Time averages and Ergodicity                                                                                                     Print this page
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Ergodicity Principle

If the time averages converge to the corresponding ensemble averages in the probabilistic sense, then a time-average computed from a large realization can be used as the value for the corresponding ensemble average. Such a principle is the ergodicity principle to be discussed below:

Mean ergodic process

A WSS process is said to be ergodic in mean, if as . Thus for a mean ergodic process,

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