eprintid: 377
rev_number: 11
eprint_status: archive
userid: 7
dir: disk0/00/00/03/77
datestamp: 2011-11-26 20:05:24
lastmod: 2015-05-29 20:00:05
status_changed: 2011-11-26 20:05:24
type: report
metadata_visibility: show
item_issues_count: 0
creators_name: Winkler, J.R.
title: Orthogonal Wavelets via Filter Banks: Theory and Applications
ispublished: pub
subjects: discrete
subjects: telecom
studygroups: esgi37
full_text_status: public
abstract: Wavelets are used in many applications, including image processing, signal analysis and seismology. The critical problem is the representation of a signal using a small number of computable functions, such that it is represented in a concise and computationally efficient form. It is shown that wavelets are closely related to filter banks (sub band filtering) and that there is a direct analogy between multiresolution analysis in continuous time and a filter bank in discrete time. This provides a clear physical interpretation of the approximation and detail spaces of multiresolution analysis in terms of the frequency bands of a signal. Only orthogonal wavelets, which are derived from orthogonal filter banks, are discussed. Several examples and applications are considered.
date: 2000
citation:   Winkler, J.R.  (2000) Orthogonal Wavelets via Filter Banks: Theory and Applications.  [Study Group Report]     
document_url: http://miis.maths.ox.ac.uk/miis/377/1/Orthogonal-wavelets-via-filter-banks.pdf