Generate Gassian Colored Noise

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S. David 2014-5-23

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https://ww2.mathworks.cn/matlabcentral/answers/130861-generate-gassian-colored-noise

编辑： S. David 2014-5-24

Hello all,

Is there any built-in function in MATLAB to generate a Gaussian noise with a specific covariance matrix R (colored noise), not necessarily the identity matrix (white noise)?

Thanks

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Matt J 2014-5-23

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https://ww2.mathworks.cn/matlabcentral/answers/130861-generate-gassian-colored-noise#answer_138029

编辑：Matt J 2014-5-23

在 MATLAB Online 中打开

There's MVRND, if you have the Stats Toolbox.

Otherwise, you can just do

sqrtm(R)*randn(size(R,2),1);

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Matt J 2014-5-24

编辑：Matt J 2014-5-24

If R is close to singular, it can be mis-perceived as having some negative eigenvalues (and hence as not being psd) due to numerical imprecision.

However, if your R is close to singular, it really means you're taking the covariance of have some redundant variables - some of them are approximately linear combinations of the others - and should get rid of them.

S. David 2014-5-24

编辑：S. David 2014-5-24

I have two matrices, and I found the eigenvalue of both of them: one of them has all positive eigenvalues, but the other has some negative eigenvalues. I guess the second one is close to singular as you said. But even when I try the first one in mvrand(Mu,Sigma), I still get the same error.

For the matrix with negative eigenvalues, how to eliminate the redundant variables?

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