Note
Go to the end to download the full example code
Compute a cross-spectral density (CSD) matrix#
A cross-spectral density (CSD) matrix is similar to a covariance matrix, but in the time-frequency domain. It is the first step towards computing sensor-to-sensor coherence or a DICS beamformer.
This script demonstrates the three methods that MNE-Python provides to compute the CSD:
Using short-term Fourier transform:
mne.time_frequency.csd_fourier()
Using a multitaper approach:
mne.time_frequency.csd_multitaper()
Using Morlet wavelets:
mne.time_frequency.csd_morlet()
# Author: Marijn van Vliet <w.m.vanvliet@gmail.com>
# License: BSD-3-Clause
import mne
from mne.datasets import sample
from mne.time_frequency import csd_fourier, csd_multitaper, csd_morlet
print(__doc__)
In the following example, the computation of the CSD matrices can be
performed using multiple cores. Set n_jobs
to a value >1 to select the
number of cores to use.
n_jobs = 1
Loading the sample dataset.
data_path = sample.data_path()
meg_path = data_path / "MEG" / "sample"
fname_raw = meg_path / "sample_audvis_raw.fif"
fname_event = meg_path / "sample_audvis_raw-eve.fif"
raw = mne.io.read_raw_fif(fname_raw)
events = mne.read_events(fname_event)
Opening raw data file /home/circleci/mne_data/MNE-sample-data/MEG/sample/sample_audvis_raw.fif...
Read a total of 3 projection items:
PCA-v1 (1 x 102) idle
PCA-v2 (1 x 102) idle
PCA-v3 (1 x 102) idle
Range : 25800 ... 192599 = 42.956 ... 320.670 secs
Ready.
By default, CSD matrices are computed using all MEG/EEG channels. When interpreting a CSD matrix with mixed sensor types, be aware that the measurement units, and thus the scalings, differ across sensors. In this example, for speed and clarity, we select a single channel type: gradiometers.
picks = mne.pick_types(raw.info, meg="grad")
# Make some epochs, based on events with trigger code 1
epochs = mne.Epochs(
raw,
events,
event_id=1,
tmin=-0.2,
tmax=1,
picks=picks,
baseline=(None, 0),
reject=dict(grad=4000e-13),
preload=True,
)
Not setting metadata
72 matching events found
Setting baseline interval to [-0.19979521315838786, 0.0] s
Applying baseline correction (mode: mean)
3 projection items activated
Loading data for 72 events and 722 original time points ...
0 bad epochs dropped
Computing CSD matrices using short-term Fourier transform and (adaptive) multitapers is straightforward:
csd_fft = csd_fourier(epochs, fmin=15, fmax=20, n_jobs=n_jobs)
csd_mt = csd_multitaper(epochs, fmin=15, fmax=20, adaptive=True, n_jobs=n_jobs)
Removing projector <Projection | PCA-v1, active : True, n_channels : 102>
Removing projector <Projection | PCA-v2, active : True, n_channels : 102>
Removing projector <Projection | PCA-v3, active : True, n_channels : 102>
Computing cross-spectral density from epochs...
0%| | CSD epoch blocks : 0/72 [00:00<?, ?it/s]
1%|1 | CSD epoch blocks : 1/72 [00:00<00:03, 19.78it/s]
3%|2 | CSD epoch blocks : 2/72 [00:00<00:02, 29.18it/s]
4%|4 | CSD epoch blocks : 3/72 [00:00<00:01, 35.69it/s]
6%|5 | CSD epoch blocks : 4/72 [00:00<00:01, 37.18it/s]
7%|6 | CSD epoch blocks : 5/72 [00:00<00:01, 38.20it/s]
8%|8 | CSD epoch blocks : 6/72 [00:00<00:01, 39.55it/s]
10%|9 | CSD epoch blocks : 7/72 [00:00<00:01, 41.94it/s]
11%|#1 | CSD epoch blocks : 8/72 [00:00<00:01, 43.64it/s]
12%|#2 | CSD epoch blocks : 9/72 [00:00<00:01, 43.52it/s]
14%|#3 | CSD epoch blocks : 10/72 [00:00<00:01, 43.43it/s]
15%|#5 | CSD epoch blocks : 11/72 [00:00<00:01, 43.09it/s]
17%|#6 | CSD epoch blocks : 12/72 [00:00<00:01, 44.42it/s]
18%|#8 | CSD epoch blocks : 13/72 [00:00<00:01, 45.65it/s]
19%|#9 | CSD epoch blocks : 14/72 [00:00<00:01, 46.77it/s]
21%|## | CSD epoch blocks : 15/72 [00:00<00:01, 47.65it/s]
22%|##2 | CSD epoch blocks : 16/72 [00:00<00:01, 48.51it/s]
24%|##3 | CSD epoch blocks : 17/72 [00:00<00:01, 49.23it/s]
25%|##5 | CSD epoch blocks : 18/72 [00:00<00:01, 50.03it/s]
26%|##6 | CSD epoch blocks : 19/72 [00:00<00:01, 50.66it/s]
28%|##7 | CSD epoch blocks : 20/72 [00:00<00:01, 51.24it/s]
29%|##9 | CSD epoch blocks : 21/72 [00:00<00:00, 51.75it/s]
31%|### | CSD epoch blocks : 22/72 [00:00<00:00, 52.24it/s]
32%|###1 | CSD epoch blocks : 23/72 [00:00<00:00, 52.72it/s]
33%|###3 | CSD epoch blocks : 24/72 [00:00<00:00, 53.20it/s]
35%|###4 | CSD epoch blocks : 25/72 [00:00<00:00, 53.70it/s]
36%|###6 | CSD epoch blocks : 26/72 [00:00<00:00, 54.01it/s]
38%|###7 | CSD epoch blocks : 27/72 [00:00<00:00, 54.33it/s]
39%|###8 | CSD epoch blocks : 28/72 [00:00<00:00, 54.59it/s]
40%|#### | CSD epoch blocks : 29/72 [00:00<00:00, 54.87it/s]
42%|####1 | CSD epoch blocks : 30/72 [00:00<00:00, 55.17it/s]
43%|####3 | CSD epoch blocks : 31/72 [00:00<00:00, 55.53it/s]
44%|####4 | CSD epoch blocks : 32/72 [00:00<00:00, 55.67it/s]
46%|####5 | CSD epoch blocks : 33/72 [00:00<00:00, 55.89it/s]
47%|####7 | CSD epoch blocks : 34/72 [00:00<00:00, 56.08it/s]
49%|####8 | CSD epoch blocks : 35/72 [00:00<00:00, 56.22it/s]
50%|##### | CSD epoch blocks : 36/72 [00:00<00:00, 56.40it/s]
51%|#####1 | CSD epoch blocks : 37/72 [00:00<00:00, 56.69it/s]
53%|#####2 | CSD epoch blocks : 38/72 [00:00<00:00, 56.78it/s]
54%|#####4 | CSD epoch blocks : 39/72 [00:00<00:00, 57.00it/s]
56%|#####5 | CSD epoch blocks : 40/72 [00:00<00:00, 57.11it/s]
57%|#####6 | CSD epoch blocks : 41/72 [00:00<00:00, 57.20it/s]
58%|#####8 | CSD epoch blocks : 42/72 [00:00<00:00, 57.34it/s]
60%|#####9 | CSD epoch blocks : 43/72 [00:00<00:00, 57.44it/s]
61%|######1 | CSD epoch blocks : 44/72 [00:00<00:00, 57.57it/s]
62%|######2 | CSD epoch blocks : 45/72 [00:00<00:00, 57.68it/s]
64%|######3 | CSD epoch blocks : 46/72 [00:00<00:00, 57.81it/s]
65%|######5 | CSD epoch blocks : 47/72 [00:00<00:00, 57.91it/s]
67%|######6 | CSD epoch blocks : 48/72 [00:00<00:00, 57.93it/s]
68%|######8 | CSD epoch blocks : 49/72 [00:00<00:00, 57.93it/s]
69%|######9 | CSD epoch blocks : 50/72 [00:00<00:00, 57.92it/s]
71%|####### | CSD epoch blocks : 51/72 [00:00<00:00, 57.96it/s]
72%|#######2 | CSD epoch blocks : 52/72 [00:00<00:00, 57.97it/s]
74%|#######3 | CSD epoch blocks : 53/72 [00:00<00:00, 57.68it/s]
75%|#######5 | CSD epoch blocks : 54/72 [00:00<00:00, 57.67it/s]
76%|#######6 | CSD epoch blocks : 55/72 [00:01<00:00, 57.68it/s]
78%|#######7 | CSD epoch blocks : 56/72 [00:01<00:00, 57.70it/s]
79%|#######9 | CSD epoch blocks : 57/72 [00:01<00:00, 57.75it/s]
81%|######## | CSD epoch blocks : 58/72 [00:01<00:00, 57.81it/s]
82%|########1 | CSD epoch blocks : 59/72 [00:01<00:00, 57.74it/s]
83%|########3 | CSD epoch blocks : 60/72 [00:01<00:00, 57.80it/s]
85%|########4 | CSD epoch blocks : 61/72 [00:01<00:00, 57.69it/s]
86%|########6 | CSD epoch blocks : 62/72 [00:01<00:00, 57.56it/s]
88%|########7 | CSD epoch blocks : 63/72 [00:01<00:00, 57.65it/s]
89%|########8 | CSD epoch blocks : 64/72 [00:01<00:00, 57.48it/s]
90%|######### | CSD epoch blocks : 65/72 [00:01<00:00, 57.02it/s]
92%|#########1| CSD epoch blocks : 66/72 [00:01<00:00, 56.23it/s]
93%|#########3| CSD epoch blocks : 67/72 [00:01<00:00, 56.05it/s]
94%|#########4| CSD epoch blocks : 68/72 [00:01<00:00, 56.14it/s]
96%|#########5| CSD epoch blocks : 69/72 [00:01<00:00, 56.08it/s]
97%|#########7| CSD epoch blocks : 70/72 [00:01<00:00, 56.02it/s]
99%|#########8| CSD epoch blocks : 71/72 [00:01<00:00, 55.55it/s]
100%|##########| CSD epoch blocks : 72/72 [00:01<00:00, 55.49it/s]
100%|##########| CSD epoch blocks : 72/72 [00:01<00:00, 54.71it/s]
[done]
Removing projector <Projection | PCA-v1, active : True, n_channels : 102>
Removing projector <Projection | PCA-v2, active : True, n_channels : 102>
Removing projector <Projection | PCA-v3, active : True, n_channels : 102>
Using multitaper spectrum estimation with 7 DPSS windows
Computing cross-spectral density from epochs...
0%| | CSD epoch blocks : 0/72 [00:00<?, ?it/s]
1%|1 | CSD epoch blocks : 1/72 [00:00<00:16, 4.34it/s]
3%|2 | CSD epoch blocks : 2/72 [00:00<00:13, 5.33it/s]
4%|4 | CSD epoch blocks : 3/72 [00:00<00:12, 5.70it/s]
6%|5 | CSD epoch blocks : 4/72 [00:00<00:11, 5.95it/s]
7%|6 | CSD epoch blocks : 5/72 [00:00<00:10, 6.13it/s]
8%|8 | CSD epoch blocks : 6/72 [00:00<00:10, 6.22it/s]
10%|9 | CSD epoch blocks : 7/72 [00:01<00:10, 6.28it/s]
11%|#1 | CSD epoch blocks : 8/72 [00:01<00:10, 6.30it/s]
12%|#2 | CSD epoch blocks : 9/72 [00:01<00:09, 6.35it/s]
14%|#3 | CSD epoch blocks : 10/72 [00:01<00:09, 6.32it/s]
15%|#5 | CSD epoch blocks : 11/72 [00:01<00:09, 6.30it/s]
17%|#6 | CSD epoch blocks : 12/72 [00:01<00:09, 6.33it/s]
18%|#8 | CSD epoch blocks : 13/72 [00:02<00:09, 6.20it/s]
19%|#9 | CSD epoch blocks : 14/72 [00:02<00:09, 6.21it/s]
21%|## | CSD epoch blocks : 15/72 [00:02<00:09, 6.12it/s]
22%|##2 | CSD epoch blocks : 16/72 [00:02<00:09, 6.18it/s]
24%|##3 | CSD epoch blocks : 17/72 [00:02<00:08, 6.21it/s]
25%|##5 | CSD epoch blocks : 18/72 [00:02<00:08, 6.24it/s]
26%|##6 | CSD epoch blocks : 19/72 [00:03<00:08, 6.26it/s]
28%|##7 | CSD epoch blocks : 20/72 [00:03<00:08, 6.27it/s]
29%|##9 | CSD epoch blocks : 21/72 [00:03<00:08, 6.27it/s]
31%|### | CSD epoch blocks : 22/72 [00:03<00:07, 6.30it/s]
32%|###1 | CSD epoch blocks : 23/72 [00:03<00:07, 6.30it/s]
33%|###3 | CSD epoch blocks : 24/72 [00:03<00:07, 6.20it/s]
35%|###4 | CSD epoch blocks : 25/72 [00:04<00:07, 6.22it/s]
36%|###6 | CSD epoch blocks : 26/72 [00:04<00:07, 6.25it/s]
38%|###7 | CSD epoch blocks : 27/72 [00:04<00:07, 6.25it/s]
39%|###8 | CSD epoch blocks : 28/72 [00:04<00:07, 6.27it/s]
40%|#### | CSD epoch blocks : 29/72 [00:04<00:06, 6.29it/s]
42%|####1 | CSD epoch blocks : 30/72 [00:04<00:06, 6.30it/s]
43%|####3 | CSD epoch blocks : 31/72 [00:04<00:06, 6.32it/s]
44%|####4 | CSD epoch blocks : 32/72 [00:05<00:06, 6.33it/s]
46%|####5 | CSD epoch blocks : 33/72 [00:05<00:06, 6.37it/s]
47%|####7 | CSD epoch blocks : 34/72 [00:05<00:05, 6.39it/s]
49%|####8 | CSD epoch blocks : 35/72 [00:05<00:05, 6.42it/s]
50%|##### | CSD epoch blocks : 36/72 [00:05<00:05, 6.42it/s]
51%|#####1 | CSD epoch blocks : 37/72 [00:05<00:05, 6.44it/s]
53%|#####2 | CSD epoch blocks : 38/72 [00:05<00:05, 6.43it/s]
54%|#####4 | CSD epoch blocks : 39/72 [00:06<00:05, 6.44it/s]
56%|#####5 | CSD epoch blocks : 40/72 [00:06<00:04, 6.46it/s]
57%|#####6 | CSD epoch blocks : 41/72 [00:06<00:04, 6.45it/s]
58%|#####8 | CSD epoch blocks : 42/72 [00:06<00:04, 6.46it/s]
60%|#####9 | CSD epoch blocks : 43/72 [00:06<00:04, 6.47it/s]
61%|######1 | CSD epoch blocks : 44/72 [00:06<00:04, 6.47it/s]
62%|######2 | CSD epoch blocks : 45/72 [00:07<00:04, 6.48it/s]
64%|######3 | CSD epoch blocks : 46/72 [00:07<00:03, 6.51it/s]
65%|######5 | CSD epoch blocks : 47/72 [00:07<00:03, 6.52it/s]
67%|######6 | CSD epoch blocks : 48/72 [00:07<00:03, 6.54it/s]
68%|######8 | CSD epoch blocks : 49/72 [00:07<00:03, 6.56it/s]
69%|######9 | CSD epoch blocks : 50/72 [00:07<00:03, 6.57it/s]
71%|####### | CSD epoch blocks : 51/72 [00:07<00:03, 6.59it/s]
72%|#######2 | CSD epoch blocks : 52/72 [00:08<00:03, 6.60it/s]
74%|#######3 | CSD epoch blocks : 53/72 [00:08<00:02, 6.61it/s]
75%|#######5 | CSD epoch blocks : 54/72 [00:08<00:02, 6.62it/s]
76%|#######6 | CSD epoch blocks : 55/72 [00:08<00:02, 6.64it/s]
78%|#######7 | CSD epoch blocks : 56/72 [00:08<00:02, 6.65it/s]
79%|#######9 | CSD epoch blocks : 57/72 [00:08<00:02, 6.66it/s]
81%|######## | CSD epoch blocks : 58/72 [00:08<00:02, 6.67it/s]
82%|########1 | CSD epoch blocks : 59/72 [00:09<00:01, 6.68it/s]
83%|########3 | CSD epoch blocks : 60/72 [00:09<00:01, 6.69it/s]
85%|########4 | CSD epoch blocks : 61/72 [00:09<00:01, 6.70it/s]
86%|########6 | CSD epoch blocks : 62/72 [00:09<00:01, 6.71it/s]
88%|########7 | CSD epoch blocks : 63/72 [00:09<00:01, 6.72it/s]
89%|########8 | CSD epoch blocks : 64/72 [00:09<00:01, 6.73it/s]
90%|######### | CSD epoch blocks : 65/72 [00:09<00:01, 6.74it/s]
92%|#########1| CSD epoch blocks : 66/72 [00:10<00:00, 6.75it/s]
93%|#########3| CSD epoch blocks : 67/72 [00:10<00:00, 6.75it/s]
94%|#########4| CSD epoch blocks : 68/72 [00:10<00:00, 6.77it/s]
96%|#########5| CSD epoch blocks : 69/72 [00:10<00:00, 6.77it/s]
97%|#########7| CSD epoch blocks : 70/72 [00:10<00:00, 6.78it/s]
99%|#########8| CSD epoch blocks : 71/72 [00:10<00:00, 6.78it/s]
100%|##########| CSD epoch blocks : 72/72 [00:10<00:00, 6.79it/s]
100%|##########| CSD epoch blocks : 72/72 [00:10<00:00, 6.56it/s]
[done]
When computing the CSD with Morlet wavelets, you specify the exact frequencies at which to compute it. For each frequency, a corresponding wavelet will be constructed and convolved with the signal, resulting in a time-frequency decomposition.
The CSD is constructed by computing the correlation between the
time-frequency representations between all sensor-to-sensor pairs. The
time-frequency decomposition originally has the same sampling rate as the
signal, in our case ~600Hz. This means the decomposition is over-specified in
time and we may not need to use all samples during our CSD computation, just
enough to get a reliable correlation statistic. By specifying decim=10
,
we use every 10th sample, which will greatly speed up the computation and
will have a minimal effect on the CSD.
frequencies = [16, 17, 18, 19, 20]
csd_wav = csd_morlet(epochs, frequencies, decim=10, n_jobs=n_jobs)
Removing projector <Projection | PCA-v1, active : True, n_channels : 102>
Removing projector <Projection | PCA-v2, active : True, n_channels : 102>
Removing projector <Projection | PCA-v3, active : True, n_channels : 102>
Computing cross-spectral density from epochs...
0%| | CSD epoch blocks : 0/72 [00:00<?, ?it/s]
1%|1 | CSD epoch blocks : 1/72 [00:00<00:06, 10.33it/s]
3%|2 | CSD epoch blocks : 2/72 [00:00<00:05, 12.16it/s]
4%|4 | CSD epoch blocks : 3/72 [00:00<00:05, 12.87it/s]
6%|5 | CSD epoch blocks : 4/72 [00:00<00:05, 13.29it/s]
7%|6 | CSD epoch blocks : 5/72 [00:00<00:04, 13.47it/s]
8%|8 | CSD epoch blocks : 6/72 [00:00<00:04, 13.65it/s]
10%|9 | CSD epoch blocks : 7/72 [00:00<00:04, 13.77it/s]
11%|#1 | CSD epoch blocks : 8/72 [00:00<00:04, 13.86it/s]
12%|#2 | CSD epoch blocks : 9/72 [00:00<00:04, 13.95it/s]
14%|#3 | CSD epoch blocks : 10/72 [00:00<00:04, 13.99it/s]
15%|#5 | CSD epoch blocks : 11/72 [00:00<00:04, 14.03it/s]
17%|#6 | CSD epoch blocks : 12/72 [00:00<00:04, 14.07it/s]
18%|#8 | CSD epoch blocks : 13/72 [00:00<00:04, 14.10it/s]
19%|#9 | CSD epoch blocks : 14/72 [00:00<00:04, 14.11it/s]
21%|## | CSD epoch blocks : 15/72 [00:01<00:04, 14.14it/s]
22%|##2 | CSD epoch blocks : 16/72 [00:01<00:03, 14.17it/s]
24%|##3 | CSD epoch blocks : 17/72 [00:01<00:03, 14.19it/s]
25%|##5 | CSD epoch blocks : 18/72 [00:01<00:03, 14.23it/s]
26%|##6 | CSD epoch blocks : 19/72 [00:01<00:03, 14.26it/s]
28%|##7 | CSD epoch blocks : 20/72 [00:01<00:03, 14.27it/s]
29%|##9 | CSD epoch blocks : 21/72 [00:01<00:03, 14.31it/s]
31%|### | CSD epoch blocks : 22/72 [00:01<00:03, 14.35it/s]
32%|###1 | CSD epoch blocks : 23/72 [00:01<00:03, 14.35it/s]
33%|###3 | CSD epoch blocks : 24/72 [00:01<00:03, 14.37it/s]
35%|###4 | CSD epoch blocks : 25/72 [00:01<00:03, 14.40it/s]
36%|###6 | CSD epoch blocks : 26/72 [00:01<00:03, 14.42it/s]
38%|###7 | CSD epoch blocks : 27/72 [00:01<00:03, 14.42it/s]
39%|###8 | CSD epoch blocks : 28/72 [00:01<00:03, 14.44it/s]
40%|#### | CSD epoch blocks : 29/72 [00:02<00:02, 14.44it/s]
42%|####1 | CSD epoch blocks : 30/72 [00:02<00:02, 14.44it/s]
43%|####3 | CSD epoch blocks : 31/72 [00:02<00:02, 14.46it/s]
44%|####4 | CSD epoch blocks : 32/72 [00:02<00:02, 14.47it/s]
46%|####5 | CSD epoch blocks : 33/72 [00:02<00:02, 14.47it/s]
47%|####7 | CSD epoch blocks : 34/72 [00:02<00:02, 14.48it/s]
49%|####8 | CSD epoch blocks : 35/72 [00:02<00:02, 14.49it/s]
50%|##### | CSD epoch blocks : 36/72 [00:02<00:02, 14.50it/s]
51%|#####1 | CSD epoch blocks : 37/72 [00:02<00:02, 14.50it/s]
53%|#####2 | CSD epoch blocks : 38/72 [00:02<00:02, 14.52it/s]
54%|#####4 | CSD epoch blocks : 39/72 [00:02<00:02, 14.50it/s]
56%|#####5 | CSD epoch blocks : 40/72 [00:02<00:02, 14.51it/s]
57%|#####6 | CSD epoch blocks : 41/72 [00:02<00:02, 14.51it/s]
58%|#####8 | CSD epoch blocks : 42/72 [00:02<00:02, 14.50it/s]
60%|#####9 | CSD epoch blocks : 43/72 [00:02<00:01, 14.50it/s]
61%|######1 | CSD epoch blocks : 44/72 [00:03<00:01, 14.51it/s]
62%|######2 | CSD epoch blocks : 45/72 [00:03<00:01, 14.52it/s]
64%|######3 | CSD epoch blocks : 46/72 [00:03<00:01, 14.54it/s]
65%|######5 | CSD epoch blocks : 47/72 [00:03<00:01, 14.55it/s]
67%|######6 | CSD epoch blocks : 48/72 [00:03<00:01, 14.55it/s]
68%|######8 | CSD epoch blocks : 49/72 [00:03<00:01, 14.55it/s]
69%|######9 | CSD epoch blocks : 50/72 [00:03<00:01, 14.55it/s]
71%|####### | CSD epoch blocks : 51/72 [00:03<00:01, 14.56it/s]
72%|#######2 | CSD epoch blocks : 52/72 [00:03<00:01, 14.56it/s]
74%|#######3 | CSD epoch blocks : 53/72 [00:03<00:01, 14.57it/s]
75%|#######5 | CSD epoch blocks : 54/72 [00:03<00:01, 14.56it/s]
76%|#######6 | CSD epoch blocks : 55/72 [00:03<00:01, 14.56it/s]
78%|#######7 | CSD epoch blocks : 56/72 [00:03<00:01, 14.56it/s]
79%|#######9 | CSD epoch blocks : 57/72 [00:03<00:01, 14.56it/s]
81%|######## | CSD epoch blocks : 58/72 [00:04<00:00, 14.56it/s]
82%|########1 | CSD epoch blocks : 59/72 [00:04<00:00, 14.56it/s]
83%|########3 | CSD epoch blocks : 60/72 [00:04<00:00, 14.57it/s]
85%|########4 | CSD epoch blocks : 61/72 [00:04<00:00, 14.58it/s]
86%|########6 | CSD epoch blocks : 62/72 [00:04<00:00, 14.58it/s]
88%|########7 | CSD epoch blocks : 63/72 [00:04<00:00, 14.58it/s]
89%|########8 | CSD epoch blocks : 64/72 [00:04<00:00, 14.57it/s]
90%|######### | CSD epoch blocks : 65/72 [00:04<00:00, 14.55it/s]
92%|#########1| CSD epoch blocks : 66/72 [00:04<00:00, 14.55it/s]
93%|#########3| CSD epoch blocks : 67/72 [00:04<00:00, 14.53it/s]
94%|#########4| CSD epoch blocks : 68/72 [00:04<00:00, 14.53it/s]
96%|#########5| CSD epoch blocks : 69/72 [00:04<00:00, 14.53it/s]
97%|#########7| CSD epoch blocks : 70/72 [00:04<00:00, 14.54it/s]
99%|#########8| CSD epoch blocks : 71/72 [00:04<00:00, 14.54it/s]
100%|##########| CSD epoch blocks : 72/72 [00:04<00:00, 14.54it/s]
100%|##########| CSD epoch blocks : 72/72 [00:04<00:00, 14.46it/s]
[done]
The resulting mne.time_frequency.CrossSpectralDensity
objects have a
plotting function we can use to compare the results of the different methods.
We’re plotting the mean CSD across frequencies.
mne.time_frequency.CrossSpectralDensity.plot()
returns a list of
created figures; in this case, each returned list has only one figure
so we use a Python trick of including a comma after our variable name
to assign the figure (not the list) to our fig
variable:
Total running time of the script: ( 0 minutes 22.672 seconds)
Estimated memory usage: 133 MB