GO Electrical

0 votes

Let $f(t)$ be continuous time signal and let $F(w)$be its Fourier Transform defined by

$F(\omega )=\int_{-\infty }^{\infty }f(t)e^{-jwt} dt$

define $g(t)$ by

$g(t)=\int_{-\infty }^{\infty }f(u)e^{-jut} dt$

What is the relationship between $f(t)$ and $g(t)$ ?

- $g(t)$ would always be proportional to $f(t)$.
- $g(t)$ would be proportional to $f(t)$ if $f(t)$ is an even function.
- $g(t)$ would be proportional to $f(t)$ only if $f(t)$ is a sinusoidal function.
- $g(t)$ would never be proportional to $f(t)$.

847 questions

37 answers

10 comments

26,032 users