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 - Open Access

Copyright

Copyright by the authors.

Included in

Mathematics Commons

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