EXPULSEmethod lifts the main drawback of the classical high resolution spectraludanalysis methods (MUSIC, MINORM, . . .) which have a poor robustness withudrespect to an unreliable knowledge of the number of sources . Its novelty stemsudfrom the modeling of the periodogram of complex sinusoids embedded in anudadditive noise, as the convolution of a perfectly known kernel (depending upon theudwindow) and a compound Bernoulli-Gaussian process, plus a noise . The discreteudfrequencies where the Bernoulli process takes 1 values locate the sinusoids ; theudgaussian process describes the amplitudes .
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