Sampling of Bandlimited Signals in Fractional Fourier Transform Domain

被引：0
|
作者：
Qi-Wen Ran
Hui Zhao
Li-Ying Tan
Jing Ma
机构：
[1] Harbin Institute of Technology,National Key Laboratory of Tunable Laser Technology
[2] Harbin Institute of Technology,Science Research Center, Research Academy of Science and Technology
来源：
Circuits, Systems and Signal Processing | 2010年 / 29卷
关键词：
Fractional Fourier transform; Sampling; Bandlimited signals; Reproducing kernel Hilbert space;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：459 / 467
页数：8
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