Instantaneous frequency estimation of nonlinear frequency-modulated signals in the presence of multiplicative and additive noise

This paper addresses the problem of estimating the instantaneous frequency (IF) of monocomponent nonlinear, not necessarily polynomial, frequency modulated (FM) signals affected by stationary multiplicative and additive noise. Both noise processes are assumed to be complex circular Gaussian and inde...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on signal processing 2001-10, Vol.49 (10), p.2214-2222
Main Author: Barkat, B.
Format: Article
Language:English
Subjects:
Additive noise
Additives
Algorithm design and analysis
Amplitude modulation
Analysis of variance
Applied sciences
Asymptotic properties
Detection, estimation, filtering, equalization, prediction
Estimators
Exact sciences and technology
Frequency estimation
Frequency modulation
Gaussian
Gaussian noise
Information, signal and communications theory
Intermediate frequency
Mathematical analysis
Noise
Nonlinearity
Polynomials
Signal and communications theory
Signal processing
Signal resolution
Signal, noise
Telecommunications and information theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper addresses the problem of estimating the instantaneous frequency (IF) of monocomponent nonlinear, not necessarily polynomial, frequency modulated (FM) signals affected by stationary multiplicative and additive noise. Both noise processes are assumed to be complex circular Gaussian and independent. The peak of the polynomial Wigner-Ville distribution (PWVD) is proposed here as an IF estimator. We derive analytical expressions for the bias and asymptotic variance of the estimator and propose an algorithm to select the optimal window length to resolve the bias-variance tradeoff in the IF estimation. Simulation results are presented to confirm the theoretical results.
ISSN:1053-587X
1941-0476
DOI:10.1109/78.950777