Direction of Arrival Estimation Based on Fourth-Order Cumulant Using Propagator Method

doi:10.2528/PIERB09081806

PIER B
Progress In Electromagnetics Research B	ISSN: 1937-6472

Home > Vol. 18 > pp. 83-99

DIRECTION OF ARRIVAL ESTIMATION BASED ON FOURTH-ORDER CUMULANT USING PROPAGATOR METHOD

By P. Palanisamy and N. Rao

Full Article PDF (234 KB)
Abstract:
In this paper direction-of-arrival estimation (DOA) of multiple narrow-band sources, based on higher-order statistics using propagator, is presented. This technique uses fourth-order cumulants of the received array data instead of second-order statistics (auto-covariance) and then the so-called propagator approach is used to estimate the DOA of the sources. The propagator is a linear operator which only depends on the array steering vectors and which can be easily extracted from the received array data. But it does not require any eigendecomposition of the cumulant matrix of the received data like MUSIC algorithm. Computer simulations are carried out to compare the performance of the proposed method to those of methods based on auto-covariance using MUSIC and propagator algorithms.

Citation:
P. Palanisamy 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
http://www.jpier.org/pierb/pier.php?paper=09081806

References:
1. Krim, H. and M. Viberg, "Two decades of array signal processing research," IEEE Signal Process. Mag., Vol. 13, No. 7, 67-94, 1996.
doi:10.1109/79.526899

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

3. 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

4. Harabi, F., H. Changuel, and A. Gharsallah, "Direction of arrival estimation method using a 2-L arrays antenna," Progress In Electromagnetics Research, Vol. 69, 145-160, 2007.
doi:10.2528/PIER06120204

5. Donelli, M., S. Caorsi, F. DeNatale, M. Pastorino, and A. Massa, "Linear antenna synthesis with a hybrid genetic algorithm," Progress In Electromagnetics Research, Vol. 49, 1-22, 2004.
doi:10.2528/PIER03121301

6. Sotiriou, A. I., P. K. Varlamos, P. T. Trakadas, and C. Capsalis, "Performance of a six-beam switched parasitic planar array under one path rayleigh fading environment," Progress In Electromagnetics Research, Vol. 62, 89-106, 2006.
doi:10.2528/PIER06020204

7. Schmidt, R. O., "Multiple emitter location and signal parameter estimation," IEEE Trans. Signal Process., Vol. 34, No. 2, 276-280, 1986.

8. Bienvenu, G. and L. Kopp, "Optimality of high resolution array processing using the eigensystem approach," IEEE Trans. Acous., Speech and Signal Processing, Vol. 31, 1234-1248, 1983.

9. Marcos, S., A. Marsal, and M. Benidir, "The propagator method for source bearing estimation," Signal Processing, Vol. 42, No. 2, 121-138, 1995.
doi:10.1016/0165-1684(94)00122-G

10. Mohler, R. R., "A Second-order eigen structure array processor," Proc. Workshop Higher Order Spectral Anal., 152-257, Vail, CO, Jun. 1989.

11. Chiang, H. H. and C. L. Nikias, "The ESPRIT algorithm with higher-order statistics," Proc. Workshop Higher Order Spectral Anal., 163-168, Vail, CO, Jun. 1989.

12. Porat, B. and B. Friedlander, "Direction finding algorithms based on high-order statistics," IEEE Trans. Signal Process., Vol. 39, No. 9, 2016-2023, 1991.
doi:10.1109/78.134434

13. Chen, Y. H. and Y. S. Lin, "Fourth-order cumulant matrices for DOA estimation," Proc. Inst. Elect. Eng. Radar, Sonar Navig., Vol. 141, 144-148, 1994.
doi:10.1049/ip-rsn:19941098

14. Dogan, M. C. and J. M. Mendel, "Application of cumulants to array processing --- Part I: Aperture extension and array calibration," IEEE Trans. Signal Process.,, Vol. 43, No. 5, 1200-1216, 1995.
doi:10.1109/78.382404

15. Chevalier, P. and A. Ferreol, "On the virtual array concept for the fourthorder direction finding problem," IEEE Trans. Signal Process., Vol. 47, No. 9, 2592-2595, 1999.
doi:10.1109/78.782217

16. Ding, Q., P. Wei, and X. C. Xiao, "Estimation and analysis of DOA based on fourth-order cumulants," Acta Electronica Sinica, Vol. 27, 25-28, 1999.

17. Li, F. and R. J. Vaccaro, "Analysis of min-norm and MUSIC with arbitrary array geometry," IEEE Trans. Aerospace and Elec. Sys., Vol. 26, No. 6, 976-985, 1990.
doi:10.1109/7.62249

18. Li, F. and R. J. Vaccaro, "Unified analysis for DOA estimation algorithms in array signal processing," Signal Process., Vol. 25, 147-169, 1991.
doi:10.1016/0165-1684(91)90060-V

19. Li, F., H. Liu, and R. J. Vaccaro, "Performance analysis for DOA estimation algorithm: Unification, simplification and observations," IEEE Trans. Aerospace and Elec. Sys., Vol. 29, No. 4, 1170-1184, 1993.
doi:10.1109/7.259520

20. Roy, R. and T. Kailath, "ESPRIT: Estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoust. Speech Signal Process., Vol. 37, No. 7, 984-995, 1989.
doi:10.1109/29.32276