Question

Find the Fourier transform of sinc(t).

(a) Gπ (ω)

(b) G2π (ω)

(c) \(G_{\frac{π}{2}}\) (ω)

(d) Gπ (-ω)

This question was posed to me in examination.

The origin of the question is Properties of Fourier Transforms in chapter Fourier Transform of Signals and Systems

Answer 1

Correct choice is (b) G2π (ω)

Easy explanation: Using duality property, X(t) ↔ 2πx(-ω)

We get sinc(t) ↔ G2π (ω).