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   -> Volume 4, Issue 1

Thesis: On Lapped Transforms, Ricardo L. de Queiroz
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PostPosted: Mon Dec 02, 2002 1:38 pm    
Subject: Thesis: On Lapped Transforms, Ricardo L. de Queiroz
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Thesis: On Lapped Transforms, Ricardo L. de Queiroz

Abstract of a Ph.D. dissertation

Author : Dr. Ricardo L. de Queiroz
Title : "On Lapped Transforms"
Author : Dr. Ricardo L. de Queiroz
University : University of Texas at Arlington
Supervisor prof : Prof. K. R. Rao
Author's e-mail :

Lapped transforms (LTs) and their applications are studied. New results are
presented, including the development of new LTs with general overlapping factors
and linear phase filters, the theory of perfect reconstruction LTs for
finite-length signals, the perfect reconstruction conditions for time-varying
LT, and a theory to implement time-varying LTs and wavelet packets with the
perfect reconstruction and orthogonality properties. Time-invariant LTs are
presented, designed, optimized, and applied to image coding and the time-varying
lapped transforms are applied to construct time-varying wavelet packets which
are able to implement systems to decompose the signal in a maximally-decimated
way using virtually any rectangular tiling of the time-frequency plane. In all
cases, perfect reconstruction and orthogonality are inherently assured, along
with fast implementation algorithms.

PS file:

The postscript file to print the dissertation is available through anonymous
ftp. It was compressed using UNIX compress.

(password is your internet mail address, like
cd pub/lapped-transforms

Thank you for your attention,

Dr. Ricardo L. de Queiroz E-mail:
Corporate Research and Technology Phone: (716) 265-7310
XEROX CO. 800 Philips Road, M/S 128-27E Webster, NY 14580 U. S. A.
All times are GMT + 1 Hour
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