# [R] Simple spectral analysis

Petr Pikal petr.pikal at precheza.cz
Tue Jan 9 08:46:49 CET 2007

```Hi

without beeing specific in spectrum analysis you will get frequencies
and spectral densities fro spectrum()

>From help page

An object of class "spec", which is a list containing at least the
following components:

freq vector of frequencies at which the spectral density is
estimated. (Possibly approximate Fourier frequencies.) The units are
the reciprocal of cycles per unit time (and not per observation
spacing): see Details below.
spec Vector (for univariate series) or matrix (for multivariate
series) of estimates of the spectral density at frequencies
corresponding to freq.

<snip>

This is the important part:

**The result is returned invisibly if plot is true.**

So if you call

spectrum(data) you will get plot but in case

sp <- spectrum(data)

you will get also object sp which has above mentioned components.
Actual periods are obtainable by

n/sp\$freq

HTH
Petr

On 8 Jan 2007 at 17:12, Georg Hoermann wrote:

Date sent:      	Mon, 08 Jan 2007 17:12:34 +0100
From:           	Georg Hoermann <georg.hoermann at gmx.de>
To:             	r-help at stat.math.ethz.ch
Subject:        	[R] Simple spectral analysis

> Hello world,
>
> I am actually trying to transfer a lecture from Statistica to
> R and I ran into problems with spectral analysis, I think I
> just don't get it 8-(
> (The posting from "FFT, frequs, magnitudes, phases" from 2005
> did not enlighten me)
>
> As a starter for the students I have a 10year data set of air
> temperature with daily values  and I try to
> get a periodogram where the annual period (365 days) should be clearly
> visible (in statistica I can get the frequencies and the period). I
> tried the spectrum() and pgram() functions, but did not find a way
> through... The final aim would be to get the periodogram (and the
> residuals from the reassembled data set...)
>
> Thanks and greetings,
> Georg
>
> The data set:
>
> air =
> airtemp = ts(T_air, start=c(1989,1), freq = 365) plot(airtemp)
>
>
> --
> Georg Hoermann, Dep. of Hydrology, Ecology, Kiel University, Germany
> +49/431/23761412, mo: +49/171/4995884, icq:348340729, skype: ghoermann
>
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