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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. | + | 4. <math>\,a_1\,</math> is maximal while <math>\,a_2\,</math> is non-negative. |
| − | 5. | + | 5. The value of the signal at <math>\,n=0\,</math> is zero. |
| + | |||
| + | |||
| + | == Answer == | ||
Revision as of 19:02, 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. $ \,a_1\, $ is maximal while $ \,a_2\, $ is non-negative.
5. The value of the signal at $ \,n=0\, $ is zero.
