Question

Which statement is correct about ergodic process?

(a) ensemble and time averages are different

(b) ensemble and time averages are opposite to each other

(c) ensemble and time averages are identical

(d) ensemble average are exactly twice of time averages

I had been asked this question during an internship interview.

This intriguing question originated from FM Receiver in portion Receivers & Transducers of Analog Communications

Answer 1

Correct choice is (c) ensemble and time averages are identical

For explanation I would say: A stochastic process is said to be ergodic if its properties can be reduced from a single. A non ergodic process changes erratically at an inconsistent rate. Ergodic process exists if many random signals have identical time and ensemble averages.