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

Ingrid Daubechies; Yi Grace Wang; Hau-tieng Wu

doi:10.1098/rsta.2015.0193

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

Philos Trans A Math Phys Eng Sci. 2016 Apr 13;374(2065):20150193. doi: 10.1098/rsta.2015.0193.

Authors

Ingrid Daubechies¹, Yi Grace Wang², Hau-tieng Wu³

Affiliations

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 hauwu@math.toronto.edu.

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.

Keywords: ConceFT; instantaneous frequency; multitaper; reassignment method; synchrosqueezing transform.

Publication types

Research Support, Non-U.S. Gov't