Offset Linear Canonical Stockwell Transform
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DOI: 10.1002/mma.70143
Abstract: In this paper, we investigate a novel convolution structure in the offset linear canonical transform domain to harness the strengths of both the offset linear canonical and Stockwell transforms. This integration results in a new… read more here.
Keywords: stockwell transform; linear canonical; canonical stockwell; offset linear ... See more keywords
Novel Uncertainty Principles for Two-Sided Quaternion Linear Canonical Transform
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DOI: 10.1007/s00006-018-0828-0
Abstract: The uncertainty principle, which offers information about a function and its Fourier transform in the time-frequency plane, is particularly powerful in mathematics, physics and signal processing community. In this paper, based on the fundamental relationship… read more here.
Keywords: two sided; linear canonical; uncertainty; quaternion linear ... See more keywords
Uncertainty Principles for The Quaternion Linear Canonical Transform
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DOI: 10.1007/s00006-019-1020-x
Abstract: The (right-sided) Quaternion Linear Canonical transform (QLCT) satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. The aim of this paper is to prove a quantitative uncertainty inequality about the essential… read more here.
Keywords: linear canonical; uncertainty; quaternion linear; canonical transform ... See more keywords
Linear Canonical Space-Time Transform and Convolution Theorems
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DOI: 10.1007/s00006-025-01386-7
Abstract: Following the idea of the fractional space-time Fourier transform, a linear canonical space-time transform for 16-dimensional space-time Cℓ3,1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C\ell _{3,1}$$\end{document}-valued signals is investigated in this paper. First,… read more here.
Keywords: canonical space; space; time transform; linear canonical ... See more keywords
Uncertainty Principles for the Two-Sided Quaternion Linear Canonical Transform
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DOI: 10.1007/s00034-020-01376-z
Abstract: The quaternion linear canonical transform (QLCT), as a generalized form of the quaternion Fourier transform, is a powerful analyzing tool in image and signal processing. In this paper, we propose three different forms of uncertainty… read more here.
Keywords: quaternion; two sided; linear canonical; uncertainty ... See more keywords
Digital computation of linear canonical transform for local spectra with flexible resolution ability
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DOI: 10.1007/s11432-018-9585-1
Abstract: Dear editor, The linear canonical transform (LCT) is a threeparameter linear integral transform [1]. It has many applications in optical systems, filter design, image watermarking, and other fields [2, 3]. Moreover, the discretization and fastness… read more here.
Keywords: resolution; linear canonical; computation; canonical transform ... See more keywords
An interplay between parameter (p, q)-Boas transform and linear canonical transform
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DOI: 10.1007/s11868-021-00417-8
Abstract: In this paper, we define and study parameter (p, q)-Boas transform of a signal in linear canonical transform domain. Also, we define the complex signals associated with parameter (p, q)-Boas transform and linear canonical transform and prove… read more here.
Keywords: linear canonical; boas transform; canonical transform; parameter boas ... See more keywords
Uncertainty principles for the offset linear canonical transform
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-021-00418-7
Abstract: In this paper, we extend some different uncertainty principles (UPs), including Miyachi’s UP and Morgan’s UP for the offset linear canonical transform (OLCT) which provides a more general framework for a number of well-known linear… read more here.
Keywords: linear canonical; canonical transform; offset linear; uncertainty principles ... See more keywords
Two-dimensional quaternion linear canonical transform: a novel framework for probability modeling
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DOI: 10.1007/s12190-025-02537-6
Abstract: In this paper, we present the two-dimensional quaternion linear canonical transform (2D QLCT) as a novel tool for probability modeling, specifically designed to enhance the analysis of multi-dimensional and complex-valued signals. We develop a comprehensive… read more here.
Keywords: probability; dimensional quaternion; framework; two dimensional ... See more keywords
Harmonic analysis associated with the linear canonical Fourier–Jacobi transform
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DOI: 10.1080/10652469.2024.2426183
Abstract: The main objective of this paper is to develop a new harmonic analysis related to a Fourier–Jacobi type operator $ \Delta _{\alpha,\beta }^m $ Δα,βm of the real line. We define and study the linear… read more here.
Keywords: jacobi transform; canonical fourier; linear canonical; fourier jacobi ... See more keywords
Multichannel Consistent Sampling and Reconstruction Associated With Linear Canonical Transform
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DOI: 10.1109/lsp.2017.2683535
Abstract: Multichannel sampling is fundamental in the theory of multichannel parallel analog-to-digital converters and multiplexing wireless communication. This letter investigates the multichannel consistent sampling theory associated with the linear canonical transform, which can combine the reconstruction… read more here.
Keywords: reconstruction; multichannel consistent; linear canonical; associated linear ... See more keywords