How to generate the circularly symmetric Gaussian with matlab?

How to generate the circularly symmetric Gaussian with matlab? I need a random unitary matrix and I want to svd the circularly symmetric Gaussian then get the unitary matrix. is that possible? and how to generate the circularly symmetric Gaussian??? Thank you~~

Answer 1

[bym]

if you have the Image Processing Toolbox you can use

h = fspecial('gaussian',10,4) %adjust parameters to suit

[steven]

Thank u! When I use your suggestion and get a 4 by 4 matrix and then apply the svd, the 'unitary' become more 'unitary'! Actually, i tried

a=fspecial('gaussian',4,4)

b=fspecial('gaussian',4,4)

c=a+1i*b

[s v d]=svd(c)

Then I check the d by using

d*(conj(d'))

The result should be identity, but it is not so perfect~

So,

1, Is there any parameter I can change about the 'Gaussian', such as zero mean?

2, Can you give me some suggestion on Gaussian complex random unitary matrix?

Thank u so much~and thanks for your answer.

[bym]

I am afraid I'm probably not the best person to address your additional questions. Perhaps increasing the size of your matrix would help. Good luck...