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Signals and systems electrical engineering miscellaneous

  1. Which of the following cannot be the Fourier series expansion of a periodic signal?
    1. x(t) = 2cos t + 3 cos 3t
    2. x(t) = 2cos πt + 7 cos t
    3. x(t) = cos t + 0.5
    4. x(t) = 2cos 1.5πt + sin 3.5πt
Correct Option: B

x(t) = 2cos πt + 7 cost, does not satisfy the Dirichlet condition, therefore, it can't be expanded as Fourier series.



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