Thread: 2D Fourier transform

how can I find the 2D FT for this problem

μ

(x, y) =1/a exp(− pi x^2a^2 )1/b exp(− pi y^2b^2 )

Originally Posted by lavian

how can I find the 2D FT for this problem


μ

(x, y) =1/a exp(− pi x^2a^2 )1/b exp(− pi y^2b^2 )

is seperable so you can write .

Then:

RonL

thanks CaptainBlack
but I am stil confused
Do you mean I should find the FT of μ(x) and FT of μ(y) and then multiply them together
I do not know from where you get the variable "u".

Originally Posted by lavian

thanks CaptainBlack
but I am stil confused
Do you mean I should find the FT of μ(x) and FT of μ(y) and then multiply them together
I do not know from where you get the variable "u".

and are the two special frequency variables coresponding to the and variables.

I don't know what you thing and mean is a function of
two variables.

RonL