Robust estimation of highly-varying nonlinear instantaneous frequency of monocomponent signals using a lower-order complex-time distribution

Omidvarnia, Amir, Azemi, Ghasem, O' Toole, John M. and Boashash, Boualem (2013) Robust estimation of highly-varying nonlinear instantaneous frequency of monocomponent signals using a lower-order complex-time distribution. Signal Processing, 93 11: 3251-3260. doi:10.1016/j.sigpro.2013.03.041


Author Omidvarnia, Amir
Azemi, Ghasem
O' Toole, John M.
Boashash, Boualem
Title Robust estimation of highly-varying nonlinear instantaneous frequency of monocomponent signals using a lower-order complex-time distribution
Journal name Signal Processing   Check publisher's open access policy
ISSN 0165-1684
1872-7557
Publication date 2013-11
Sub-type Article (original research)
DOI 10.1016/j.sigpro.2013.03.041
Volume 93
Issue 11
Start page 3251
End page 3260
Total pages 10
Place of publication Amsterdam, Netherlands
Publisher Elsevier
Collection year 2014
Language eng
Formatted abstract
Highlights
• We propose a CTD for highly-varying IF estimation of monocomponent signals.
• We compare performance of the lower-order CTD with the WVD and two LCTDs.
• We evaluate its performance using simulations at different SNRs.
• The proposed CTD retains a high temporal resolution with robustness to noise.

This 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.
Keyword Time-frequency distribution
Instantaneous frequency
Estimation
Complex step differentiation
Nonstationarity
Wigner-Ville distributions
Classification
Components
Spectra
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: UQ Centre for Clinical Research Publications
Official 2014 Collection
School of Medicine Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 10 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 14 times in Scopus Article | Citations
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