Variational generalized nonlinear mode decomposition (VGMND)

for the time-frequency analysis and decomposition of transient signal and chirp signal

The matlab codes permit to reproduce some results in the paper: Wang H, Chen S, Zhai W, Variational generalized nonlinear mode decomposition: Algorithm and applications, Mechanical Systems and Signal Processing, 2023. The algorithm used in the paper is an improved version of that in the paper: Chen S, Yang Y, Peng Z, et al, Adaptive chirp mode pursuit: Algorithm and applications, Mechanical Systems and Signal Processing, 2018. and the paper: Chen S, Wang K, Peng Z, et al, Generalized dispersive mode decomposition: Algorithm and applications, Journal of Sound and Vibration, 2021. Some of the scripts are adopted from the paper: Chen S, Dong X, Peng Z, et al, Nonlinear Chirp Mode Decomposition: A Variational Method, IEEE Transactions on Signal Processing, 2017. and the paper: Wang H, Chen S, Zhai W, Data-driven adaptive chirp mode decomposition with application to machine fault diagnosis under non-stationary conditions, Mechanical Systems and Signal Processing, 2023.

It is a novel method to simultaneously characterize dispersive signals (or transient signals) and chirp signals.

Copyright (c) belongs to the authors of the papers. An acknowledgment for the codes and the citations about the papers above should be included in the publications as long as the codes are used.

Contact Information:

Dr. Shiqian Chen

State Key Laboratory of Rail Transit Vehicle System

Southwest Jiaotong University

Chengdu, 610031

P.R. China

Email: [e-mail]

Mr. Hongbing Wang

State Key Laboratory of Rail Transit Vehicle System

Southwest Jiaotong University

Chengdu, 610031

P.R. China

Email: [e-mail]