Communication Systems - Engineering

Q1:

Which of the following statement is false?

A A stationary process is always a ergodic process

B A ergodic process is always a stationary random process

C It is possible to have a stationary random

D None of the above

ANS:B - A ergodic process is always a stationary random process

The ergodic process is a process where ensemble average equals algebraic averages and the algebraic average is constant (does not vary with time) therefore every stationary process (especially WSS) is always an Ergodic process as such processes have mean and autocorrelation functions constant wrt to shift in time.