Sampling in the Linear Canonical Transform Domain

被引：7
作者：
Li, Bing-Zhao [1 ]
Xu, Tian-Zhou [1 ]
机构：
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷
基金：
北京市自然科学基金; 中国国家自然科学基金;
关键词：
BAND-LIMITED SIGNALS; UNCERTAINTY PRINCIPLES; FRACTIONAL FOURIER; RECONSTRUCTION;
D O I：
10.1155/2012/504580
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper investigates the interpolation formulae and the sampling theorem for bandpass signals in the linear canonical transform (LCT) domain. Firstly, one of the important relationships between the bandpass signals in the Fourier domain and the bandpass signals in the LCT domain is derived. Secondly, two interpolation formulae from uniformly sampled points at half of the sampling rate associated with the bandpass signals and their generalized Hilbert transform or the derivatives in the LCT domain are obtained. Thirdly, the interpolation formulae from nonuniform samples are investigated. The simulation results are also proposed to verify the correctness of the derived results.
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页数：13
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