Temporal whitening with AR model¶

# Authors: Alexandre Gramfort <alexandre.gramfort@telecom-paristech.fr>
#
# License: BSD (3-clause)

import numpy as np
from scipy import signal
import matplotlib.pyplot as plt

import mne
from mne.time_frequency import fit_iir_model_raw
from mne.datasets import sample

print(__doc__)

data_path = sample.data_path()

raw_fname = data_path + '/MEG/sample/sample_audvis_raw.fif'
proj_fname = data_path + '/MEG/sample/sample_audvis_ecg-proj.fif'

raw = mne.io.read_raw_fif(raw_fname)
proj = mne.read_proj(proj_fname)
raw.info['projs'] += proj
raw.info['bads'] = ['MEG 2443', 'EEG 053']  # mark bad channels

# Set up pick list: Gradiometers - bad channels
picks = mne.pick_types(raw.info, meg='grad', exclude='bads')

order = 5  # define model order
picks = picks[:1]

# Estimate AR models on raw data
b, a = fit_iir_model_raw(raw, order=order, picks=picks, tmin=60, tmax=180)
d, times = raw[0, 10000:20000]  # look at one channel from now on
d = d.ravel()  # make flat vector
innovation = signal.convolve(d, a, 'valid')
d_ = signal.lfilter(b, a, innovation)  # regenerate the signal
d_ = np.r_[d_[0] * np.ones(order), d_]  # dummy samples to keep signal length