rand(1) returns one pseudo random number between 0 and 1 correct? (I don't know matlab myself but I know what you can do with the random number)
Use the Box-Muller transform.
This transform says is U1 and U2 are two independent uniform random variables on 0, 1, i.e., Ui ~ U(0,1), then
z1 = sqrt(-2 * log(U1)) * sin(2πU2)
z2 = sqrt(-2 * log(U1)) * cos(2πU2)
where z1 and z2 are both standard normal random variables.
And log is the natural log.
forgive my syntax here, but like I said, I don't know matlab. But these couple lines should help you generate normal random variables X1 and X2 with mean μ andstandard deviation σ.
mu = 5; //enter the mean you want or need
sigma = 3; //enter the standard deviation you want or need
u1 = rand(1);
u2 = rand(2);
z1 = sqrt(-2 * Log[u1]) * Sin[2 *pi * u2];
z2 = sqrt(-2 * Log[u1]) * Cos[2 * pi * u2];
x1 = mu + z1 * sigma;
x2 = mu + z2 * sigma;
http://www.taygeta.com/random/gaussian.html
