Smoothing the experimental data by the method of "running parabolae".

Details Smoothing the experimental data by the method of "running parabolae". Smoothing the experimental data by the method of "running parabolae".

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990kfnt....6...87a&link_type=abstract

Kinematika Fiz. Nebesn. Tel, Tom 6, No. 6, p. 87 - 96

Computer Science

5

Methods Of Reduction

Scientific paper

The generalization of the method of "running approximation" is proposed. To determine the smoothed value of the signal at time t0, one uses the parabolic approximation in the interval (t0-Δt, t0+Δt). Unlike the methods, in which the equal "weights" of observations are used, the work deals with the influence of the "weight" term pi ={1-[(ti-t0)/Δt]2}2, which allows us to avoid the discontinuity of the smoothing function and its derivative. The analytical accuracy estimates for the smoothing function and the corresponding extrema are presented. The systematic error for the method of "running parabolae" is much smaller as compared with that for "running mean".

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