gaussian distribution and matrix

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francesco
francesco 2016년 9월 12일
답변: Gautham Sholingar 2016년 9월 20일
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.

답변 (1개)

Gautham Sholingar
Gautham Sholingar 2016년 9월 20일
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:

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