Sampling of Bandlimited Signals in Fractional Fourier Transform Domain

被引：15
|
作者：
Ran, Qi-Wen [1 ,2 ]
Zhao, Hui [1 ]
Tan, Li-Ying [1 ]
Ma, Jing [1 ]
机构：
[1] Harbin Inst Technol, Natl Key Lab Tunable Laser Technol, Harbin 150001, Peoples R China
[2] Harbin Inst Technol, Res Acad Sci & Technol, Ctr Sci Res, Harbin 150001, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2010年 / 29卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fractional Fourier transform; Sampling; Bandlimited signals; Reproducing kernel Hilbert space; ORDER;
D O I：
10.1007/s00034-010-9155-y
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：
Fractional Fourier transformed bandlimited signals are shown to form a reproducing kernel Hilbert space. Basic properties of the kernel function are applied to the study of a sampling problem in the fractional Fourier transform (FRFT) domain. An orthogonal sampling basis for the class of bandlimited signals in the FRFT domain is then given. A nonuniform sampling theorem for bandlimited signals in the FRFT domain is also presented. Numerical experiments are given to demonstrate the effectiveness of the proposed nonuniform sampling theorem.
引用
收藏
页码：459 / 467
页数：9
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