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Efficient Underdetermined DOA Estimation Algorithm by Extending Covariance Matrix based on Non-Circularity using Coprime Array

Kashif Shabir, Zhongfu Ye, Tarek Hasan Al Mahmud, Yawar Ali Sheikh, Rizwan Ullah. Published in Signal Processing.

Communications on Applied Electronics
Year of Publication: 2017
Publisher: Foundation of Computer Science (FCS), NY, USA
Authors: Kashif Shabir, Zhongfu Ye, Tarek Hasan Al Mahmud, Yawar Ali Sheikh, Rizwan Ullah
10.5120/cae2017652580

Kashif Shabir, Zhongfu Ye, Tarek Hasan Al Mahmud, Yawar Ali Sheikh and Rizwan Ullah. Efficient Underdetermined DOA Estimation Algorithm by Extending Covariance Matrix based on Non-Circularity using Coprime Array. Communications on Applied Electronics 7(1):1-5, May 2017. BibTeX

@article{10.5120/cae2017652580,
	author = {Kashif Shabir and Zhongfu Ye and Tarek Hasan Al Mahmud and Yawar Ali Sheikh and Rizwan Ullah},
	title = {Efficient Underdetermined DOA Estimation Algorithm by Extending Covariance Matrix based on Non-Circularity using Coprime Array},
	journal = {Communications on Applied Electronics},
	issue_date = {May 2017},
	volume = {7},
	number = {1},
	month = {May},
	year = {2017},
	issn = {2394-4714},
	pages = {1-5},
	numpages = {5},
	url = {http://www.caeaccess.org/archives/volume7/number1/729-2017652580},
	doi = {10.5120/cae2017652580},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}
}

Abstract

Real world signals are non-stationary but can be modeled as stationary within the local time frames. These types of signals are called quasi stationary signals (QSS). In this paper a Khatri-Rao (KR) subspace based direction of arrival (DOA) estimation of QSS is considered by designing a coprime array structure. This structure provides an alternative way to enhance the degrees of freedom (DOF) and it can also eliminate mutual coupling effects. One of the most important observations is that the covariance matrix can be extended based on non-circularity of QSS. The covariance matrix exhibits non-circularity due to the non-circular behavior of QSS. Exploiting the non-circularity an extended covariance matrix (ECM) is designed to achieve higher DOF. Hence, the proposed algorithm has the capability to uniquely estimate DOA’s more than twice the number of sensors. Simulation results show that the proposed algorithm can achieve better performance as compared to Khatri-Rao (KR) subspace, coprime array with displaced arrays (CADiS) and nested array based techniques under various situations.

References

  1. R. O. Schmidt. “Multiple Emitter Location and Signal Parameter Estimation”. IEEE Transactions on Antennas & Propagation, vol.34, no.3, pp. 276-280, 1986.
  2. H. Krim, M. Viberg. “Two decades of array signal processing research: the parametric approach”. IEEE Signal Processing Magazine, vol.13, no.4, pp. 67-94, 1996.
  3. R. Roy, T. Kailath. “ESPRIT-estimation of signal parameters via rotational invariance techniques”. IEEE Transactions on Acoustics, Speech and Signal Processing, vol.37, no.7, pp. 984-995, 1989.
  4. F. M. Han, X. D. Zhang. “An ESPRIT-like algorithm for coherent DOA estimation”. IEEE Antennas & Wireless Propagation Letters, vol.4, no.1, pp. 443-446, 2005.
  5. M. Pesavento, A. B. Gershman, M. Haardt. “A theoretical and experimental performance study of a root-MUSIC algorithm based on a real-valued Eigen decomposition”, IEEE Transactions on Signal Processing, vol.48, no.5, pp.1306-1314, 2000.
  6. Y. Zhang, B. P. Ng. “MUSIC-like DOA estimation without estimating the number of sources”. IEEE Transactions on Signal Processing, vol.58, no.3, pp.1668-1676, 2010.
  7. W. K. Ma, T. H. Hsieh, C. Y. Chi. “DOA Estimation of Quasi-Stationary Signals With Less Sensors Than Sources and Unknown Spatial Noise Covariance: A Khatri-Rao Subspace Approach”. IEEE Transactions on Signal Processing, vol.58, no.4, pp. 2168-2180, 2010.
  8. W. T. Zhang, S. T. Lou. “Search free algorithms for DOA estimation of quasi-stationary signals”. IEEE International Workshop on Machine Learning for Signal Processing (MLSP), IEEE, pp.1-5, 2011.
  9. PalanisamyP. and Kishore C. 2011 2-D DOA estimation of quasi-stationary signals based on Khatri-Rao subspace approach. IEEE International Conference on Recent Trends in Information Technology (ICRTIT).
  10. M. Y. Cao, L. Huang, C. Qian, et al. “Underdetermined DOA estimation of quasi-stationary signals via Khatri–Rao structure for uniform circular array”. Signal Processing, vol.106, no. C, pp. 41-48. 2015.
  11. P. Pal and P. P. Vaidyanathan, “Nested Arrays: A novel approach to array processing with enhanced degrees of freedom”. IEEE Transactions on. Signal Processing, vol.58, no.8, pp.4167–4181, Aug. 2010.
  12. P. P. Vaidyanathan, P. Pal. “Sparse Sensing With Co-Prime Samplers and Arrays”. IEEE Transactions on Signal Processing, vol.59, no.2, pp. 573 – 586, 2011.
  13. Pal P. and VaidyanathanP. P. 2011. Coprime sampling and the music algorithm. IEEE Digital Signal Processing Workshop and IEEE Signal Processing Education Workshop.
  14. F. Gao, A. Nallanathan, Y. Wang, “Improved MUSIC under the coexistence of both circular and noncircular sources”, IEEE Transactions on Signal Processing Vol.56, no.7, pp.3033-3038, 2008.
  15. J. Steinwandt, M. Haardt, G.D. Galdo, “Deterministic Cramér-rao bound for strictly non-circular sources and analytical analysis of the achievable gains”, IEEE Transactions on Signal Processing Vol.64, no.17, pp.4417-4431, 2016.
  16. H. Chen, C. Hou, W. Liu, W.P. Zhu, M.N.S Swamy, “Efficient two-dimensional direction-of-arrival estimation for a mixture of circular and noncircular sources” IEEE Sensors Journal Vol. 16, no. 8, pp.2527-2536, 2016.
  17. H. Abeida, J.P. Delmas, “MUSIC-like estimation of direction of arrival for noncircular sources”, IEEE Transactions on Signal Processing Vol.54, no.7, pp.2678-2690, 2008.

Keywords

Quasi stationary signals, Khatri-Rao, extended covariance matrix, degrees of freedom, mutual coupling, and direction of arrival.