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The determine-time Fourier-coefficients X[k] for
X[n] = 2sin 
4π n 
+ cos 4π n + 1 will be 19 19
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- jδ[k + 2] + jδ[k - 2] + 1 + [k + 5] + 1 δ[k - 5] + δ [k] 2 2 -
- jδ[k + 2] + jδ[k - 2] + 1 + [k + 5] + 1 δ[k - 5] + 1 2 2 -
- jδ[k - 2] + jδ[k + 2] + 1 + [k - 5] + 1 δ[k + 5] + δ[k] 2 2 - None of these
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Correct Option: C
| x[n] = 2 sin | | n | | + cos | | n | | + 1 | ||
| 19 | 19 |
| = | | ej(4π/19)n - e-j(4π/19)n | | + | | ej(10π/19)n - e-j(10π/19)n | | + 1 | ||
| j | 2 |
