Bias and variance of the PWVD-based IF estimator for polynomial FM signals in additive Gaussian noise

Author

Barkat, Braham ; Boashash, Boualem

Author_Institution

Signal Process. Res. Centre, Queensland Univ. of Technol., Brisbane, Qld., Australia

fYear

1998

fDate

14-16 Sep 1998

Firstpage

356

Lastpage

359

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

Keywords

AWGN; Monte Carlo methods; Wigner distribution; frequency estimation; frequency modulation; polynomials; signal sampling; IF estimator; Monte-Carlo simulations; PWVD; additive Gaussian noise; bias; finite sample; instantaneous frequency estimator; kernel coefficients; polynomial FM signals; polynomial Wigner-Ville distribution; polynomial frequency modulated signal; statistical performance; variance; Additive noise; Additive white noise; Frequency estimation; Frequency modulation; Gaussian noise; Kernel; Polynomials; Signal design; Signal processing; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Statistical Signal and Array Processing, 1998. Proceedings., Ninth IEEE SP Workshop on

Conference_Location

Portland, OR

Print_ISBN

0-7803-5010-3

Type

conf

DOI

10.1109/SSAP.1998.739408

Filename

739408