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   Articles with "canonical transform" as a keyword



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Uncertainty Principles for The Quaternion Linear Canonical Transform

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recommendations! Published in 2019 at "Advances in Applied Clifford Algebras"

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
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Digital computation of linear canonical transform for local spectra with flexible resolution ability

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recommendations! Published in 2019 at "Science China Information Sciences"

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
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An interplay between parameter (p, q)-Boas transform and linear canonical transform

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recommendations! Published in 2021 at "Journal of Pseudo-Differential Operators and Applications"

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
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Uncertainty principles for the offset linear canonical transform

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recommendations! 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
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Multichannel Consistent Sampling and Reconstruction Associated With Linear Canonical Transform

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recommendations! Published in 2017 at "IEEE Signal Processing Letters"

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
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Error Analysis of Reconstruction From Linear Canonical Transform Based Sampling

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recommendations! Published in 2018 at "IEEE Transactions on Signal Processing"

DOI: 10.1109/tsp.2018.2793866

Abstract: In this paper, we consider the performance of sampling associated with the linear canonical transform (LCT), which generalizes a large number of classical integral transforms and fundamental operations linked to signal processing and optics. First,… read more here.

Keywords: linear canonical; lct domain; error; canonical transform ... See more keywords
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A Convolution Theorem Related to Quaternion Linear Canonical Transform

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recommendations! Published in 2019 at "Abstract and Applied Analysis"

DOI: 10.1155/2019/3749387

Abstract: We introduce the two-dimensional quaternion linear canonical transform (QLCT), which is a generalization of the classical linear canonical transform (LCT) in quaternion algebra setting. Based on the definition of quaternion convolution in the QLCT domain… read more here.

Keywords: quaternion; linear canonical; quaternion linear; canonical transform ... See more keywords
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Modeling Herriott cells using the linear canonical transform.

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recommendations! Published in 2017 at "Applied optics"

DOI: 10.1364/ao.56.000267

Abstract: We demonstrate a new way to analyze stable, multipass optical cavities (Herriott cells), using the linear canonical transform formalism, showing that re-entrant designs reproduce an arbitrary input field at the output, resulting in useful symmetries.… read more here.

Keywords: linear canonical; canonical transform; using linear; cells using ... See more keywords
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Convolution, Correlation, and Uncertainty Principles for the Quaternion Offset Linear Canonical Transform

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recommendations! Published in 2023 at "Mathematics"

DOI: 10.3390/math11092201

Abstract: Quaternion Fourier transform (QFT) has gained significant attention in recent years due to its effectiveness in analyzing multi-dimensional signals and images. This article introduces two-dimensional (2D) right-sided quaternion offset linear canonical transform (QOLCT), which is… read more here.

Keywords: offset linear; linear canonical; transform; canonical transform ... See more keywords
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A Variation on Inequality for Quaternion Fourier Transform, Modified Convolution and Correlation Theorems for General Quaternion Linear Canonical Transform

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14071303

Abstract: The quaternion linear canonical transform is an important tool in applied mathematics and it is closely related to the quaternion Fourier transform. In this work, using a symmetric form of the two-sided quaternion Fourier transform… read more here.

Keywords: quaternion linear; quaternion; transform; linear canonical ... See more keywords
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Sampling Techniques and Error Estimation for Linear Canonical S Transform Using MRA Approach

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14071416

Abstract: A linear canonical S transform (LCST) is considered a generalization of the Stockwell transform (ST). It analyzes signals and has multi-angle, multi-scale, multiresolution, and temporal localization abilities. The LCST is mostly suitable to deal with… read more here.

Keywords: linear canonical; transform; mra approach; canonical transform ... See more keywords