Nonuniform Sampling Theorems for Bandlimited Signals in the Offset Linear Canonical Transform
Nonuniform Sampling Theorems for Bandlimited Signals in the Offset Linear Canonical Transform
复制标题
偏移线性正则变换中带限信号的非均匀采样定理
DOI：
10.1007/s00034-018-0803-y
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
He Yigang
中科院分区：
文献类型：
--
作者：
Xu Shuiqing;Huang Lei;Chai Yi;He Yigang
非均匀采样是一种重要的采样，由于不完善的时基或随机事件而在各种实际应用中出现。由于偏移线性正则变换（OLCT）已被证明是光学和信号处理的强大工具，因此探索 OLCT 域中确定性信号和随机信号的非均匀采样定理是值得且有趣的。在本文中，我们解决了与 OLCT 相关的确定性信号和随机信号的非均匀采样问题。首先，简要介绍一些特殊的非均匀采样模型。然后，获得了 OLCT 域中这些非均匀样本的确定性信号的重构定理。此外，应用该结果还推导了OLCT域随机信号的非均匀采样定理。最后给出了仿真结果，说明了方法的优点和有效性。
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.