Communication System - GATE practice papers - Electronics & Communication for Q. 537

Q.  When can a random process is said to be an ergodic process? (Marks : 01)
- Published on 19 Oct 15

a. Only when time averages are less than the ensemble averages
b. Only when time averages are equal to the ensemble averages
c. Only when time averages are greater than the ensemble averages
d. none of the above

ANSWER: Only when time averages are equal to the ensemble averages
 
Random Processes can be generally and completely specified on the basis of ensemble and the time statistics since only PDFs are insufficient to describe them completely.
So, any random process possessing the time averages exactly equal to averages [Probability Distribution Factor PDF (fx(t) (x)] which are derived from ensemble, then it is said to be an ergodic process.

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