The Analysis of the Influence of Random Array Error to Wideband Signal DOA Estimation Reiterative Algorithm

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 fllters 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 does not require the number of sources for direction flnding, 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 conflrmed the efiectiveness and robustness of the new method.

[1]  Hong Wang,et al.  Coherent signal-subspace processing for the detection and estimation of angles of arrival of multiple wide-band sources , 1985, IEEE Trans. Acoust. Speech Signal Process..

[2]  Yang-Ho Choi,et al.  On conditions for the rank restoration in forward/backward spatial smoothing , 2002, IEEE Trans. Signal Process..

[3]  Xin Xu,et al.  A New Method for Wideband DOA Estimation , 2007, 2007 International Conference on Wireless Communications, Networking and Mobile Computing.

[4]  Karl Gerlach,et al.  Robust DOA Estimation: The Reiterative Superresolution (RISR) Algorithm , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[5]  S. Unnikrishna Pillai,et al.  Forward/backward spatial smoothing techniques for coherent signal identification , 1989, IEEE Trans. Acoust. Speech Signal Process..

[6]  K. Khorasani,et al.  A robust state-space approach for localizing wideband sources in sensor arrays , 2004, Processing Workshop Proceedings, 2004 Sensor Array and Multichannel Signal.

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

[8]  P. Russer,et al.  An analysis of wideband direction-of-arrival estimation for closely-spaced sources in the presence of array model errors , 2003, IEEE Microwave and Wireless Components Letters.

[9]  Chunmei Zhang.  Signal overcomplete Signal overcomplete decomposition based on redundant dictionaries , 2005 .

[10]  Michael A. Saunders,et al.  Atomic Decomposition by Basis Pursuit , 1998, SIAM J. Sci. Comput..

[11]  Raffaele Parisi,et al.  WAVES: weighted average of signal subspaces for robust wideband direction finding , 2001, IEEE Trans. Signal Process..

[12]  Michael Elad,et al.  Stable recovery of sparse overcomplete representations in the presence of noise , 2006, IEEE Transactions on Information Theory.

[13]  Surendra Prasad,et al.  An improved spatial smoothing technique for bearing estimation in a multipath environment , 1988, IEEE Trans. Acoust. Speech Signal Process..

[14]  Zhang Chunmei,et al.  Signal overcomplete representation and sparse decomposition based on redundant dictionaries , 2005 .