Strong Consistency of a Family of Model Order Selection Rules for Estimating the Parameters of 2-D Sinusoids in White Noise

Mark Kliger, Joseph M. Francos · 2006

We consider the problem of estimating jointly the number and the parameters of two-dimensional sinusoidal signals, observed in the presence of an additive white Gaussian noise field. We prove the strong consistency of a large family of model order selection rules, which includes the MAP based rule as a special case.

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