Abstract
The peak of the polynomial Wigner-Ville distribution has been proposed as an instantaneous frequency estimator for a polynomial frequency modulated signal. We consider the statistical performance of such an estimator in the case of additive white Gaussian noise for a finite sample. It is shown that this estimator is unbiased and its variance is a function of the kernel coefficients of the PWVD. Results obtained by running Monte-Carlo simulations verify the theoretical derivations.
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