Question

The FT of a rectangular pulse existing between t = − T 2/ to t = T / 2 is a

(a) Sinc squared function

(b) Sinc function

(c) Sine squared function

(d) Sine function

This question was posed to me in an online interview.

My question is from The z- and s-Domain Relationship topic in section Digital Control Systems of Control Systems

Answer 1

Right choice is (b) Sinc function

The best I can explain: By definition the Fourier transform is the transformation of time domain of signal to frequency domain and that of a rectangular pulse is a sinc function.