Outage Probability
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Information theory Information theory is the scientific study of the quantification (science), quantification, computer data storage, storage, and telecommunication, communication of information. The field was originally established by the works of Harry Nyquist a ...
, outage probability of a communication channel is the probability that a given information rate is not supported, because of variable channel capacity. Outage probability is defined as the probability that information rate is less than the required threshold information rate. It is the probability that an outage will occur within a specified time period.


Slow-fading channel

For example, the channel capacity for slow-
fading channel In wireless communications, fading is variation of the attenuation of a signal with various variables. These variables include time, geographical position, and radio frequency. Fading is often modeled as a random process. A fading channel is a ...
is ''C'' = log2(1 + ''h''2 SNR), where ''h'' is the fading coefficient and SNR is a signal to noise ratio without fading. As ''C'' is random, no constant rate is available. There may be a chance that information rate may go below to required threshold level. For slow fading channel, outage probability = P(''C'' < ''r'') = P(log2(1 + ''h''2 SNR) < ''r''), where ''r'' is the required threshold information rate.


See also

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Shannon–Hartley theorem In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified bandwidth in the presence of noise. It is an application of the noisy-channel coding ...
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Fading channel In wireless communications, fading is variation of the attenuation of a signal with various variables. These variables include time, geographical position, and radio frequency. Fading is often modeled as a random process. A fading channel is a ...


References

Information theory {{science-stub