Articles | Volume 10, issue 9
Research article
21 Sep 2017
Research article |  | 21 Sep 2017

Smoothing data series by means of cubic splines: quality of approximation and introduction of a repeating spline approach

Sabine Wüst, Verena Wendt, Ricarda Linz, and Michael Bittner

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Cited articles

Baumgarten, G., Fiedler, J., Hildebrand, J., and Lübken, F.-J.: Inertia gravity wave in the stratosphere and mesosphere observed by Doppler wind and temperature lidar, Geophys. Res. Lett., 42, 10929–10936,, 2015.
Committee on Space Research: NASA National Space Science Data Center: COSPAR International Reference Atmosphere (CIRA-86): Global Climatology of Atmospheric Parameters, NCAS British Atmospheric Data Centre, available at: (last access: 16 February 2016), 2006.
Eckermann, S. D., Hirota, I., and Hocking, W. K.: Gravity wave and equatorial wave morphology of the stratosphere derived from long-term rocket soundings, Q. J. Roy. Meteor. Soc., 121, 149–186,, 1995.
Ern, M., Preusse, P., Gille, J. C., Hepplewhite, C. L., Mlynczak, M. G., Russell III, J. M., and Riese, M.: Implications for atmospheric dynamics derived from global observations of gravity wave momentum flux in stratosphere and mesosphere. J. Geophys. Res., 116, D19107,, 2011.
Kramer, R., Wüst, S., and Bittner, M.: Climatology of convectively generated gravity waves at Prague based on operational radiosonde data from 13 years (1997–2009), J. Atmos. Sol.-Terr. Phy., 140, 23–33,, 2016.
Short summary
Cubic splines with equidistant spline sampling points are a common method in atmospheric science for the approximation of background conditions by means of filtering superimposed fluctuations from a data series. However, splines can generate considerable artificial oscillations in the background and the residuals. We introduce a repeating spline approach which is able to significantly reduce this phenomenon and to apply it to TIMED-SABER vertical temperature profiles from 2010 to 2014.