Uncertainty Principles for The Quaternion Linear Canonical Transform

被引：0

作者：

A. Achak

A. Abouelaz

R. Daher

N. Safouane

机构：

[1] University Hassan II Casablanca,Department of Mathematics, Faculty of Sciences Ain Chock

来源：

Advances in Applied Clifford Algebras | 2019年 / 29卷

关键词：

Quaternion Linear Canonical transform; Donoho–Stark’s uncertainty principle; Signal recovery; 42A38; 44A35; 34B30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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 supports of a nonzero function. We also extend signal recovery by using local uncertainty principle to the Quaternion Linear Canonical transform.

引用

共 50 条

[1] Uncertainty Principles for The Quaternion Linear Canonical Transform
Achak, A.
Abouelaz, A.
Daher, R.
Safouane, N.
[J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2019, 29 (05)
[2] A Variation on Uncertainty Principles for Quaternion Linear Canonical Transform
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[J]. Advances in Applied Clifford Algebras, 2021, 31
[3] A Variation on Uncertainty Principles for Quaternion Linear Canonical Transform
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[J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2021, 31 (03)
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[10] Uncertainty Principles for the Two-Sided Quaternion Linear Canonical Transform
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[J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2020, 39 (09) : 4436 - 4458

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