How to implement white noise with a time component?

Hello, I want to try to implement white noise with a duration of 500 seconds and at the time step delta T every 10 ms the a value should be chosen from a gaussian distribution with mean 0 and variance 2.

I implemented it in the following way: n = 50000 %(I changed the seconds to ms and divided this value by 10ms) N = rand(0,2,n,1)

Howevery I am not sure about whether I correclty integrated the time aspect of the 10 ms correctly. I was also thinking about a for loop, but I am sure. Does anyone have further suggestions?

Thanks in advance!

Answer 1

[Andrei Bobrov]

as well so? (EDIT)

n = 50000;
N = 0 + sqrt(2)*randn(n,1);
N = normrnd(0,sqrt(2),n,1)

Answer 2

[Ann Brain]

Thanks for this reply. I actually used normrnd instead of rand.

However I am not sure if I implemented the delta T component correctly, would you have done it the same way?

[Andrei Bobrov]

I think yes