gaussian distribution and matrix

hi! I have a matrix with components of modulus 1 and phase different each other. how can I add a gaussian component on each element? thank you. the result that I want is a matrix with Rice factor. thank you in advance.

Answer 1

[Gautham Sholingar]

Hello Francesco,

I am assuming that you want to create a matrix of random numbers with a Gaussian distribution and then multiply each element in your original matrix with this random number matrix in an element-wise fashion.

>> inputData = rand(5,5)

The following command creates a normal distribution with zero mean and unit standard deviation of the same size as your inputData matrix

>> gaussMatrix = random('normal',0,1,size(inputData))

gaussMatrix =

   -2.4557    0.5294    0.3643   -0.3102   -0.2547
   -0.0911   -2.2171   -0.7637   -0.6199   -0.5477
   -0.0247    0.1074    0.5495   -1.0246    1.6766
    0.1999    0.4389   -0.3746    0.5050    1.1730
   -1.0383   -0.0410   -1.6592    0.0405   -0.1891

Then you can use the .* operator to perform elementwise multiplication|

>> result = inputData.*gaussMatrix

result =

   -0.6985    0.2113    0.1796   -0.0686   -0.0498
   -0.0670   -0.1158   -0.1693   -0.0595   -0.4903
   -0.0102    0.0614    0.5162   -0.0616    1.1473
    0.1657    0.3282   -0.1807    0.4139    0.7705
   -0.9709   -0.0131   -0.8959    0.0312   -0.1872

If your query is related to the use of any other types of data distribution, please refer to the following MATLAB documentation:

http://www.mathworks.com/help/stats/random.html