Department or Program

Mathematics

Abstract

A wavelet is a window function in both the time and the frequency domains; accordingly, the wavelet transform simultaneously reveals both time- and frequency-localized properties of a signal. Developed rapidly over the past thirty years, the wavelet transform has allowed mathematicians and scientists to better analyze, characterize, and model transient phenomena.

This thesis has three aims. First, it provides an exposition of both continuous and discrete wavelet theory. Second, the thesis reviews and articulates recent work on applying wavelet analysis to ecological time-series; special attention will be given to methods assigning statistical significance to wavelet power spectra. Finally, these methods will be applied to analyze the population dynamics of the cyanobacterium Gloeotrichia echinulata.

Level of Access

Restricted: Embargoed [Open Access After Expiration]

First Advisor

Greer, Meredith

Date of Graduation

5-2013

Degree Name

Bachelor of Arts

Number of Pages

112

Components of Thesis

1 pdf file

Embargoed

Available to all on Monday, May 01, 2023

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