Theoretical analysis of the second-order synchrosqueezing transform

• Published in: Applied and computational harmonic analysis Vol. 45; no. 2; pp. 379 - 404
• Main Authors: Behera, Ratikanta, Meignen, Sylvain, Oberlin, Thomas
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.09.2018; Elsevier
• Subjects: Mathematics; Multicomponent signals; Numerical Analysis; Synchrosqueezing transform; Time-frequency analysis; Synchrosqueezing transform; Time-frequency analysis; Multicomponent signals; multicomponent signals; time-frequency analysis; synchrosqueezing transform
• ISSN: 1063-5203; 1096-603X
• DOI: 10.1016/j.acha.2016.11.001

We consider in this article the analysis of multicomponent signals, defined as superpositions of modulated waves also called modes. More precisely, we focus on the analysis of a variant of the second-order synchrosqueezing transform, which was introduced recently, to deal with modes containing stron...