[R] time series periodic data
Rolf Turner
r.turner at auckland.ac.nz
Wed Aug 15 22:12:15 CEST 2007
On 16/08/2007, at 12:26 AM, Petr PIKAL wrote:
> Dear all
>
> Please help me with analysis of some periodic data.
>
> I have an output from measurement each minute and this output is
> modulated
> by rotation of the equipment (approx 6.5 min/revolution). I can easily
> spot this frequency from
>
> spectrum(mydata, some suitable span)
>
> However from other analysis I suspect there is a longer term
> oscilation
> (about 70-80 min) I am not able to find it from mentioned data.
>
> Plese give me some hint how I could prove that such long term
> modulation
> of my data exist in presence of quite strong modulation by this
> short term
> oscilations.
You may be able to get some mileage out of complex demodulation
(at, say, frequencies of 1/70, 1/71, ..., 1/80 cycles per minute).
See Peter Bloomfield's book (``Fourier Analysis of Time Series: An
Introduction'',
2nd ed., Wiley, 2000) for a good introduction to complex demodulation.
cheers,
Rolf Turner
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