Periodically Nonuniform Sampling and Reconstruction of Signals in Function Spaces Associated With the Linear Canonical Transform

被引：12

作者：

Wang, Jiatong ^{[1
]}

Ren, Shiwei ^{[1
]}

Chen, Zhiming ^{[1
]}

Wang, Weijiang ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Informat & Elect, Beijing 100081, Peoples R China

来源：

IEEE COMMUNICATIONS LETTERS | 2018年 / 22卷 / 04期

关键词：

Linear canonical transform; function spaces; periodically nonuniform sampling; compactly supported synthesizing functions; BAND-LIMITED SIGNALS; THEOREMS; DOMAIN;

D O I：

10.1109/LCOMM.2018.2801871

中图分类号：

TN [电子技术、通信技术];

学科分类号：

0809 ;

摘要：

In practice, we are given only a finite number of samples. Sampling theorems with slow-decayed synthesizing functions, therefore, may not be suitable for perfect reconstruction of a signal. Focusing on this issue, we investigate the reconstruction of a periodically nonuniform sampled signal in function spaces associated with the linear canonical transform (LCT). We propose a sampling theorem in which compactly supported synthesizing functions can be guaranteed by the existence of finite impulse response perfect reconstruction filter banks associated with the LCT. We also present the simulation results to validate our algorithm.

引用

页码：756 / 759

页数：4

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