Generalized Maximum Entropy Method for Cosmic Source Localization
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Generalized Maximum Entropy Method for Cosmic Source Localization

Authors: Youssef Khmou, Said Safi, Miloud Frikel

Abstract:

The Maximum entropy principle in spectral analysis was used as an estimator of Direction of Arrival (DoA) of electromagnetic or acoustic sources impinging on an array of sensors, indeed the maximum entropy operator is very efficient when the signals of the radiating sources are ergodic and complex zero mean random processes which is the case for cosmic sources. In this paper, we present basic review of the maximum entropy method (MEM) which consists of rank one operator but not a projector, and we elaborate a new operator which is full rank and sum of all possible projectors. Two dimensional Simulation results based on Monte Carlo trials prove the resolution power of the new operator where the MEM presents some erroneous fluctuations.

Keywords: Maximum entropy, Cosmic source, Localization, operator, projector, azimuth, elevation, DoA, circular array.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1096616

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[1] Youssef Khmou, Said Safi and Miloud Frikel, "Comparative Study between Several Direction Of Arrival Estimation Methods", Journal of Telecommunications and Information Technology, p.41-p.48, 1/2014.
[2] Khmou, Y. , Safi, S. (2014). 'Angles of Arrival Estimation with Unitary Partial Propagator'. World Academy of Science, Engineering and Technology, International Science Index 89, International Journal of Mathematical, Computational, Physical and Quantum Engineering, 8(5), 846 - 849.
[3] Khmou, Y. , Safi, S. (2014). 'Angle of Arrival Detection with Fifth Order Phase Operators '. World Academy of Science, Engineering and Technology, International Science Index 90, International Journal of Mathematical, Computational, Physical and Quantum Engineering, 8(6), 950 – 953.
[4] L.C.Godora, (1997), Application of Antenna Arrays to mobile Communications.Beamforming and Direction-of-Arrival considerations, Proceedings of IEEE , Vol. 85, No.8 ,pp 1195-1245.
[5] Rym Feliachi, Traitement spatial des interférences cyclostationnaires pour les radiotélescopes à réseau d’antennes phasé (English thesis), University of Orleans, April 12, 2010.
[6] Hamid Krim and Mats Viberg," Two Decades of Array Signal Processing Research”, IEEES Signal Processing Magazine, vol. 13, pp. 67-94, 1996.
[7] Schimdt,R.O ., " Multiple Emitter Location and Signal Parameter Estimation," IEEE Trans. On Antennas Propagation, Vol.34, No.3, March 1986, pp.276-280.
[8] J.Capon, “High Resolution frequency-wavenumber spectral analysis," Proceeding of the IEEE, vol. 57 ,pp. 1408-1518,Aug 1969.