modeling cyclical time series processes

Hello,

I am interested in creating graphs of stochastic processes with either python or R, but not really sure how. The resources I'm finding appear to be using pre-existing datasets to construct the time series graphs. I want to do it with functions.

e.g.,

Yt=a*cos(t)+b*sin(t), t =1 ,..., T,

where a and b are two uncorrelated random variables with mean zero and common variance.

Yes, this particular process is from a problem set, but the question is not to create …

datascience modeling processes time time series