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AuthorOmidvarnia, A.
AuthorAzemi, G.
AuthorO'Toole, J.M.
AuthorBoashash, B.
Available date2013-09-17T15:48:53Z
Publication Date2013-11
Publication NameSignal Processing
CitationAmir Omidvarnia, Ghasem Azemi, John M. O' Toole, Boualem Boashash, “Robust estimation of highly-varying nonlinear instantaneous frequency of monocomponent signals using a lower-order complex-time distribution”, Signal Processing, Volume 93, Issue 11, November 2013, Pages 3251-3260
DescriptionThis paper presents a robust method for estimating highly-changing nonlinear IFs in monocomponent signals using a lower order CTD based on the general concept of complex-time argument differentiation. (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see In addition, 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: 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).
AbstractThis paper proposes an approach for robust estimation of highly-varying nonlinear instantaneous frequency (IF) in monocomponent nonstationary signals. The proposed method is based on a lower order complex-time distribution (CTD), derived by using the idea of complex-time differentiation of the instantaneous phase. Unlike other existing TFDs in the same framework, the proposed TFD is an order-free distribution which alleviates the subtractive cancellation error in IF estimation. The approach is applied to highly nonstationary monocomponent signals. Performance of the numerical implementation is compared with three existing IF estimation methods using three simulated signals. Noise analysis is also performed to evaluate the robustness of the method in presenfdece of additive noise at signal to noise ratio (SNR) varying from −10 dB to 20 dB. Results show that the proposed method outperforms the other methods at lower SNR and works reasonably well for the noiseless case.
PublisherElsevier B.V.
SubjectTime–frequency distribution
SubjectInstantaneous frequency
SubjectComplex step differentiation
Subjectquadratic TFDs
Subjecttime frequency distributions
TitleRobust estimation of highly-varying nonlinear instantaneous frequency of monocomponent signals using a lower-order complex-time distribution

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