what is the fourier transform of this term

[sazan]

what is the fourier transform of this term:

X(f)=∫(1/(pi*t))exp(-jwt) dt


thanks

sa

 

[Ahmed Alaa]

Do you want the fourier of 1/t ?

 

[Tamas888]

(ln x )' ---> 1 /t ??

 

[iamaeag]

what is the fourier transform of this term:

X(f)=∫(1/(pi*t))exp(-jwt) dt


thanks

sa

Do you mean this?

X(w)=∫(1/(pi*t))exp(-jwt) dt=ln(w)/pi

(indefinite integral ).

 

[_Eduardo_]

The Fourier transform of 1/(pi*t) is (i sgn(w))/sqrt(2 pi) ; sgn(w) is the sign of w

fourier 1/(pi t) - Wolfram|Alpha