complex gaussian noise generation

how can i generate a complex gaussian noise with zero mean and some variance in matlab?

Answer 1

[Harsh]

Hi Jetty,

The “randn” function in MATLAB generates random numbers drawn from a standard normal distribution (Gaussian distribution) with a mean of 0 and a variance of 1. You can use it to create Gaussian noise and scale it to the desired variance or mean.

Below is an example code to generate a complex gaussian noise with zero mean and specific variance.

N = 1000;        % Number of samples 
variance = 2; % Variance 

% Generate real and imaginary parts of the noise 
realPart = sqrt(variance/2) * randn(N, 1); % Gaussian with zero mean and variance/2 
imagPart = sqrt(variance/2) * randn(N, 1); % Gaussian with zero mean and variance/2 

% Combine to form complex Gaussian noise 
complexNoise = realPart + 1j * imagPart; 

% Verify properties 
disp(['Mean: ', num2str(mean(complexNoise))]);
disp(['Variance: ', num2str(var(complexNoise))]); 

Refer to the following documentation to understand more about “randn” function - https://www.mathworks.com/help/matlab/ref/randn.html