Let ƒ(t) be a continuous time signal and let F(ω)

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Let ƒ(t) be a continuous time signal and let F(ω) be its Fourier Transform defined by

What is the relationship between ƒ(t) and g(t)?

1. g(t) would always be proportional to ƒ(t)
2. g(t) would be proportional to ƒ(t) if ƒ(t) is an even function
3. g(t) would be proportional to ƒ(t) only if ƒ(t) is a sinusoidal function
4. g(t) would never be proportional to ƒ(t)

Correct Option: B

The relation of time domain with frequency domain is given by fourier transform.