Fractal multiwavelets related to the cantor dyadic group
نویسندگان
چکیده
منابع مشابه
Wavelet Analysis on the Cantor Dyadic Group
Compactly supported orthogonal wavelets are built on the Cantor dyadic group (the dyadic or a-series local field). Necessary and sufficient conditions are given on a trigonometric polynomial scaling filter for a multiresolution analysis to result. A Lipschitz regularity condition is defined and an unconditional P-convergence result is given for regular wavelet expansions (p > 1). Wavelets are g...
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For a large class of dyadic homogeneous Cantor distributions in R, which are not necessarily self-similar, we determine the optimal quantizers, give a characterization for the existence of the quantization dimension, and show the non-existence of the quantization coefficient. The class contains all self-similar dyadic Cantor distributions, with contraction factor less than or equal to 1 3 . For...
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In a recently published paper (J. of Modern Optics 50 (9) (2003) 1477-1486) a qualitative analysis of the moiré effect observed by superposing two grids containing Cantor fractal structures was presented. It was shown that the moiré effect is sensible to variations in the order of growth, dimension and lacunarity of the Cantor fractal. It was also verified that self-similarity of the original f...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1998
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171298000428