Generalized Maximum Entropy Method for Cosmic Source Localization

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.





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