ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform-Reference-Cited by-同舟云学术

ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform

Published:2016-04-13 Issue:2065 Volume:374 Page:20150193
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Daubechies Ingrid¹,Wang Yi (Grace)²,Wu Hau-tieng³

Affiliation:

1. Department of Mathematics, Duke University, Box 90320, Durham, NC 27708-0320, USA

2. Department of Mathematics, Syracuse University, 215 Carnegie Building, Syracuse, NY 13244-1150, USA

3. Department of Mathematics, University of Toronto, 40 St George Street, Toronto, Ontario, Canada M5S 2E4

Abstract

A new method is proposed to determine the time–frequency content of time-dependent signals consisting of multiple oscillatory components, with time-varying amplitudes and instantaneous frequencies. Numerical experiments as well as a theoretical analysis are presented to assess its effectiveness.

Funder

Sloan Research Fellow

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2015.0193

Reference73 articles.

1. Physiology of Circadian Entrainment

2. Circadian clock and cardiovascular disease

3. Neurophysiological and Computational Principles of Cortical Rhythms in Cognition