Vol. 10, No. 1, 2017

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ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
A modified wavelet method for identifying transient features in time signals with applications to bean beetle maturation

David McMorris, Paul Pearson and Brian Yurk

Vol. 10 (2017), No. 1, 21–42
Abstract

We develop an averaging method, based on a modified Haar wavelet technique, for identifying when transient features occur in a time signal. We call this method the seaweed method and use it to identify different stages of bean beetle embryo maturation. We use randomized simulations to evaluate the seaweed method for accuracy and precision at different levels of noise. Our results support the efficacy of the seaweed method as a means for analyzing time-lapse photographs of bean beetle embryos and a wide variety of other time signals.

Keywords
wavelets, bean beetle, Callosobruchus maculatus, signal processing, seaweed method
Mathematical Subject Classification 2010
Primary: 65T60, 34K33, 62P10
Supplementary material

Source code for R version~3.10

Milestones
Received: 23 May 2014
Revised: 16 December 2015
Accepted: 25 December 2015
Published: 11 October 2016

Communicated by Kenneth S. Berenhaut
Authors
David McMorris
Department of Mathematics
University of Nebraska–Lincoln
203 Avery Hall
PO BOX 880130
Lincoln, NE 68588
United States
Paul Pearson
Department of Mathematics
Hope College
27 Graves Place
Holland, MI 49422
United States
Brian Yurk
Department of Mathematics
Hope College
27 Graves Place
Holland, MI 49423
United States