Sampling theorems for bandlimited random signals in the offset linear canonical transform domain

被引：17

作者：

Xu Shuiqing ^{[1
,2
]}

Feng Li ^{[2
]}

Chai Yi ^{[2
]}

Hu Youqiang ^{[2
]}

Huang Lei ^{[2
]}

机构：

[1] Hefei Univ Technol, Coll Elect Engn & Automat, Hefei 230009, Anhui, Peoples R China

[2] Chongqing Univ, Coll Automat, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China

来源：

AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS | 2017年 / 81卷

基金：

中国国家自然科学基金;

关键词：

Offset linear canonical transform; Power spectral density; Correlation function; Random signals; Sampling theorems; FRACTIONAL FOURIER-TRANSFORMS; RECONSTRUCTION; EIGENFUNCTIONS; EXTRAPOLATION; SPECTRUM;

D O I：

10.1016/j.aeue.2017.07.001

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：

Sampling theorems for deterministic signals in the offset linear canonical transform (OLCT) domain have been widely proposed in the literature. In this paper, we consider the sampling and reconstruction schemes for random signals in the OLCT domain. We first define the power spectral density and correlation function for random signals in the owl. domain. By utilizing the definitions, the power spectral density relations for the OLCT filter are derived. Subsequently, the multichannel sampling theorem for bandlimited random signals in the OLCT domain is derived. In addition, some sampling theorems for bandlimited random signals associated with the OLCT are also presented by designing different OLCT filters. Finally, the simulation results are presented to show the advantage and effectiveness of the theorems. (C) 2017 Elsevier GmbH. All rights reserved.

引用

页码：114 / 119

页数：6

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