Adaptive instantaneous frequency estimation of multi-component FM signals

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Adaptive instantaneous frequency estimation of multi-component FM signals

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Title: Adaptive instantaneous frequency estimation of multi-component FM signals
Author: Hussain, Z.M.; Boashash, B
Abstract: Estimation of the instantaneous frequency (IF) of multicomponent FM signals with additive Gaussian noise is considered. A reduced interference distribution (RID) with high resolution is used for time-frequency representation of signals. If the IF law is a nonlinear function of time, the bias and variance of the estimate depend on the window length. The optimal window length for bias-variance tradeoff depends on the unknown IF law, hence calling for an adaptive algorithm with time-varying and data-driven window length to resolve this tradeoff. The adaptive estimation of multiple IF laws is based on tracking the component maxima in the time-frequency plane. Simulation results for multi-component signals are comparable with those obtained for mono-component signals when the components are well separated.
Description: This paper presents a method to estimate the IF law of a multi-component signal using quadratic TFDs with reduced interference. The B-distribution is selected and it is proved that an adaptive algorithm with time varying widow length is necessary. (The most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated).
URI: http://hdl.handle.net/10576/10749
Date: 2000

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