Simulating wind direction signal on all time scales

Hi everybody. I am reposting a question of a few years ago, because it is becoming of interest for me again.

I am confronted wiht the need to simulate the signal coming from a wind vane, possibly including short and long term variation. This means for me from a time scale around 0.1 - 0.2 sec until 1-10 hours.

Does anybody know some algoritmic way to do this?

Could it be a good idea to take the direction simulated by TurbSim and add a long term variation? but how would the long term look like?

I am finding no literature on the subject. Any help would be appreciated.

Best regards & thanks