Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
12-2019
Committee Chair or Co-Chairs
Dr. Jeff Knisley
Committee Members
Dr. Michele Joyner, Dr. Rodney Keaton
Abstract
Nonuniformly sampled time series are common in astronomy, finance, and other areas of research. Commonly, these time series belong to a family of signals recorded from the same phenomenon. Period estimation and denoising of such data relies on periodograms. In particular, the Lomb-Scargle periodogram and its extension, the Multiband Lomb-Scargle, are at the forefront of time series period estimation. However, these methods are not without laws. This paper explores alternatives to the Lomb-Scargle and Multiband Lomb-Scargle. In particular, this thesis uses regularized least squares and the convolution theorem to introduce a spectral consensus model of a family of nonuniformly sampled time series.
Document Type
Thesis - unrestricted
Recommended Citation
Seguine, William, "Period Estimation and Denoising Families of Nonuniformly Sampled Time Series" (2019). Electronic Theses and Dissertations. Paper 3668. https://dc.etsu.edu/etd/3668
Copyright
Copyright by the authors.