The MIIS Eprints Archive

Orthogonal Wavelets via Filter Banks: Theory and Applications

Winkler, J.R. (2000) Orthogonal Wavelets via Filter Banks: Theory and Applications. [Study Group Report]



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.

Item Type:Study Group Report
Problem Sectors:Discrete
Information and communication technology
Study Groups:European Study Group with Industry > ESGI 37 (Sheffield, UK, Apr 10-14, 2000)
ID Code:377
Deposited By: Dr Kamel Bentahar
Deposited On:26 Nov 2011 20:05
Last Modified:29 May 2015 20:00

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