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3D Dirac impulse, 3D fft, multidimensional matrices

3D Dirac impulse, 3D fft, multidimensional matrices

3D Dirac impulse, 3D fft, multidimensional matrices

(OP)
Hello everybody!
I have a big huge problem... it is all about mathematics.. and MATLAB!
the thing is that I have an an equation:

D(kx,ky,w)=F[delta(t-dt)]

where:
D(kx,ky,w) is a 3D matrix which is called the distorsion.
F[ ] is a 3D Fourier Transform delta( ) is an impulse function is 3D dt is the impulse that is function of x and y as follow:
xx=[0:100];
yy=1-xx;
tt=something, but I don't know what
[x,y,t]=meshgrid(xx,yy,tt);
dt=atan2(y,x);

I have a 3 dimensions matrix for the delta function:
delta = zeros(101, 101, 101);
My problem is that for each combination of xx and yy, I have a dt corresponding to it. That means that I have a 2 dimensions dt.
Now, I would like to do delta(x,y,dt)=10^30, that is an impulse! I know it must be kind of easy but I don't know what to do.. I must be real close, I guess. Does anyone have a suggestion for me please?
Thanks in advance!

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