Comparison of a best and a near : best basis approach to wavelet analysis of elctrocardiograms

Simple item page
dc.contributor.authorSteacy, Robert Clifford Bruceen_US
dc.date.accessioned2024-08-15T18:25:40Z
dc.date.available2024-08-15T18:25:40Z
dc.date.copyright1996en_US
dc.date.issued1996
dc.degree.departmentDepartment of Mathematics and Statistics
dc.degree.levelMaster of Science M.Sc.en
dc.description.abstractA necessary first step in the high-speed computerized analysis of electro­cardiograms is to transform the data so that as much of the energy of the signal is contained in as few coefficients as possible. This facilitates both de-noising and data compression, so that further steps such as arrhythmia detection can then be carried out. A logical starting point for electrocardiogram research is provided by the wavelet techniques contained in the standard reference work Numerical Recipes in C, by Press et al. [10]. These are based on the work of Ingrid Daubechies (compactly supported wavelets) and S. Mallat (the pyramid algorithm). Using a well-known measure of the expected information of a signal, this thesis compares the basic treatment of electrocardiograms to two improved schemes, the Near-Best-Basis of Taswell, and the Best Basis of Coifman and Wickerhauser. Mathematical definitions and foundations for "Best" and "Near-Best" are given in Chapter 3 of the thesis. There are two conclusions. The Near-Best-Basis of Taswell gives a significant improvement over the basic pyramid algorithm treatment for low additional computational cost. The Best Basis produces a further improvement over the Near-Best-Basis which is negligible for practical purposes, and at a large increase in computational cost. These conclusions have valuable practical implications for researchers in this field, and for the estimated several hundred million people worldwide who face serious heart problems in the next decade.
dc.format.extent104 pages
dc.identifier.urihttps://hdl.handle.net/1828/19781
dc.rightsAvailable to the World Wide Weben_US
dc.titleComparison of a best and a near : best basis approach to wavelet analysis of elctrocardiogramsen_US
dc.typeThesisen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
STEACY_ROBERT_MSc_1996_729249.pdf
Size:
2.01 MB
Format:
Adobe Portable Document Format
Download

Collections

Electronic Theses and Dissertations (ETD)
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.