Add a trend to a process

In this example we are going to add a trend to a process.

The TrendTransform class enables to create a new process Y from a process X (no hypothesis on X needed):

from __future__ import print_function
import openturns as ot
import openturns.viewer as viewer
from matplotlib import pylab as plt
import math as m
ot.Log.Show(ot.Log.NONE)

Create a process

grid = ot.RegularGrid(0.0, 0.1, 10)
amplitude = [5.0]
scale = [0.2]
covModel = ot.ExponentialModel(scale, amplitude)
X = ot.GaussianProcess(covModel, grid)

Draw a sample

sample = X.getSample(6)
sample.setName('X')
graph = sample.drawMarginal(0)
view = viewer.View(graph)

Define a trend function

f = ot.SymbolicFunction(['t'], ['30*t'])
fTrend = ot.TrendTransform(f, grid)

Add it to the process

Y = ot.CompositeProcess(fTrend, X)
Y.setName('Y')

Draw a sample

sample = Y.getSample(6)
sample.setName('Y')
graph = sample.drawMarginal(0)
view = viewer.View(graph)
plt.show()