Question

Consider the following statements:
1. When a white noise is applied as input to an $LTI$ system, the output will be also a white noise.
2. The auto-correlation function of a stationary periodic random process is also periodic with same period.
Which of the above statements is/are correct?

• A. $2$ Only
• B. $1$ Only
• C. Both $1$ and $2$
• D. Neither $1$ and $2$

Answer 1

The correct option is A $2$ Only

When a white noise is as input to an $LTI$ system, the output need to not be a white noise.