Instantaneous frequency estimators of FM signals: Performance under models of multiplicative noise

Document Type

Journal Article

Publication Title

Global Journal of Pure and Applied Mathematics

Volume

12

Issue

6

First Page

5361

Last Page

5377

Publisher

Research India Publications

School

School of Engineering

RAS ID

45100

Funders

Edith Cowan University Ministry of Higher Education & Scientific Research, Iraq

Comments

Al-Rammahi, Z. C., & Hussain, Z. M. (2016). Instantaneous frequency estimators of FM signals: Performance under models of multiplicative noise. Global Journal of Pure and Applied Mathematics, 12(6), 5361-5377. https://www.ripublication.com/Volume/gjpamv12n6.htm

Abstract

This paper presents a study on the performance of instantaneous frequency estimators of mono-component FM signals, including a single-tone sinusoid, under additive white Gaussian noise (AWGN) with different kinds of multiplicative noise. For single-tone signals, two main estimators are considered: maximum likelihood (ML) estimator using Discrete Fourier Transform (DFT) with interpolated peak estimation, and autocorrelation method. For linear and non-linear FM signals, peak of a specific time-frequency distribution (TFD), the periodogram, has been considered. Three statistical models of multiplicative noise are analyzed (Gaussian, Rayleigh, uniform). Simulation results showed that Rayleigh noise is less destructive than Gaussian or uniform noise with the same power; also, DFT is still better than correlation for IF estimation in terms of error and robustness against all noise models.

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