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Definition of Ergodic: A stochastic process is ergodic if no sample helps meaningfully to predict values that are very far away in time from that sample.
- Ergodic channel
* The channel gain process is ergodic, i.e., the time average is equal to the ensemble average. In other words, the randomness of the channel gain can be averaged out (removed) over time. So long-term constant bit rates can be supported.
- Non-ergodic channel
* The channel gain is a random variable and does not change with time. The channel gain process is stationary but not ergodic, i.e., the time average is not equal to the ensemble average. In other words, the randomness of the channel gain can not be averaged out (removed) over time. So long-term constant bit rates can not be supported
Ergosic and quasi-static are different. In the quasi-static case the shannon capacity does not exist. THey have to use the outage capacity instead while in the ergodic channel, the shannon capacity is well define since the shannon capacity is the average concept. Hence, the channel must be varied in some senses. To make thing simple...
Ergodic capacity -> you get a number as a capacity such as 10 bps/Hz
Quasi-static capacity -> you get a cdf/ccdf plot of the capacity and you get only a probability to communicate at a given rate.
Ergosic and quasi-static are different. In the quasi-static case the shannon capacity does not exist. THey have to use the outage capacity instead while in the ergodic channel, the shannon capacity is well define since the shannon capacity is the average concept. Hence, the channel must be varied in some senses. To make thing simple...
Ergodic capacity -> you get a number as a capacity such as 10 bps/Hz
Quasi-static capacity -> you get a cdf/ccdf plot of the capacity and you get only a probability to communicate at a given rate.
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