On Uncertainty Principle for Quaternionic Linear Canonical Transform

被引：68

作者：

Kou, Kit Ian ^{[1
]}

Ou, Jian-Yu ^{[1
]}

Morais, Joao ^{[2
]}

机构：

[1] Univ Macau, Fac Sci & Technol, Dept Math, Taipa, Peoples R China

[2] Univ Aveiro, Ctr Res & Dev Math & Applicat, Dept Math, Aveiro, Portugal

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

FRACTIONAL FOURIER; PHASE-SPACE; REAL SIGNALS; DOMAINS; THEOREM;

D O I：

10.1155/2013/725952

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize the linear canonical transform (LCT) to quaternion-valued signals, known as the quaternionic linear canonical transform (QLCT). Using the properties of the LCT we establish an uncertainty principle for the QLCT. This uncertainty principle prescribes a lower bound on the product of the effective widths of quaternion-valued signals in the spatial and frequency domains. It is shown that only a 2D Gaussian signal minimizes the uncertainty.

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页数：14

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