Question

If G( f) represents the Fourier Transform of a signal g (t) which is real and odd symmetric in time, then G (f) is

(a) Complex

(b) Imaginary

(c) Real

(d) Real and non-negative

This question was posed to me during an interview.

This interesting question is from The z- and s-Domain Relationship in chapter Digital Control Systems of Control Systems

Answer 1

Correct option is (b) Imaginary

The best I can explain: For the real and odd symmetric signal in time domain on the Fourier transform the resulting signal is always imaginary.