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Empirical Wavelet Transofrm (EWT) algorithm

Project description

Empirical Wavelet Transform Python package

Original paper: Gilles, J., 2013. Empirical Wavelet Transform. IEEE Transactions on Signal Processing, 61(16), pp.3999–4010. Available at: http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=6522142.
Original Matlab toolbox: https://www.mathworks.com/matlabcentral/fileexchange/42141-empirical-wavelet-transforms

ewtpy performs the Empirical Wavelet Transform of a 1D signal over N scales. Main function is EWT1D:

ewt, mfb ,boundaries = EWT1D(f, N = 5, log = 0,detect = "locmax", completion = 0, reg = 'average', lengthFilter = 10,sigmaFilter = 5)
Other functions include:
EWT_Boundaries_Detect
EWT_Boundaries_Completion
EWT_Meyer_FilterBank
EWT_beta
EWT_Meyer_Wavelet
LocalMax
LocalMaxMin

Some functionalities from J.Gilles' MATLAB toolbox have not been implemented, such as EWT of 2D inputs, preprocessing, adaptive/ScaleSpace boundaries_detect.

The Example folder contains test signals and scripts

Installation

  1. Dowload the project from https://github.com/vrcarva/vmdpy, then run "python setup.py install" from the project folder

OR

  1. pip install ewtpy

Citation and Contact

If you find this package useful, we kindly ask you to cite it in your work.
Vinicius Carvalho (2019-), Empirical Wavelet Transform in Python

A paper will soon be submitted and linked here.

@author: Vinícius Rezende Carvalho Programa de pós graduação em engenharia elétrica - PPGEE UFMG Universidade Federal de Minas Gerais - Belo Horizonte, Brazil Núcleo de Neurociências - NNC

Any questions, comments, suggestions and/or corrections, please get in contact with vrcarva@ufmg.br

Example script

#%% Example script
import numpy as np
import matplotlib.pyplot as plt
import ewtpy

T = 1000
t = np.arange(1,T+1)/T
f = np.cos(2*np.pi*0.8*t) + 2*np.cos(2*np.pi*10*t)+0.8*np.cos(2*np.pi*100*t)
ewt,  mfb ,boundaries = ewtpy.EWT1D(f, N = 3)
plt.plot(f)
plt.plot(ewt)

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