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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-negativeThis 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

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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.



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