volume | PIER Journals

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.

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 Google Scholar

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 Google Scholar

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

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. Google Scholar

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 Google Scholar

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 Google Scholar

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. Google Scholar

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

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 Google Scholar

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. Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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. Google Scholar

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 Google Scholar

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 Google Scholar

Mr. Chandrasekaran Ashok

Dr. Venkateswaran Narasimhan