Nonuniform Sampling Theorems for Bandlimited Signals in the Offset Linear Canonical Transform

被引:20
作者
Xu Shuiqing [1 ,2 ]
Huang Lei [2 ,3 ]
Chai Yi [2 ]
He Yigang [1 ]
机构
[1] Hefei Univ Technol, Coll Elect Engn & Automat, Hefei 230009, Anhui, Peoples R China
[2] Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China
[3] Huaiyin Normal Univ, Sch Comp Sci & Technol, Huaian 223300, Peoples R China
基金
中国国家自然科学基金;
关键词
Offset linear canonical transform; Random signal; Nonuniform sampling; FRACTIONAL FOURIER; DIGITAL SPECTRUM; RECONSTRUCTION; EIGENFUNCTIONS;
D O I
10.1007/s00034-018-0803-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
Nonuniform sampling is an important kind of sampling, which arises in various real applications due to imperfect timebase or random events. As the offset linear canonical transform (OLCT) has shown to be a powerful tool for optics and signal processing, it is therefore worthwhile and interesting to explore the nonuniform sampling theorems for deterministic signals and random signals in the OLCT domain. In this paper, we address the problem of the nonuniform sampling of deterministic signals and random signals associated with the OLCT. First, some special nonuniform sampling models are briefly introduced. Then, the reconstruction theorems for deterministic signals from these nonuniform samples in the OLCT domain have been obtained. In addition, by applying the results, the nonuniform sampling theorems for random signals in the OLCT domain also have been derived. Finally, the simulation results are presented to show the advantages and effectiveness of the methods.
引用
收藏
页码:3227 / 3244
页数:18
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