Natural Interpolation and Consistent Extrapolation of Time Series arising from Dense Multi-Mode Spectra

Details Natural Interpolation and Consistent Extrapolation of Time Series arising from Dense Multi-Mode Spectra Natural Interpolation and Consistent Extrapolation of Time Series arising from Dense Multi-Mode Spectra

May 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agusm..sp31a05l&link_type=abstract

American Geophysical Union, Spring Meeting 2001, abstract #SP31A-05

Astronomy and Astrophysics

Astronomy

7522 Helioseismology

Scientific paper

The study of the temporal variation of phenomenon is often hampered by the incompleteness of our observations. This is particularly disruptive for highly periodic signals that are interrupted by periodic gaps, which introduce sidelobes that are difficult - if not impossible - to remove by deconvolution techniques if the spectral peaks are dense compared to the sidelobe separation. This is the case for the study of many classes of variable stars, including the Sun, where once per day interuptions are the norm. However, for signals with coherence times longer than the interuptions, there is little ambiguity as to the unobserved behaviour of the signal - that is the frequency, phase, and amplitude of a mode cannot change significantly during a time small compared with the mode lifetime - and the missing data can be replaced with high fidelity, by an iterative procedure. The interpolated data is consistent with the observed time series, and can also be used to extrapolate the time series for times comparable with the coherence times of the constituent modes. The method works well for spectra of unknown content, and a priori information, e.g. the approximate frequenices of modes, can be simply incorporated to accelerate convergence. The NSO is sponsored by the National Science Foundation through a cooperative agreement with the Association of Universities for Research in Astronomy, Inc.

Affiliated with

Also associated with

No associations

Rating

Natural Interpolation and Consistent Extrapolation of Time Series arising from Dense Multi-Mode Spectra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Natural Interpolation and Consistent Extrapolation of Time Series arising from Dense Multi-Mode Spectra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Natural Interpolation and Consistent Extrapolation of Time Series arising from Dense Multi-Mode Spectra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1279103