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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
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Abstract |
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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. |
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Keywords
wavelets, bean beetle, Callosobruchus maculatus, signal
processing, seaweed method
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Mathematical Subject Classification 2010
Primary: 65T60, 34K33, 62P10
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Supplementary material |
Milestones
Received: 23 May 2014
Revised: 16 December 2015
Accepted: 25 December 2015
Published: 11 October 2016
Communicated by Kenneth S. Berenhaut
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Authors |
| David McMorris | |
| Department of Mathematics University of Nebraska–Lincoln 203 Avery Hall PO BOX 880130 Lincoln, NE 68588 United States |
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| Paul Pearson | |
| Department of Mathematics Hope College 27 Graves Place Holland, MI 49422 United States |
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| Brian Yurk | |
| Department of Mathematics Hope College 27 Graves Place Holland, MI 49423 United States |
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