robust DOA estimation: The reiterative superresolution (RISR) algorithm," IEEE Trans. Aerospace and Electronic Systems, Vol. 47, No. 1, 332-346, 2011.
doi:10.1109/TAES.2011.5705679

7. Chen, S. S., D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM J. Scientif. Comput., Vol. 20, 3-61, 1999.

8. Donoho, D. L., M. Elad, and V. Temlyakvo, "Stable recovery of sparse overcomplete representations in the presence of noise," IEEE Trans. Inf. Theory, Vol. 52, No. 1, 6-18, 2006.
doi:10.1109/TIT.2005.860430

9. Zhang, C., Z. Yin, X. Chen, and M. Xiao, "Signal overcomplete representation and sparse decomposition based on redundant dictionaries," Chinese Sci. Bull., Vol. 50, No. 23, 2672-2677, 2005.
doi:10.1360/982004-81

10. Shan, T. J., M. Wax, and T. Kailath, "On spatial smoothing for direction-of-arrival estimation of coherent signals," IEEE Trans. on Acoustics Speech and Signal Processing, Vol. 33, No. 4, 806-811, Aug. 1985.
doi:10.1109/TASSP.1985.1164649

11. Pillai, S. U. and B. H. Kwon, "Forward/backward spatial smoothing techniques for the coherent signal identification," IEEE Trans. on Acoustics Speech and Signal Processing, Vol. 37, No. 1, Jan. 8-15, 1989.

12. Williams, R. T., S. Prasad, and A. K. Mahalanabis, "An improved spatial smoothing technique for bearing estimation in a multipath environment," IEEE Trans. on Acoustics Speech and Signal Processing, Vol. 36, No. 4, 425-432, Apr. 1988.
doi:10.1109/29.1546

13. Choi, Y.-H., "On conditions for the rank restoration in forward/back ward spatial smoothing," IEEE Trans. SP, Vol. 50, No. 11, 2900-2901, Nov. 2002.
doi:10.1109/TSP.2002.804075

14. Yu, H., J. Liu, and Z. Huang, "A new method for wideband DOA estimation," IEEE Wireless Communications, Networking and Mobile Computing, 598-601, 2007.

Dr. Fei Zhang

Dr. Ke-Song Chen

Dr. Bin Tang

Dr. Honggang Wu