how do I add gaussian white noise with 0 mean and 1 std?
MATLAB: Adding gaussian white noise to data
agwnautoregressivedatagaussian white noiserandnsignal
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Try this:
% Make sample data.
x = linspace(0, 3*pi, 640);period = 2*pi;y = cos(2 * pi * x / period); % Noise-free signal.
% Noise is 5% of the signal value at each location,
% which means sigma is not a constant at each location.
amplitudes = y * 0.05;noise = amplitudes .* randn(1, length(y));% Add the noise to the noise-free signal.
yNoisy = y + noise;% Plot everything.
plot(x, yNoisy, 'r.', 'MarkerSize', 8);hold on;plot(x, y, 'b-', 'LineWidth', 2);grid on;
See my attached demos.
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