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

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- Nov 13th 2011, 05:03 AMmoonnightingaleInverse fourier Transform of 1/(1+.5jw)
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 - Nov 21st 2011, 10:30 AMTheEmptySetRe: Inverse fourier Transform of 1/(1+.5jw)
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) $