Direction of Arrival Estimation in Presence of Nonuniform Noise Using Subspace Based Methods

Document Type : Original Article

Authors

Shiraz University

Abstract

In the most of DOA estimation methods, environmental noise model is considered to be uniform spatial white noise. However, in many applications this kind of modeling may not be appropriate and leads to considerable direction finding errors. Non-equal output noise power of array elements that causes nonuniform noise is one of these cases. The most important goal of this paper is the investigation and comparison of DOA estimation in presence of nonuniform noise using simulation as well as presenting a novel and effective method for DOA estimation in the mentioned situation. A novel low complexity algorithm for DOA estimation in presence of nonuniform spatial white noise is proposed. Additionally, the performance of the proposed method is simulated and compared with that of matrix completion based method and also iterative subspace estimation schemes for various parameters. The simulation results demonstrate that the proposed scheme achieves a considerable advantage over the existing schemes with remarkably lower complexity.

Keywords

References

   [1]      B. Liao, S. C. Chan, L. Huang, and C. Guo, “Iterative Methods for Subspace and DOA Estimation in Nonuniform Noise,” IEEE Trans. Signal Processing, vol. 64, no. 12, pp. 3008-3020, 2016.##
   [2]      M. Pesavento and A. B. Gershman, “Maximum-likelihood direction-of-arrival estimation in the presence of unknown nonuniform noise,” IEEE Transactions on Signal Processing, vol. 49, no. 7, pp. 1310-1324, 2001.##
   [3]      P. Stoica and R. L. Moses, “Spectral analysis of signals,” Upper saddle River, NJ: Prentice Hall, 2005.##
   [4]      P.Stoica and A. Nehorai, “MUSIC, maximum likelihood, and Cramer-Rao bound,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 37, no. 5, pp. 720-741, 1989.##
   [5]      J. Yin and T. Chen, “Direction-of-arrival estimation using a sparse representation of array covariance vectors,” IEEE Transactions on Signal Processing, vol. 59, no. 9, pp.   4489-4493, 2011.##
   [6]      M. Grant and S. Boyd, “CVX: Matlab software for disciplined convex programming,” version 2.1, 2017. http://cvxr.com/cvx/##
   [7]      B. Liao, “Matrix completion based direction-of-arrival estimation in nonuniform noise,” C. Guo, L. Huang, and  J.  Wen, In Digital Signal Processing (DSP), 2016 IEEE International Conference on, pp. 66-69, October 2016.##
   [8]      C. E. Chen, F. Lorenzelli, R. E. Hudson, and K. Yao, “Stochastic maximum-likelihood DOA estimation in the presence of unknown nonuniform noise,” IEEE Transactions on Signal Processing, vol. 56, no. 7, pp.  3038-3044, 2008.##
   [9]      E. J. Candès and  B. Recht, “Exact matrix completion via convex optimization,” Foundations of Computational mathematics, vol. 9, no. 6, p. 717, 2009.##
[10]      M. Davenport and  J. Romberg, “An overview of low-rank matrix recovery from incomplete observations,” IEEE Journal of Selected Topics in Signal Processing, vol. 10, no. 4, pp. 608-622, 2016.##
[11]      M. Malek-Mohammadi, M. Jansson, A. Owrang, A. Koochakzadeh, and M. Babaie-Zadeh, “DOA estimation in partially correlated noise using low-rank/sparse matrix decomposition,” In Sensor Array and Multichannel Signal Processing Workshop (SAM), 2014 IEEE 8th, pp. 373-376, June 2014.##
[12]      R. H. Keshavan, A. Montanari, and S. Oh, “Matrix completion from noisy entries,” Journal of Machine Learning Research, vol. 11, no. Jul, pp. 2057-2078, 2010.##
[13]      R. H. Keshavan, A. Montanari, and S. Oh, “Matrix completion from a few entries,” IEEE Transactions on Information Theory, vol. 56, no. 6, pp. 2980-2998, 2010.##
[14]      J. F. Cai, E. J. Candès, and Z. Shen, “A singular value thresholding algorithm for matrix completion,” SIAM Journal on Optimization, vol. 20, no. 4, pp. 1956-1982, 2010.##
[15]      B. Recht, “A simpler approach to matrix completion,” Journal of Machine Learning Research, vol. 12, no. Dec, pp. 3413-3430, 2011.##
Radar
Volume 7, Issue 1 - Serial Number 21
December 2019
Pages 65-77

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History

  • Receive Date: 16 July 2018
  • Revise Date: 09 March 2019
  • Accept Date: 04 May 2019
  • Publish Date: 23 August 2019

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