Examples of deterministic processes of quadratic variation which are of unbounded variation

In [Föllmer 81] (English translation to be found here) writes: "The class of processes of quadratic variation is clearly larger than the class of semimartingales: Just consider a deterministic process of quadratic variation which is of unbounded variation."

Could anyone please give me examples (with references) of deterministic processes of quadratic variation which are of unbounded variation? Thank you!

(P.S.: What seems to make these deterministic processes interesting is that you also have to use Ito integrals to integrate them)

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Could you please let me know why you downvoted that question! Thank you! – vonjd May 25 '10 at 6:03

Take $f:[0,1]\to\mathbb{R}$ such that $f(0)=0$ and it interpolates linearly between $f(1/n)=\frac{(-1)^n}{n}$ for any natural $n$.