Generalized Hilbert transform and its properties in 2D LCT domain
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Publication:1032382
DOI10.1016/j.sigpro.2009.01.009zbMath1178.94039OpenAlexW2012017254MaRDI QIDQ1032382
Xiaotong Wang, Xiaogang Xu, Guanlei Xu
Publication date: 26 October 2009
Published in: Signal Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sigpro.2009.01.009
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for discrete and fast Fourier transforms (65T50) Application of orthogonal and other special functions (94A11)
Related Items (13)
Asymptotic behaviour of the quaternion linear canonical transform and the Bochner-Minlos theorem ⋮ Continuous-variable entropic uncertainty relations ⋮ Logarithmic uncertainty relations for odd or even signals associate with Wigner-Ville distribution ⋮ On uncertainty principle for quaternionic linear canonical transform ⋮ Three‐dimensional generalized analytic signal associated with linear canonical transform in Clifford biquaternion domain ⋮ Spectral analysis of sampled signals in the linear canonical transform domain ⋮ New Algorithm Based on S-Transform to Increase Defect Resolution Within Ultrasonic Images ⋮ On analysis of bi-dimensional component decomposition via BEMD ⋮ Reduced biquaternion canonical transform, convolution and correlation ⋮ On signal moments and uncertainty relations associated with linear canonical transform ⋮ Spectral analysis of sampled band-limited signals in the offset linear canonical transform domain ⋮ An interplay between parameter \((p, q)\)-Boas transform and linear canonical transform ⋮ The Wigner-Ville distribution based on the linear canonical transform and its applications for QFM signal parameters estimation
Cites Work
- Improved bi-dimensional EMD and Hilbert spectrum for the analysis of textures
- Fractional quaternion Fourier transform, convolution and correlation
- Research progress of the fractional Fourier transform in signal processing
- Parameter estimation of 2-D random amplitude polynomial-phase signals
- Hypercomplex Fourier Transforms of Color Images
- On Namias's Fractional Fourier Transforms
- The Fractional Order Fourier Transform and its Application to Quantum Mechanics
- Two-dimensional affine generalized fractional Fourier transform
- Hypercomplex signals-a novel extension of the analytic signal to the multidimensional case
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