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Full-Text Articles in Physical Sciences and Mathematics
Wavelet Packet Power Spectrum Of The Sdss Lyman-Alpha Forest: A Tool For Large-Scale Structure Detection, Jason Pero
Wavelet Packet Power Spectrum Of The Sdss Lyman-Alpha Forest: A Tool For Large-Scale Structure Detection, Jason Pero
College of Science and Health Theses and Dissertations
One of the goals of astrophysics is to obtain a full understanding how the Universe is organized on large scales and how structure evolved. In this thesis we develop a method of detecting structure on Mpc scales by measuring the one-dimensional power spectrum of the transmitted ux in the Lyman- forest. The method is based on the wavelet packet transform (WPT), which has several advantages over the Fourier transform. This includes reduced noise, resulting in less data manipulation and scrubbing in the early stages of analysis. Another advantage is localization of outliers in the data, which allows the general trend …
An Application Of Wavelet Methods To The Search For Baryon Acoustic Oscillations, Kevin Michael Kadowaki
An Application Of Wavelet Methods To The Search For Baryon Acoustic Oscillations, Kevin Michael Kadowaki
College of Science and Health Theses and Dissertations
We use the method of wavelet transforms to investigate the clustering of matter on galactic scales in search of Baryon Acoustic Oscillations (BAOs). In particular, we develop a method of wavelet packet analysis to measure the power spectrum of a galaxy distribution and apply this method to the CMASS galaxy catalogue from the Sloan Digital Sky Survey (SDSS) Baryon Oscillation Spectroscopic Survey (BOSS) collaboration. Using a variant of HEALPix, we project the data from the celestial sphere onto a square signal matrix, and take the two-dimensional Wavelet Packet Transform of this signal. We use this transform and techniques of spectrum …