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Signals and systems electrical engineering miscellaneous

  1. The determine-time Fourier-coefficients X[k] for
    will be
    1. 1
      (δ[k - 6] + δ[k - 4] + δ[k + 6] + δ[k + 4])
      3
    2. 1
      (δ[k - 6] + δ[k - 4] - δ[k + 6] - δ[k + 4])
      3
    3. 1
      cos
      2πk
      - cos
      πk
      - cos
      πk
      + 1
      6323
    4. 1
      sin
      2πk
      - sin
      πk
      - sin
      πk
      + 1
      6323
Correct Option: C

The graph for x[n] is shown in the figure.


=
1
cos
2πk
-
1
cos
πk
+
1
cos
πk
+
1
6362636



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