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The determine-time Fourier-coefficients X[k] for
will be
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1 (δ[k - 6] + δ[k - 4] + δ[k + 6] + δ[k + 4]) 3 -
1 (δ[k - 6] + δ[k - 4] - δ[k + 6] - δ[k + 4]) 3 -
1 cos 2πk - cos πk - cos πk + 1 6 3 2 3 -
1 sin 2πk - sin πk - sin πk + 1 6 3 2 3
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Correct Option: C
The graph for x[n] is shown in the figure.
= | cos | ![]() | ![]() | - | cos | ![]() | ![]() | + | cos | ![]() | ![]() | + | |||||||
6 | 3 | 6 | 2 | 6 | 3 | 6 |