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Channel capacity
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===Slow-fading channel=== In a [[fading|slow-fading channel]], where the coherence time is greater than the latency requirement, there is no definite capacity as the maximum rate of reliable communications supported by the channel, <math>\log_2 (1+|h|^2 SNR)</math>, depends on the random channel gain <math>|h|^2</math>, which is unknown to the transmitter. If the transmitter encodes data at rate <math>R</math> [bits/s/Hz], there is a non-zero probability that the decoding error probability cannot be made arbitrarily small, :<math>p_{out}=\mathbb{P}(\log(1+|h|^2 SNR)<R)</math>, in which case the system is said to be in outage. With a non-zero probability that the channel is in deep fade, the capacity of the slow-fading channel in strict sense is zero. However, it is possible to determine the largest value of <math>R</math> such that the outage probability <math>p_{out}</math> is less than <math>\epsilon</math>. This value is known as the <math>\epsilon</math>-outage capacity.
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