The whittaker-vondrak method of data smoothing as a numerical filter

Details The whittaker-vondrak method of data smoothing as a numerical filter The whittaker-vondrak method of data smoothing as a numerical filter

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cha%26a...5..449h&link_type=abstract

Chinese Astronomy and Astrophysics, Volume 5, Issue 4, p. 449-454.

Astronomy and Astrophysics

Astrophysics

Scientific paper

We investigate the properties of the Whittaker-Vondrak method of data smoothing as a numerical filter. We obtain the theoreticlal expression relating the mixing parameter ɛ, the period P and the frequency response A, thus verifying an empirical result found by Vondrak, and generalize the expression to other definitions of ``smoothness''. Using the noise spectra before and after the filter, we give the formulae for estimating the mean error per unit weight, the mean error of a filtered value, and the autocorrelation in the filtered series.

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