relation: http://miis.maths.ox.ac.uk/miis/377/
title: Orthogonal Wavelets via Filter Banks: Theory and Applications
creator: Winkler, J.R.
subject: Discrete
subject: Information and communication technology
description: 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
type: Study Group Report
type: NonPeerReviewed
format: application/pdf
language: en
identifier: http://miis.maths.ox.ac.uk/miis/377/1/Orthogonal-wavelets-via-filter-banks.pdf
identifier:   Winkler, J.R.  (2000) Orthogonal Wavelets via Filter Banks: Theory and Applications.  [Study Group Report]