MATLAB: Random Gaussian variable distribution

gaussiangaussian distributionrandomvariablevariance

Does matlab has a specific command to denote a zero mean non-Complex Gaussian random variable with unit variance ? Or does anyone can help me by giving me the appropriate code for this ?

Any help could be useful. Thanks in advance!

Best Answer

If you want normally-distributed random numbers with zero mean and unit variance (and therefore unit standard deviation), use the randn function:

N01 = randn(1,10);

This will generate a 10-element row vector with zero mean and unit variance.

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MATLAB: Gaussian Distribution

This is really just plotting an equation, for practical purpose, you can plot from -4*sd to 4*sd. Let's say mu is the mean,

x = linspace(-4*sd,4*sd,1000);
y = 1/(2*pi*sd)*exp(-(x-mu).^2/(2*sd^2));
plot(x,y);

MATLAB: Gaussian distribution with randn

If you want to generate Gaussian distribution with the given mean and variance (not std), and then extract the values in [min max] range, the following code can do it.

va = 0.02;
mu = 0.126;
ul = 0.146;
ll = 0.106;
x = mu + randn(20000,1)*sqrt(va); % Generate sufficient random numbers
idx = (ll <= x) & (x <= ul); % Extract the value in the given range [min max]
x = x(idx);
x = x(1:1300); % Extract 1300 numbers

Best Answer

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MATLAB: Gaussian Distribution

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