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Coherence intervals are relatively local events, so many coherence intervals may co-occur at different locations in the brain.
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The parameter g k models the geometric attenuation and shadow fading, which is assumed to be independent over transmit antenna and to be constant over many coherence time intervals.
Assume that the number of concerned coherence intervals is N c.
The conclusion in Theorem 1 is independent of coherence interval length T and number of concerned coherence intervals N c.
Furthermore, the channel vectors are assumed to be constant during the coherence time and change independently in different coherence intervals.
Since h k changes over coherence intervals, without loss of generality, we take the communication between the BS and users in a coherence interval as an example for deeper analysis.
At last, it is assumed that the BS has the knowledge of the channel state information (CSI), which is kept constant during the coherence time and changes independently in different coherence intervals.
Both factors relate coherence intervals directly to the amount of stimulus information.
These episodes have been denoted "coherence intervals" (van Leeuwen and Bakker 1995; van Leeuwen 2007).
Because the slowest process determines length of the coherence intervals, the intervals are expected to have an extreme value distribution.
We also found that the onsets and offsets of coherence intervals were associated with the time course of stimulus presentation.
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