Higher-Order Derivative Sampling Associated with Fractional Fourier Transform

被引：12

作者：

Jing, Rui-Meng ^{[1
]}

Feng, Qiang ^{[1
,2
]}

Li, Bing-Zhao ^{[1
]}

机构：

[1] Beijing Inst Technol Beijing, Sch Math & Stat, 5 Zhongguancun South St, Beijing 100081, Peoples R China

[2] Yanan Univ, Sch Math & Comp Sci, Yanan 716000, Shanxi, Peoples R China

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2019年 / 38卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Derivative sampling; Fractional Fourier transform; Uniform sampling; Recurrent nonuniform sampling; NONUNIFORM; SIGNALS; RECONSTRUCTION; FORMULAS;

D O I：

10.1007/s00034-018-0936-z

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 uniform and recurrent nonuniform higher-order derivative sampling problems associated with the fractional Fourier transform are investigated in this paper. The reconstruction formulas of a bandlimited signal from the uniform and recurrent nonuniform derivative sampling points are obtained. It is shown that if a bandlimited function f(t) has n-1 order derivative in fractional Fourier transform domain, then f(t) is determined by its uniform sampling points f(l)(knT)(l=0,1,...,n-1) or recurrent nonuniform sampling points f(l)(n(tp+kNT))(l=0,1,...,n-1;p=1,2,...,N), the related sampling rate is also reduced by n times. The examples and simulations are also performed to verify the derived results.

引用

页码：1751 / 1774

页数：24

共 35 条

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