Orthogonal Matched Wavelets with Vanishing Moments: A Sparsity Design Approach
Sign Up to like & getrecommendations! Published in 2018 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-017-0716-1
Abstract: This paper presents a novel approach to design orthogonal wavelets matched to a signal with compact support and vanishing moments. It provides a systematic and versatile framework for matching an orthogonal wavelet to a specific… read more here.
Keywords: orthogonal matched; vanishing moments; approach; wavelet ... See more keywords
Some results on vanishing moments of wavelet packets, convolution and cross-correlation of wavelets
Sign Up to like & getrecommendations! Published in 2019 at "Arab Journal of Mathematical Sciences"
DOI: 10.1016/j.ajmsc.2018.07.001
Abstract: Abstract A formula for calculating moments for wavelet packets is derived and a sufficient condition for moments of wavelet packets to be vanishing is obtained. Also, the convolution and cross-correlation theorems for Hilbert transform of… read more here.
Keywords: wavelet packets; vanishing moments; cross correlation; results vanishing ... See more keywords
Study on Optimal Selection of Wavelet Vanishing Moments for ECG Denoising
Sign Up to like & getrecommendations! Published in 2017 at "Scientific Reports"
DOI: 10.1038/s41598-017-04837-9
Abstract: The frequency characteristics of wavelets and the vanishing moments of wavelet filters are both important parameters of wavelets. Clarifying the relationship between the wavelet frequency characteristics and the vanishing moments of the wavelet filter can… read more here.
Keywords: frequency characteristics; vanishing moments; frequency; wavelet ... See more keywords
Operators on the vanishing moments subspace and Stieltjes classes for M-indeterminate probability distributions
Sign Up to like & getrecommendations! Published in 2021 at "Arab Journal of Mathematical Sciences"
DOI: 10.1108/ajms-04-2021-0083
Abstract: PurposeIn this work the author gathers several methods and techniques to construct systematically Stieltjes classes for densities defined on R+.Design/methodology/approachThe author uses complex integration to obtain integrable functions with vanishing moments sequence, and then the… read more here.
Keywords: vanishing moments; probability; operators vanishing; moments subspace ... See more keywords