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

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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

I have been asked this question during an interview.

Question is taken from Discrete Fourier Transform topic in chapter Fourier Transform of Signals and Systems

1 Answer

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Right answer is (b) Imaginary

The best explanation: Fourier transform of g (t) is G (f)

Given that, g (t) is real, odd and symmetric with respect to time.

∴G*(jm) = – G(jm); G(jm) purely imaginary.

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