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If x(t) is given by figure shown below
Then its Fourier transform is—
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- None of these
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Correct Option: B
X(t) = | ![]() | δ(t – kT) |
To determine the Fourier transform of this signal, we first compute its Fourier series coefficients, defined by

ak = | ![]() | t/2 | δ(t) e–jkω0t dt | -t/2 |
where,
ω0 = | |
T |
ak = | |
T |
The Fourier transform of given function is a linear combination of impulses equally spaced in frequency, i.e.
X(jω) = | ![]() | 2π ak.δ(ω – kω0) |
or
X(jω) = | ![]() | 2π.(1/T){δω – k(2π/1)} |
or
X(jω) = (2π/T) | ![]() | δ{ω -(2πk/1)} |
→ As shown below

Hence, alternative (B) is the correct choice.