Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform Article Swipe

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Mawardi Bahri , Samsul Ariffin Abdul Karim ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.3390/math10193502

The linear canonical wavelet transform is a nontrivial generalization of the classical wavelet transform in the context of the linear canonical transform. In this article, we first present a direct interaction between the linear canonical transform and Fourier transform to obtain the generalization of the uncertainty principles related to the linear canonical transform. We develop these principles for constructing some uncertainty principles concerning the linear canonical wavelet transform.

Related Topics

Wavelet Transform

Mathematics

Discrete Wavelet Transform

Fourier Transform

Generalization

Mathematical Analysis

Computer Science

Artificial Intelligence

Fourier Analysis

Concepts

Harmonic wavelet transform Wavelet transform Mathematics Discrete wavelet transform Fractional Fourier transform Fourier transform Stationary wavelet transform Wavelet Discrete Fourier transform (general) Generalization Constant Q transform Continuous wavelet transform Mathematical analysis Computer science Artificial intelligence Fourier analysis

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Type: article
Language: en
Landing Page: https://doi.org/10.3390/math10193502
PDF: https://www.mdpi.com/2227-7390/10/19/3502/pdf?version=1664177682
OA Status: gold
Cited By: 12
References: 35
Related Works: 10
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DOI: https://doi.org/10.3390/math10193502

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Title: Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform

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Type: article

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Language: en

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Publication year: 2022

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Publication date: 2022-09-26

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Authors: Mawardi Bahri, Samsul Ariffin Abdul Karim

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Landing page: https://doi.org/10.3390/math10193502

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Concepts: Harmonic wavelet transform, Wavelet transform, Mathematics, Discrete wavelet transform, Fractional Fourier transform, Fourier transform, Stationary wavelet transform, Wavelet, Discrete Fourier transform (general), Generalization, Constant Q transform, Continuous wavelet transform, Mathematical analysis, Computer science, Artificial intelligence, Fourier analysis

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Cited by: 12

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Citations by year (recent): 2025: 8, 2024: 2, 2023: 2

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