Topic: Networks, Signals and Systems
Which is the identity for convolution operation?
- A. 1
- B. 0
- C. impulse $\delta(n)$
- D. unit step $u(n)$
Answer: C. impulse $\delta(n)$
Explanation: The convolution of any discrete-time signal $x(n)$ with the unit impulse function $\delta(n)$ results in the original signal $x(n)$ itself, i.e., $x(n) * \delta(n) = x(n)$. Therefore, the impulse function is the identity element for the convolution operation.