RyanA1084
Mar13-04, 10:34 AM
Hi all, I had this problem for homework and it stumped me. It's too late to get points for it, but I'd like to know for future reference. I posted in the homework help forum but figured I'd try here too.
Find the Fourier transform F(w)=integral from -infinity to infinity of f(t)e^(i*w*t)dt
f(t)=e^(-t^2/a^2)
i=sqrt(-1) w=omega=constant a=constant
This looks sort of like a gaussian integral:
integral of e^(-a*x^2)dx=sqrt(pi/a)
but I couldn't see how to do it...
The answer given by the book is sqrt(pi)ae^(-a^2*w^2/4)
Anyone know how to do this??
Find the Fourier transform F(w)=integral from -infinity to infinity of f(t)e^(i*w*t)dt
f(t)=e^(-t^2/a^2)
i=sqrt(-1) w=omega=constant a=constant
This looks sort of like a gaussian integral:
integral of e^(-a*x^2)dx=sqrt(pi/a)
but I couldn't see how to do it...
The answer given by the book is sqrt(pi)ae^(-a^2*w^2/4)
Anyone know how to do this??