TIFR ECE 2011 | Question: 19

Question

Let $R_{X}(\tau)$ be the autocorrelation function of a zero mean stationary random process $X(t)$. Which of following statements is FALSE.

• A. If $R_{X}(\tau)=0, \forall \tau, X(n)$ and $X(m), n \neq m$ are independent.
• B. $R_{X}(\tau)=R_{X}(-\tau)$.
• C. $R_{X}(0)=E\left[X^{2}\right]$, where $E$ denotes the expectation.
• D. $R_{X}(0) \geq R_{X}(\tau), \forall \tau.$
• E. None of the above.