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SCALE-FREE LUBY TRANSFORM CODES
International Journal of Bifurcation and Chaos, 2012This paper reports the characteristics and performance of a new type of Luby Transform codes, namely scale-free Luby Transform (SF-LT) codes. In the SF-LT codes, the degree of the encoded symbol follows a modified power-law distribution. Moreover, the complexity and decoding performance of SF-LT codes are compared with LT codes based on robust soliton
Yuli Zhao +3 more
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Shearlets as Multi-scale Radon Transforms
Sampling Theory in Signal and Image Processing, 2017It is shown that the 2D-shearlet transform is the composition of the affine Radon transform, a 1D-wavelet transform and a 1D-convolution. This is applied to give an alternative proof of the fact that the shearlet transform is able to resolve the wavefront set associated with the unit disc.
BARTOLUCCI, FRANCESCA +3 more
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Normal Multi-scale Transforms for Curves
Foundations of Computational Mathematics, 2011The \textit{normal multi-scale transform} gives a recursive prediction-correction method of representing a curve \({\mathcal C}\) in the plane. Starting with a set of samples \({\mathbf v}^0\) of \({\mathcal C}\), the \(j\)-th level of recursion is obtained from the previous level by applying a fixed subdivision scheme \(S\) to \({\mathbf v}^{j-1}\) to
Stanislav Harizanov +2 more
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Scale, frequency, time, and the scale transform
[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing, 2003The author develops the relationship between time, frequency, and scale, and their respective operators and representations. A scale operator is proposed and its eigenfunctions are obtained. This leads to the scale transform. The convolution and correlation theorems for scale are developed.
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To Reach Transformative Scale, Transform the Conversation
2014Scaling impact is much bigger than scaling an enterprise.
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Crystallographic scale transformations
Philosophical Magazine B, 1992Abstract Quasi-periodic structures have strictly speaking no three-dimensional space group symmetry. Their symmetry group is in fact a space group in a higher dimensional space. Besides this symmetry there may also be other invariances, in particular scale symmetry.
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Note on the Scale Transformation
Physical Review D, 1971We derive a simple dimensional relation on the canonical energy-momentum tensor. This relation is used to express the deficiency of the scale invariance. It is shown that the scale transformation is not compatible with the Lorentz covariance in some cases which lie within the framework of the renormalizable field theory.
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Korean Journal of Computational & Applied Mathematics, 1995
Scale Invariant Transforms are defined for both one- and two-dimensioned input functions. These have the desirable properties of linearity and invariance to scale change of the input.
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Scale Invariant Transforms are defined for both one- and two-dimensioned input functions. These have the desirable properties of linearity and invariance to scale change of the input.
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From transformation to normalisation: An exploratory study of a large-scale agile transformation
Journal of Information Technology, 2023Kieran Conboy, Noel Carroll
exaly

