How to generate complex additive white Gaussian noise with the mean 0 and variance of σ^2 .

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ANJANA K P
ANJANA K P 2020-10-28
编辑： Parag 2025-3-7
Hi ,
I'm looking forward to generate the noise vector n ∼ CN(0,σ^2IN), where IN is the identity matrix of N*N.

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Parag
Parag 2025-3-7
编辑：Parag 2025-3-7
Ran in:
Hi, you can generate noise vector n∼CN(0,σIN) in MATLAB using the following approach:
N = 10; % Size of the noise vector
sigma = 1; % Standard deviation (sqrt of variance)
% Generate complex Gaussian noise
n = (randn(N,1) + 1j * randn(N,1)) * (sigma / sqrt(2));
% Verify mean and variance
mean_n = mean(n)
mean_n = -0.1446 - 0.0488i
var_n = var(n)
var_n = 0.6349

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