I graduated in 1990 in Electrical Engineering and since then I have been in university, doing research in the field of DSP. To me programming is more a tool than a job.
It turns out also in DSP, it is a classical example of use of z-trasform for beginners. Actually, the exact form has two terms: phi above and 1/phi and the n-th term is something like C*(phin +1/phin ) (more or less, I am going by memory and I am too lazy now to do the computation... ;-)). Of course, since 1/phi is smaller than one, 1/phin goes rapidly to zero and you get a wonderful approximation with only phin already for small n.
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It turns out also in DSP, it is a classical example of use of z-trasform for beginners. Actually, the exact form has two terms: phi above and 1/phi and the n-th term is something like C*(phin +1/phin ) (more or less, I am going by memory and I am too lazy now to do the computation... ;-)). Of course, since 1/phi is smaller than one, 1/phin goes rapidly to zero and you get a wonderful approximation with only phin already for small n.