Synergistic Effects of Phase Folding and Wavelet Denoising with Applications in Light Curve Analysis
Date of Award
9-15-2016
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Department of Mathematics and Statistics
First Advisor
Christine M. Schubert Kabban, PhD.
Abstract
The growing size of cosmological data sets is causing the current human-centric approach to cosmology to become impractical. Autonomous data analysis techniques need to be developed in order to advance the field of cosmology. This research examines the benefits of combining two signal analysis techniques, namely phase folding and wavelet denoising, into a newly-developed suite of autonomous light curve analysis tools which includes aspects of component extraction and period detection. The improvements these tools provide, with respect to autonomy and signal quality, are demonstrated using both simulated and real-world light curve data. Although applied to light curve data, the suite of tools developed in this dissertation are advantageous to the processing, modeling, or extractions to any periodic signal analysis.
AFIT Designator
AFIT-ENC-DS-16-S-001
DTIC Accession Number
AD1017864
Recommended Citation
Armstrong, Andrew M., "Synergistic Effects of Phase Folding and Wavelet Denoising with Applications in Light Curve Analysis" (2016). Theses and Dissertations. 286.
https://scholar.afit.edu/etd/286