zhenwei, zhang
(2016)
Most suitable mother wavelet for the analysis of fractal properties of stride interval via the average wavelet coefficient method.
Master's Thesis, University of Pittsburgh.
(Unpublished)
Abstract
The human gait is a complex interaction of many nonlinear systems and stride intervals that can be modeled as a stochastic $1/f^\beta$ process, where the spectral index $\beta$ can be interpreted as a “biomarker” of diseases. The previous study showed that the average wavelet method provides the most accurate results when applied to stride interval time series. The purpose of this paper is to determine the most suitable mother wavelet for analysis of the fractal characteristics of the stride interval time series.
This paper presents a comparative numerical analysis of sixteen mother wavelets applied to the average wavelet coefficient method with different simulated signal lengths and $\beta$ values. Five candidates were chosen due to their good performance on the mean square error test for both short and long signals. Next, we comparatively analyzed these five mother wavelets for physiologically relevant stride time series lengths . Our analysis showed that the symlet 2 mother wavelet provides a low mean square error and low variance for long time intervals and relatively low errors for short signal lengths. It can be considered as the most suitable mother function without the burden of considering the signal length.
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Item Type: |
University of Pittsburgh ETD
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Status: |
Unpublished |
Creators/Authors: |
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ETD Committee: |
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Date: |
15 September 2016 |
Date Type: |
Publication |
Defense Date: |
8 July 2016 |
Approval Date: |
15 September 2016 |
Submission Date: |
21 July 2016 |
Access Restriction: |
5 year -- Restrict access to University of Pittsburgh for a period of 5 years. |
Number of Pages: |
52 |
Institution: |
University of Pittsburgh |
Schools and Programs: |
Swanson School of Engineering > Electrical Engineering |
Degree: |
MS - Master of Science |
Thesis Type: |
Master's Thesis |
Refereed: |
Yes |
Uncontrolled Keywords: |
fractals,time series analysis, self similarity, gait, stride intervals, wavelets , 1/f process, mother wavelet |
Date Deposited: |
15 Sep 2016 19:53 |
Last Modified: |
15 Sep 2021 05:15 |
URI: |
http://d-scholarship.pitt.edu/id/eprint/28714 |
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