A new fractional wavelet transform
From MaRDI portal
Publication:2005026
DOI10.1016/j.cnsns.2016.06.034zbMath1472.42054OpenAlexW2487714310MaRDI QIDQ2005026
Hongzhe Dai, Zhibao Zheng, Wei Wang
Publication date: 7 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.06.034
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)
Related Items
Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space ⋮ Dynamical analysis of a discrete conformable fractional order bacteria population model in a microcosm ⋮ A note on continuous fractional wavelet transform in ℝn ⋮ Nearly symmetric orthogonal wavelets for time-frequency-shape joint analysis: introducing the discrete shapelet transform's third generation (DST-III) for nonlinear signal analysis ⋮ On generalized fractional vibration equation ⋮ Fractional wave packet systems in L2(R) ⋮ Solution to fractional evolution equation using Mohand transform ⋮ Fractional biorthogonal wavelets in L2(ℝ) ⋮ Novel special affine wavelet transform and associated uncertainty principles ⋮ Multidimensional fractional wavelet transforms and uncertainty principles ⋮ NAFASS: fluctuation spectroscopy and the Prony spectrum for description of multi-frequency signals in complex systems ⋮ Choi-Williams distribution in linear canonical domains and its application in noisy LFM signals detection ⋮ A family of convolution-based generalized Stockwell transforms ⋮ Fractional spectral graph wavelets and their applications ⋮ Fractional multiresolution analysis and associated scaling functions in \(L^2(\mathbb{R})\) ⋮ Nonlinear system stochastic response determination via fractional equivalent linearization and Karhunen-Loève expansion ⋮ Unnamed Item ⋮ Fractional wavelet frames in \(L^{2}(\mathbb{R})\) ⋮ A new fractional moment equation method for the response prediction of nonlinear stochastic systems ⋮ A convolution-based special affine wavelet transform ⋮ Simulation of multi-dimensional random fields by Karhunen-Loève expansion ⋮ Special affine wavelet transform and the corresponding Poisson summation formula ⋮ Fractional vector-valued nonuniform MRA and associated wavelet packets on \(L^2\big({\mathbb{R}},{\mathbb{C}}^M\big)\) ⋮ On the extension of the coupled fractional Fourier transform and its properties
Cites Work
- A novel fractional wavelet transform and its applications
- Fractional and continuous wavelet transforms for the simultaneous spectral analysis of a binary mixture system
- Fractional Fourier domains
- The fractional wave packet transform
- A Mellin transform approach to wavelet analysis
- The generalized continuous wavelet transform associated with the fractional Fourier transform
- Ten Lectures on Wavelets
- Short-Time Fractional Fourier Transform and Its Applications
- Short-time fourier transform: two fundamental properties and an optimal implementation