generating a random periodic function with bounded amplitude and bounded
fourier coefficients
I would like to generate a random periodic function $f(x)$ with period $T$
such that $|f(x)| \leq M$ and the kth Fourier coefficient $|A_k| \leq
g(k)$ for a given $g(k)$.
I realize this is kind of open-ended (I'm not giving any information about
probability distributions), but is there any way to go about doing this in
a way that makes sense?
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