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Math Help - 2D Fourier transform

  1. #1
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    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 )

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  2. #2
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    Quote Originally Posted by lavian View Post
    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 )
    \mu(x,y) is seperable so you can write \mu(x,y)=\eta(x) \nu(y).

    Then:

    (\mathcal{F}_2 \mu)(u,v) = (\mathcal{F}\eta)(u) (\mathcal{F}\nu)(v)

    RonL
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  3. #3
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    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".
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  4. #4
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    Quote Originally Posted by lavian View Post
    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".
    u and v are the two special frequency variables coresponding to the x and y variables.

    I don't know what you thing \mu(x) and \mu(y) mean \mu is a function of
    two variables.

    RonL
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