Guess the Periodic Signal Question
Suppose a DT singal satisfies the following properties:
1. x[n] is periodic with period 4 and has Fourier coefficients $ \,a_k\, $.
2. $ \,\sum_{n=0}^{3}x[n]=4\, $
3. The Fourier coefficients $ \,a_1\, $ and $ \,a_3\, $ are equal.
4. $ \,a_1\, $ is maximal while $ \,a_2\, $ is non-negative.
5. The value of the signal at $ \,n=0\, $ is zero.
