Bidimensional wavelet bases are constructed by means of McClellan's transformation applied to a pair of one-dimensional biorthogonal wavelet filters. It is shown that under some conditions on the transfer function F(Wl,W2) associated to the McClellan transformation and on the dilation matrix D, it i
Continuous wavelet transforms on the space L2 (R, H; dx)
โ Scribed by Jianxun He; Bo Yu
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 591 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
Let P be the affine group of the real line R, and let HI be the set of all quaternions. Thus, L'(R, W; &x) denotes the space of all square integrable W-valued functions.
From the viewpoint of square integrable group representations, we study the theory of continuous wavelet transforms on L2(R,W; do) associated with the group P, and give the Calderdn reproducing formula.
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