Translation invariance and sampling theorem of wavelet
β Scribed by Qiao Wang; Lenan Wu
- Book ID
- 118690654
- Publisher
- IEEE
- Year
- 2000
- Tongue
- English
- Weight
- 154 KB
- Volume
- 48
- Category
- Article
- ISSN
- 1053-587X
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π SIMILAR VOLUMES
The generalized sampling theorem of Kramer is derived and interpreted in the context of the theory of linear systems satisfying a generalized form of translation invariance. The results are extended to theform of expansions developed by Papoulis and by Campbell. ## D[(tox)oy)] = Iim Z(t,x,y) A-t0
A multiresolution analysis for an orthogonal family of wavelets is usually not translation invariant. A concept of weak translation invariance is introduced and shown to hold for a class of Meyer wavelets and in fact characterizes this class. Other operators such as dilation, differentiation, and co