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

B. Barkat; B. Boashash

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

B. Barkat, B. Boashash

Electrical Engineering

Queensland University of Technology

Research output: Contribution to conference › Paper › peer-review

Abstract

The peak of the polynomial Wigner-Ville distribution was proposed as an instantaneous frequency estimator for a polynomial frequency modulated signal. In this paper, 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.

Original language	British English
Pages	356-359
Number of pages	4
State	Published - 1998
Event	Proceedings of the 1998 9th IEEE SP Workshop on Statistical Signal and Array Processing - Portland, OR, USA Duration: 14 Sep 1998 → 16 Sep 1998

Conference

Conference	Proceedings of the 1998 9th IEEE SP Workshop on Statistical Signal and Array Processing
City	Portland, OR, USA
Period	14/09/98 → 16/09/98

Cite this

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title = "Bias and variance of the PWVD based if estimator for polynomial FM signals in additive Gaussian noise",

abstract = "The peak of the polynomial Wigner-Ville distribution was proposed as an instantaneous frequency estimator for a polynomial frequency modulated signal. In this paper, 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.",

author = "B. Barkat and B. Boashash",

year = "1998",

language = "British English",

pages = "356--359",

note = "Proceedings of the 1998 9th IEEE SP Workshop on Statistical Signal and Array Processing ; Conference date: 14-09-1998 Through 16-09-1998",

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TY - CONF

T1 - Bias and variance of the PWVD based if estimator for polynomial FM signals in additive Gaussian noise

AU - Barkat, B.

AU - Boashash, B.

PY - 1998

Y1 - 1998

N2 - The peak of the polynomial Wigner-Ville distribution was proposed as an instantaneous frequency estimator for a polynomial frequency modulated signal. In this paper, 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.

AB - The peak of the polynomial Wigner-Ville distribution was proposed as an instantaneous frequency estimator for a polynomial frequency modulated signal. In this paper, 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.

UR - http://www.scopus.com/inward/record.url?scp=0032298895&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:0032298895

SP - 356

EP - 359

T2 - Proceedings of the 1998 9th IEEE SP Workshop on Statistical Signal and Array Processing

Y2 - 14 September 1998 through 16 September 1998

ER -

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

Abstract

Conference

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