Institut für Astronomie und AstrophysikAbteilung AstronomieSand 1, D-72076 Tübingen, Germany |
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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