Data Science Asked by gurluk on November 27, 2020
I am trying to generate a complex Gaussian white noise, with zero mean and the covariance matrix of them is going to be a specific matrix which is assumed to be given.
Assume i to be a point on the grid of x axis, where there are N points on the axis. The problem is to generate a complex valued random noise at each point (let’s call the random value at the point i as $y_i$), which obeys Gaussian distribution and has a covariance matrix of,
$E((y_i)(y_j^*)) = c_{ij}$
where $c_{ij}$ is a given diagonal NxN matrix. * is complex conjugate, E represents the expectation value.
I am trying to generate this on Python.
Might be a bit late, but if you're still looking for an answer, here it is. You can use np.random.multivariate_normal
. You need to provide the said covariance matrix as an argument to the function. You can find the documentation here.
Answered by learner on November 27, 2020
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