Extraction of instantaneous frequencies from ridges in time-frequency representations of signals

Iatsenko, D. and McClintock, Peter Vaughan Elsmere and Stefanovska, Aneta (2016) Extraction of instantaneous frequencies from ridges in time-frequency representations of signals. Signal Processing, 125. 290–303. ISSN 0165-1684

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Abstract

In signal processing applications, it is often necessary to extract oscillatory components and their properties from time-frequency representations, e.g. the windowed Fourier transform or wavelet transform. The first step in this procedure is to find an appropriate ridge curve: a sequence of amplitude peak positions (ridge points), corresponding to the component of interest and providing a measure of its instantaneous frequency. This is not a trivial issue, and the optimal method for extraction is still not settled or agreed. We discuss and develop procedures that can be used for this task and compare their performance on both simulated and real data. In particular, we propose a method which, in contrast to many other approaches, is highly adaptive so that it does not need any parameter adjustment for the signal to be analysed. Being based on dynamic path optimization and fixed point iteration, the method is very fast, and its superior accuracy is also demonstrated. In addition, we investigate the advantages and drawbacks that synchrosqueezing offers in relation to curve extraction. The codes used in this work are freely available for download.

Item Type: Journal Article
Journal or Publication Title: Signal Processing
Additional Information: This is the author’s version of a work that was accepted for publication in Signal Processing. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Signal Processing, 125, 2016 DOI: 10.1016/j.sigpro.2016.01.024 Open Access funded by Engineering and Physical Sciences Research Council Under a Creative Commons license
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 78088
Deposited By: ep_importer_pure
Deposited On: 01 Feb 2016 10:30
Refereed?: Yes
Published?: Published
Last Modified: 21 Oct 2019 00:34
URI: https://eprints.lancs.ac.uk/id/eprint/78088

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