eemd method

Note:Only for MacOS

Part I: Install EEMD packages

  1. Install Anaconda
    • Create a new environment, e.g., EEMD_ENV
    • Use terminal in EEMD_ENV
  2. Install gcc, make, pkg-config, and gsl by using the terminal:
    • conda install -y gcc pkg-config gsl

  3. Install Git:
    • sudo port install git

  4. Clone repos:
  5. Compile libeemd:
    • cd libeemd

    • make

    • cd ..

  6. Install pyeemd:
    • cd pyeemd

    • python setup.py install

  7. Copy libeemd files
    • Find out which the pyeemd install folder is, e.g., “~/anaconda/envs/EEMD_ENV/lib/python2.7/site-packages/pyeemd-1.4-py2.7.egg/pyeemd”
    • Copy “eemd.h”, “libeemd.a”, “libeemd.so”, and “libeemd.so.1.4.1” to pyeemd install folder.
  8. Finish

Part II: Examples

Taking an example of global temperature time-series

import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import statsmodels.api as sm
import pyeemd

url = 'https://data.giss.nasa.gov/gistemp/graphs/graph_data/Global_Mean_Estimates_based_on_Land_and_Ocean_Data/graph.csv';

data = pd.read_csv(url,skiprows=1)

year = data['Year']
tmp = data['No_Smoothing']
tmp = np.array(tmp)

X = sm.add_constant(year)
model = sm.OLS(tmp, X).fit()
predictions = model.predict(X)

imfs = pyeemd.eemd(tmp)

fig = plt.figure() 
ax = fig.add_subplot(111)
plt.plot(year, tmp)
eemd_lin = plt.plot(year, imfs[-1,:],label='EEMD')
reg_lin = plt.plot(year, predictions,label='Linear')

plt.legend()
plt.xlim([1879,2017])

trend_eemd = (imfs[-1,-1]-imfs[-1,0])/137.0*100.0
trend_linear = (predictions[134]-predictions[0])/137.0*100.0

plt.text(0.3,0.9, np.str(np.round(trend_eemd,3))+' $^o$C/100a'
         ,  transform=ax.transAxes
         , color = eemd_lin[0].get_color())
plt.text(0.3,0.85, np.str(np.round(trend_linear,3))+' $^o$C/100a'
         ,  transform=ax.transAxes
         , color = reg_lin[0].get_color())

plt.savefig('test.png',dpi=326)

plt.close()

Example Figure:

Part III: Q&A