Hi the inverse fourier transform of
1/(alpha+jw) is u(t)exp(-alpha x t)
but what if there is some term with jw like 1/(1+.5jw)
how it will be catered
I could not see such example in any fourier transform table
Plz guide me
Hi the inverse fourier transform of
1/(alpha+jw) is u(t)exp(-alpha x t)
but what if there is some term with jw like 1/(1+.5jw)
how it will be catered
I could not see such example in any fourier transform table
Plz guide me
Just build the fraction by multiplying by $\displaystyle \frac{2}{2}$
$\displaystyle \frac{1}{1+.5jw}=\frac{2}{2}\cdot \frac{1}{1+.5jw}=\frac{2}{2+jw}$
Just remember that the inversve transform is linear so
$\displaystyle F^{-1}\left( \frac{2}{2+jw} \right) =2F^{-1}\left( \frac{1}{2+jw} \right) $