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2020-06-10
A Computationally Efficient Modified MUSIC Spectrum for Resolving DOAs of Multiple Closely Spaced Non-Gaussian Sources
By
Progress In Electromagnetics Research C, Vol. 102, 241-251, 2020
Abstract
The objective of this work is to estimate the Direction of Arrival (DOA) of signals from multiple closely spaced non-Gaussian sources corrupted by additive Gaussian noise. Generally, this is achieved by using higher order statistics (HoS) based MUSIC spectrum. In HoS, the Fourth order Cumulant is utilized because of its property of insensitivity to Gaussian process. But in the case of resolving closely spaced sources, a large number of sensor elements are required; otherwise, the resolution gets deteriorated. The large number of sensor elements leads to high computational burden. We propose a computationally efficient modified Spectrum that combines Fourth order Cumulants based MUSIC spectrum and its second-order differential counterparts. The proposed spectrum for DOA estimation offers good statistical performance and better accuracy the existing methods even in the case of extremely closely spaced signal sources. The improvement in the aspects of resolution and accuracy is substantiated by means of various simulation results such as Monte-Carlo simulations, spectral width, resolution with respect to angular separation, and comparison of RMSE with respect to number of array elements, number of snapshots, and SNR. The computational complexity analysis of the proposed method is also presented.
Citation
Chandrasekaran Ashok, and Venkateswaran Narasimhan, "A Computationally Efficient Modified MUSIC Spectrum for Resolving DOAs of Multiple Closely Spaced Non-Gaussian Sources," Progress In Electromagnetics Research C, Vol. 102, 241-251, 2020.
doi:10.2528/PIERC20020603
References

1. Shu, F., et al. "Directional modulation: A physical-layer security solution to B5G and future wireless networks," IEEE Network, Vol. 34, No. 2, 210-216, Mar./Apr. 2020.
doi:10.1109/MNET.001.1900258

2. Mohammad Razavizadeh, S., M. Ahn, and I. Lee, "Three-dimensional beamforming: A new enabling technology for 5G wireless networks," IEEE Signal Process. Mag., Vol. 31, No. 6, 94-101, Nov. 2014.
doi:10.1109/MSP.2014.2335236

3. 3GPP "Report of 3GPP RAN Workshop on Release 12 and onwards,", RWS-120052, 3GPP Workshop on Release 12 Onward, Jun. 2012.

4. Foutz, J., A. Spanias, and M. K. Banavar, "Narrowband direction of arrival estimation of antenna arrays, Synthesis lectures on antennas#8," Synthesis Lectures on Antennas, Morgan and Claypool Publishers, San Rafael, CA, 2008.

5. Evers, C., E. A. P. Habets, S. Gannot, and P. A. Naylor, "DOA reliability for distributed acoustic tracking," IEEE Signal Processing Letters, Vol. 25, No. 9, 1320-1324, Sept. 2018.
doi:10.1109/LSP.2018.2849579

6. Schmidt, R. O., "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag., Vol. 34, 276-280, Mar. 1986.
doi:10.1109/TAP.1986.1143830

7. Roy, R. and T. Kailath, "ESPRIT-estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoust., Speech, Signal Processing, Vol. 37, 984-995, Jul. 1989.

8. Capon, J., "High resolution frequency-wavenumber spectral analysis," Proc. IEEE, Vol. 57, No. 8, 1408-1418, 1969.
doi:10.1109/PROC.1969.7278

9. Ziskind, I. and M. Wax, "Maximum likelihood localization of multiple sources by alternating projection," IEEE Trans. Acous., Speech and Signal Processing, Vol. 36, No. 10, 1553-1560, 1988.
doi:10.1109/29.7543

10. Krim, H. and M. Viberg, "Two decades of array signal processing research," IEEE Signal Process. Mag., Vol. 13, No. 7, 67-94, Jul. 1996.

11. Zhang, Y., G. Zhang, and H. Leung, "Grid-less coherent DOA estimation based on fourth-order cumulants with Gaussian coloured noise," IET Radar, Sonar & Navigation, Vol. 14, No. 5, 677-685, 2020.
doi:10.1049/iet-rsn.2019.0329

12. Chen, G., X. Zeng, S. Jiao, A. Yu, and Q. Luo, "High accuracy near-field localization algorithm at low SNR using fourth-order cumulant," IEEE Communications Letters, Vol. 24, No. 3, 553-557, Mar. 2020.
doi:10.1109/LCOMM.2019.2959576

13. Porat, B. and B. Friedlander, "Direction finding algorithms based on higher order statistics," IEEE Transactions on Signal Processing, Vol. 39, No. 9, 2016-2024, Sept. 1991.
doi:10.1109/78.134434

14. Liao, B. and S.-C. Chan, "A cumulant-based method for direction finding in uniform linear arrays with mutual coupling ," IEEE Antennas and Wireless Propagation Letters, Vol. 13, 1717-1720, 2014.
doi:10.1109/LAWP.2014.2352939

15. Dougan, M. C. and J. M. Mendel, "Applications of cumulants to array processing Part II: Non-Gaussian noise suppression," IEEE Transactions on Signal Processing, Vol. 43, No. 7, 1663-1676, 1995.
doi:10.1109/78.398727

16. Palanisamy, P. and N. Rao, "Direction of arrival estimation based on fourth-order cumulant using propagator method," Progress In Electromagnetics Research B, Vol. 18, 83-99, 2009.
doi:10.2528/PIERB09081806

17. Ebrahimi, A. A., H. R. Abutalebi, and M. Karimi, "Generalised two stage cumulants-based MUSIC algorithm for passive mixed sources localisation," IET Signal Processing, Vol. 13, No. 4, 409-414, 2019.
doi:10.1049/iet-spr.2018.5357

18. Kumar, L., A. Tripathy, and R. M. Hegde, "Robust multi-source localization over planar arrays using music-group delay spectrum," IEEE Transactions on Signal Processing, Vol. 62, No. 17, 4627-4636, Sept. 2014.
doi:10.1109/TSP.2014.2337271

19. Ichige, K., Y. Ishikawa, and H. Arai, "Accurate direction-of-arrival estimation using second-order differential of music spectrum," Proc. IEEE Int. Symp. Intell. Signal Process. Commun. (ISPACS), 995-998, 2006.

20. Ichige, K., K. Saito, and H. Arai, "High resolution DOA estimation using unwrapped phase information of music-based noise subspace," IEICE Trans. Fundam. Electron. Commun. Comput. Sci., Vol. E91-A, 1990-1999, Aug. 2008.
doi:10.1093/ietfec/e91-a.8.1990

21. Ahmed, T., X. Zhang, and W. U. Hassan, "A higher-order propagator method for 2D-DOA estimation in massive MIMO systems," IEEE Communications Letters, Vol. 24, No. 3, 543-547, Mar. 2020.
doi:10.1109/LCOMM.2019.2960341