EEG and Brain Connectivity: A Tutorial - Bio-Medical Instruments, Inc.

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Fig. 36 – Example of a constant 1 st derivative when different frequencies do not change their phase relationship over time.
Fig. 37 – Example of a measure of cross-frequency phase synchrony which is defined as maximal when the 2 nd derivative of the phase difference time series = 0 or the average 2 nd derivative approximates zero. The lower the average 2 nd derivative then the greater is cross-frequency phase synchrony or n:m phase synchrony. Figure 38 summarizes the important relationship between crossfrequency phase locking <strong>and</strong> the constant phase differences <strong>and</strong> the 2 nd derivative = 0.
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(unpublished manuscript - Version 1
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29- Definition of the Cross Channel
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possible and this is why the cospec
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is because there are relatively lon
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Fig. 1 - Illustration of volume con
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Fig. 3- Example of cospectrum (in-p
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coefficient is a valid and importan
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Eq. 1- r = ∑ N ∑ N ( X ( X −
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Fig. 5 - Comparisons between the Br
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to a Pearson product-moment correla
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constitute the basis for all spectr
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The frequency analysis of a time se
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That is, the cross-spectrum power i
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Demo). 11- Third Compute Coherence
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100 90 80 70 60 50 40 30 20 10 0 0
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frame” of consciousness (Thatcher
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Fig. 9 - Various degrees and types
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Fig. 10 - Illustrations of phase re
Page 37 and 38: when the 1 st derivative of the pha
Page 39 and 40: Fig. 13 shows an example of two 10
Page 41 and 42: Figure 15 - The x-axis are differen
Page 43 and 44: Fig - 16. Top is coherence (y-axis)
Page 45 and 46: Coherence inflation is defined as a
Page 47 and 48: time over which the average is comp
Page 49 and 50: Nonetheless, “instantaneous” ph
Page 51 and 52: Example of conventional digital EEG
Page 53 and 54: score; 2- Simplification by providi
Page 55 and 56: the brain. The integration of QEEG
Page 57 and 58: Multiple frequencies and multiple m
Page 59 and 60: Example of one of the progress char
Page 61 and 62: advantage of imaging of non-cortica
Page 63 and 64: where n is the number of observatio
Page 65 and 66: Fig. 22 - Illustration of phase str
Page 67 and 68: measure of the area under the curve
Page 69 and 70: Fig. 24 - Top is filtered EEG at 25
Page 71 and 72: Fig. 26 - Top is the spontaneous EE
Page 73 and 74: 27- How to compute Auto-channel Cro
Page 75 and 76: 30- Cross-Channel Cross-Frequency C
Page 77 and 78: degrees or radians and is “normal
Page 79 and 80: exhibits statistically significant
Page 81 and 82: www.appliedneuroscience.com 37 - Co
Page 83 and 84: elationships as defined by the phas
Page 85 and 86: Fig. 33 - Example of phase differen
Page 87: Fig. 35 - Example of 4 different fr
Page 91 and 92: Fig. 39- Illustration of how cross-
Page 93 and 94: Fig. 41- Example of cross-frequency
Page 95 and 96: Gray, C.M., Konig, P., Engle, A.K.
Page 97 and 98: localization and functional connect
Page 99 and 100: 35 - 48, 2007. Thatcher, R.W., Bive
Page 101 and 102: Cannon, R., Lubar, J., Sokhadze, E.
Page 103 and 104: Lubar, J., Congedo, M. and Askew, J
Page 105 and 106: Yoo, S. S. et al. Increasing cortic
Page 107 and 108: F and likewise, F iω0t iϕ t [ y e
Page 109 and 110: 6- Phase Delay or phase difference
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