Saved Bookmarks
| 1. |
A discrete-time signal x[n] = sin(π2n), n being an integer, is(A) periodic with period π.(B) periodic with period π2.(C) periodic with period π/2.(D) not periodic |
|
Answer» Correct option (D) not periodic Explanation: Assume x [n] to be periodic, (with period N) ⇒ x[n] = x [n + N] ⇒ sin(π2n) = sin(π2(n + N)) Every frigonometric function repeate after 2π interval. ⇒ 2πk = π2N ⇒ N = (2k/π) Since ‘k’ is any integer, there is no possible value of ‘k’ for which ‘N’ can be an integer, thus non-periodic. |
|