Exact(3)
Here we plot Eq. (4), where we inserted the analytically calculated coherence function Eq. (46) and integrated numerically.
At the frequency of the cross-spectrum maximum between HFnu and delta signals, f NREM-REM, we calculated coherence, gain, phase shift and the delay values between the fluctuations in HFnu and the fluctuations in the delta power band.
For each participant, we also conducted a nonparametric permutation analysis in which we calculated coherence for 5000 random pairings of acoustic envelopes with neural data; based on the distribution of values obtained through these random pairings, we were able to determine the chance of obtaining coherence values for the true pairing.
Similar(57)
A useful alternative method is to calculate coherence between single units and LFP (Fries et al., 2002; Baker et al., 2003; Soteropoulos & Baker, 2006).
As 240 epoch data were used for calculating coherence in this study, 95% confidence limit was 0.0125, which was indicated with a grey horizontal line in each coherence plot.
Then, according to Eq. (6), we calculated the coherence change threshold at each pixel.
We calculated the coherence between sniff and the hippocampal LFP, using NeuroSpec (Halliday et al., 1995), version 2.0 for MATLAB.
Procedure for estimating this threshold from on-line measurements of the shaft's random vibrations at a constant rotation speed is outlined based on the calculating coherence function of lateral displacements in two perpendicular directions for the case of transverse vibrations and that of tilting angles about two perpendicular axes for the case of tilting oscillations.
In order to investigate cross-frequency interactions we have developed a tool calculating coherence between a low frequency signal and the time-course of the power at higher frequencies.
When we calculate corticomuscular coherence for such a system, the coherence phase should be linearly related to frequency, with a slope equal to 2 π radians times the delay.
For frontal coherence analysis, we calculated and plotted coherence between electrodes F7 and F8, based on analyses using these electrodes in adult studies (Akeju et al., 2014c).
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