Suppose, for example, that we intend to simulate the Weberull distribution of speckle noise to simulate the SAR image. I'm looking for detailed instructions from MATLAB to do this.
If you use a vector signal, which I believe you do for simulating the SAR image, the Weibull noise or any other compound Gaussian distribution can not be generated by simple Matlab functions for a scalar random variables. The most robust method to simulate a compound Gaussian random vector is to use the spherical invariant random process (SIRP), especially if you want to impose a correlation matrix.