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3. The Fourier coefficients <math>\,a_1\,</math> and <math>\,a_3\,</math> are equal. | 3. The Fourier coefficients <math>\,a_1\,</math> and <math>\,a_3\,</math> are equal. | ||
| − | 4. The value of the signal at <math>\, | + | 4. The value of the signal at <math>\,n=0\,</math> is zero. |
5. Bleck!? | 5. Bleck!? | ||
Revision as of 18:52, 25 September 2008
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. The value of the signal at $ \,n=0\, $ is zero.
5. Bleck!?
