Generalized entropic uncertainty principle on fractional Fourier transform

被引：30

作者：

Xu Guanlei ^{[1
,3
]}

Wang Xiaotong ^{[1
,3
]}

Xu Xiaogang ^{[2
,3
]}

机构：

[1] Dalian Naval Acad, Dept Nav, Dalian Of China 116018, Peoples R China

[2] Dalian Naval Acad, Dept Automatizat, Dalian Of China 116018, Peoples R China

[3] Dalian Naval Acad, Inst Photoelect Technol, Dalian Of China 116018, Peoples R China

来源：

SIGNAL PROCESSING | 2009年 / 89卷 / 12期

关键词：

Fractional Fourier transform (FRFT); Uncertainty principle; Shannon and Renyi entropy;

D O I：

10.1016/j.sigpro.2009.05.014

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The entropic uncertainty principle is an element in information theory and plays an important role in signal processing. Based on the relations between the original function and the definition of the fractional Fourier transform (FRFT), two novel entropic uncertainty principles in FRFT domains, in which one is Shannon entropy uncertainty principle and the other is Renyi entropy uncertainty principle, are derived, which are associated with the FRFT parameters. In addition, the extended Renyi entropy uncertainty principle for multiple functions and discrete entropy uncertainty principle are explored as well. These inequalities disclose the relations between the bounds and the transform parameters and sampling periods. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2692 / 2697

页数：6

共 25 条

[1] THE FRACTIONAL FOURIER-TRANSFORM AND TIME-FREQUENCY REPRESENTATIONS [J].