1.

If x(t) ↔ X(f) denotes a Fourier transform (FT) pair, \(\Pi \left(\dfrac{t}{T}\right)\) denotes a rectangular pulse of width T and '⋆' denotes the convolution operation, then the FT of the signal \(x(t)=\Pi \left(\dfrac{t}{T}\right) * \Pi \left(\dfrac{t}{T}\right)\) is

A. T2 sinc2 (fT)
B. -j sgn (fT)
C. \(T^2 e^{-(F/T)^2}\)
D. T sinc (2fT)
Answer» B. -j sgn (fT)


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