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Norm Retrievable Wavelet Systems [PDF]
Sahand Communications in Mathematical AnalysisThis paper focuses on the norm retrieval problem for wavelet transform. The wavelet transform associated with an admissible wavelet is norm retrieval. However, this problem is difficult in special cases, i.e., for wavelet systems. We give some results of
Mahdieh sadat Aghaei +1 more
doaj +1 more source
ENO-wavelet transforms for piecewise smooth functions [PDF]
, 2002 We have designed an adaptive essentially nonoscillatory (ENO)-wavelet transform for approximating discontinuous functions without oscillations near the discontinuities. Our approach is to apply the main idea from ENO schemes for numerical shock capturing
Chan, Tony F., Zhou, H. M.
core +1 more source
WavSpA: Wavelet Space Attention for Boosting Transformers' Long Sequence Learning Ability [PDF]
arXiv, 2022 Transformer and its variants are fundamental neural architectures in deep learning. Recent works show that learning attention in the Fourier space can improve the long sequence learning capability of Transformers. We argue that wavelet transform shall be a better choice because it captures both position and frequency information with linear time ...
arxiv
The Reproducing Kernel Function for the Image Space of a Limited Spectrum Wavelet Transform
Journal of Harbin University of Science and Technology, 2017 In order to describe the nature of image space of the wavelet transform and a limited spectrum and decay faster wavelet，this paper uses Shannon scaling function to construct a wavelet function，take advantage of wavelet analysis theory to give the nature ...
DENG Cai-xia, HE Peng, CHEN Xia-xia
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Non-decimated Wavelet Transform for a Shift-invariant Analysis
Trends in Computational and Applied Mathematics, 2018 Due to the ability of time-frequency location, the wavelet transform has been applied in several areas of research involving signal analysis and processing, often replacing the conventional Fourier transform.
Gabriela de Oliveira Nascimento Brassarote +2 more
doaj +1 more source
True 2-D 5/3 wavelet transform and its application for CT image lossless compression
Dianxin kexue, 2016 Wavelet transform is widely used in the field of digital image processing，and it usually processes image by separating the row and column，which can’t meet the human visual system（HVS）completely.To address this situation，a kind of true 2-D 5/3 wavelet ...
Nini XU, Mingming ZHANG, Jianming WANG
doaj +2 more sources
Timeline analysis and wavelet multiscale analysis of the AKARI All-Sky Survey at 90 micron [PDF]
, 2008 We present a careful analysis of the point source detection limit of the AKARI All-Sky Survey in the WIDE-S 90 $\mu$m band near the North Ecliptic Pole (NEP).
Clements, Dave +19 more
core +2 more sources
New Algorithm For Calculating Wavelet Transforms [PDF]
Journal of Systemics, Cybernetics and Informatics, 2009 In this article we introduce a new algorithm for computing Discrete Wavelet Transforms (DWT). The algorithm aims at reducing the number of multiplications, required to compute a DWT.
Piotr Lipinski, Mykhaylo Yatsymirskyy
doaj
Wavelet analysis of the multivariate fractional Brownian motion [PDF]
, 2011 The work developed in the paper concerns the multivariate fractional Brownian motion (mfBm) viewed through the lens of the wavelet transform. After recalling some basic properties on the mfBm, we calculate the correlation structure of its wavelet ...
Achard, Sophie +2 more
core +2 more sources
The Berkeley Wavelet Transform: A Biologically Inspired Orthogonal Wavelet Transform [PDF]
Neural Computation, 2008 We describe the Berkeley wavelet transform (BWT), a two-dimensional triadic wavelet transform. The BWT comprises four pairs of mother wavelets at four orientations. Within each pair, one wavelet has odd symmetry, and the other has even symmetry. By translation and scaling of the whole set (plus a single constant term), the wavelets form a complete ...
Willmore, B +3 more
openaire +4 more sources