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Institut für Astronomie und AstrophysikAbteilung AstronomieSand 1, D-72076 Tübingen, Germany |
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DELTAT
function which returns the expected time resolution of a
periodogram or similar for a given period as
derived from the total length of the
observation ("timebase")
helpers: estimate for fourier transform
result = deltat( period_of_interest, total_timebase [,/rel] )
p (period_of_interest): period at which time
resolution of
periodogram is to be
evaluated
t (total_timebase): total length of run
("timebase")
rel: if set, return relative resolution instead
of absolute one
time resolution if periodogram is given over
period instead of over frequency (which would
be the more natural way)
beware that this is NOT the time resolution of
the original lightcurve, i.e. the sampling
rate (which would give us something like the
shortest measurable period), but rather a
measure of how exactly you can determine a
given period!
relative value instead of absolute one if requested
none
none that I can think of
none that I can think of
determine frequency resolution from timebase:
deltanu = 1/t
first point:
p = 1 / (1/p) = p
second point (separated by what corresponds to
deltanu):
p-deltat = 1 / (1/p + deltanu)
= 1 / (1/p + 1/t)
= p*t / (t + p)
then separation is given by
deltat = p - (p-deltat)
= p - p*t / (t + p)
= p * (1-t/(t+p))
t=findgen(864000)
plot,t/86400.,deltat(12116,t)
shows how delta t for a period of 12116 sec gets smaller
the more days the observations has (from 1 to ten days)
similarly,
plot,t/86400.,deltat(12116,t,/rel)
shows how the relative error decreases (to below 3% after ten days)
Version 1.0 2001/07/25 Sonja L. Schuh
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