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   Articles with "linear canonical" as a keyword



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Novel Uncertainty Principles for Two-Sided Quaternion Linear Canonical Transform

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recommendations! Published in 2018 at "Advances in Applied Clifford Algebras"

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
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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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Uncertainty Principles for the Two-Sided Quaternion Linear Canonical Transform

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recommendations! Published in 2020 at "Circuits, Systems, and Signal Processing"

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
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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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The Optimal Linear Canonical Wigner Distribution of Noisy Linear Frequency-Modulated Signals

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recommendations! Published in 2019 at "IEEE Signal Processing Letters"

DOI: 10.1109/lsp.2019.2922510

Abstract: A qualitative analysis to the output signal-to-noise ratio (SNR) optimization modeling and solving of Wigner distribution in linear canonical transform (LCT) domains is introduced. Within the well-established output SNR optimization model analysis framework, the strategies… read more here.

Keywords: linear canonical; wigner distribution; linear frequency; frequency modulated ... 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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Linear Canonical Stockwell Transform: Theory and Applications

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recommendations! Published in 2022 at "IEEE Transactions on Signal Processing"

DOI: 10.1109/tsp.2022.3152402

Abstract: The Stockwell transform (ST), which is a reversible method of time-frequency spectral representation, is an extension of the ideas of the wavelet transform (WT) and short-time Fourier transform (STFT). And yet, it represents the signal… read more here.

Keywords: time; linear canonical; transform; frequency ... See more keywords
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Composition of linear canonical Hankel pseudo-differential operators

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recommendations! Published in 2023 at "Asian-European Journal of Mathematics"

DOI: 10.1142/s1793557123501449

Abstract: In this paper, the study of linear canonical Hankel pseudo-differential operators has been extended to Sobolev-type spaces. Two versions of pseudo-differential operators involving linear canonical Hankel transformation are defined. We have shown that the pseudo-differential… read more here.

Keywords: pseudo differential; linear canonical; differential operators; canonical hankel ... See more keywords