Odp: Help with 'spectrum'
Hi r-help-bounces at r-project.org napsal dne 09.09.2008 18:44:34:
For the command 'spectrum' I read: The spectrum here is defined with scaling 1/frequency(x), following
S-PLUS.
This makes the spectral density a density over the range
(-frequency(x)/2,
+frequency(x)/2], whereas a more common scaling is 2? and range (-0.5,
0.5]
(e.g., Bloomfield) or 1 and range (-?, ?]. Forgive my ignorance but I am having a hard time interpreting this. Does
this
mean that in the spectrum output every element of the $spec array is
scaled by
1/frequency(x)? I am having a hard time determing what is meant by 'frequency'.Say I define a time series for a year with samples for every
day.
I input a 'frequency' of 365 (which in my mind is the period). On the
output
of 'spectrum' would this mean that every element of the $spec array is
scaled
by 1/365? There is a corresponding frequency array on the output from 'spectrum'. If the frequency is 365 and an element in the frequency
array
output from 'spectrum' is .1 am I to assume that the period is 36.5 and
a
corresponding sin wave would be sin(2 * pi * 36.5/365)?
Well, although I am not an expert in this matter I try to explain my humble understanding of spectrum results. sss<-spectrum(sunspots) sss$freq[which.max(sss$spec)] [1] 0.09166667 1/sss$freq[which.max(sss$spec)] [1] 10.90909 you can see that maximum of spec value is for this time series at freq 0.09 and 1/0.09 is almost eleven. Knowing that sunspots have periodicity 11 years I assume that for each series I can get an information about its periodicity by 1/freq. E.g. if your series is days 1/freq means period in days. Regards Petr
Thank you in advance for helping me clear up some confusion. Kevin
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