Which of the following cannot be the Fourier series expansion of a periodic signal? - Communication Systems

Electronics and Communication Engineering (ECE) : Communication Systems - Quiz(MCQ)

Which of the following cannot be the Fourier series expansion of a periodic signal?

A)

x(t) = cos t + 0.5

B)

x(t) = 2 cos t + 3 cos 3t

C)

x(t) = 2 cos pt + 7 cos t

D)

x(t) = 2 cos 1.5pt + sin 3.5 pt

Correct Answer : Option (A) : x(t) = cos t + 0.5

Explanation : x(t) = cos t + 0.5

not satisfies the Dirichlet condition.

The integration of constant term is ∞.

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