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Symmetric-Extension-Compatible Reversible Integer-To-Integer Wavelet Transforms

Summary: Symmetric-Extension-Compatible Reversible
Integer-To-Integer Wavelet Transforms
Michael D. Adams, Member, IEEE and Rabab K. Ward, Fellow, IEEE
Symmetric extension is explored as a means for constructing nonexpansive reversible integer-to-integer (ITI)
wavelet transforms for finite-length signals. Two families of reversible ITI wavelet transforms are introduced, and
their constituent transforms are shown to be compatible with symmetric extension. One of these families is then
studied in detail, and several interesting results concerning its member transforms are presented. In addition, some
new reversible ITI structures are derived that are useful in conjunction with techniques like symmetric extension.
Lastly, the relationship between symmetric extension and per-lifting-step extension is explored, and some new
results are obtained in this regard.
EDICS Category: 3-COMP (Signal Representation and Compression)
Corresponding author:
Michael D. Adams
Dept. of Electrical and Computer Engineering
University of Victoria
P.O. Box 3055 STN CSC
Victoria, BC, V8W 3P6, Canada
Tel: 1-250-721-6025, Fax: 1-250-721-6052
E-mail: mdadams@ece.uvic.ca


Source: Adams, Michael D. - Department of Electrical and Computer Engineering, University of Victoria


Collections: Engineering