![](https://d3ilqtpdwi981i.cloudfront.net/Hg0HQ4LFIn7BEgWTdrvF1OGjJlE=/425x550/smart/https://bepress-attached-resources.s3.amazonaws.com/uploads/76/d1/7d/76d17dce-8476-4440-83fe-d2c87cf11cd4/file.gif)
Article
Instantaneous Frequency Estimation Based on Synchrosqueezing Wavelet Transform
Signal Processing
(2017)
Abstract
Recently, the synchrosqueezing transform (SST) was developed as an alternative to the empirical mode decomposition scheme to separate a non-stationary signal with time-varying amplitudes and instantaneous frequencies (IFs) into a superposition of frequency components that each have well-defined IFs. The continuous wavelet transform (CWT)-based SST sharpens the time-frequency representation of a non-stationary signal by assigning the scale variable of the signal’s CWT to the frequency variable by a reference IF function. Since the SST method is applied to estimate the IFs of all frequency components of a signal based on one single reference IF function, it may yield not very accurate results. In this paper we introduce the instantaneous frequency-embedded synchrosqueezing wavelet transform (IFE-SST). IFE-SST uses a rough estimation of the IF of a targeted component to produce accurate IF estimation. The reference IF function of IFE-SST is associated with the targeted component. Our numerical experiments show that IFE-SST outperforms the CWT-based SST in IF estimation and separation of multicomponent signals.
Disciplines
Publication Date
September 1, 2017
DOI
10.1016/j.sigpro.2017.03.007
Citation Information
Qingtang Jiang and Bruce W. Suter. "Instantaneous Frequency Estimation Based on Synchrosqueezing Wavelet Transform" Signal Processing Vol. 138 (2017) p. 167 - 181 Available at: http://works.bepress.com/qingtang-jiang/1/