Sampling of compact signals in offset linear canonical transform domains

被引：91

作者：

Stern A. ^{[1
]}

机构：

[1] Department of Electro Optics Engineering, Ben Gurion University of the Negev

来源：

Signal, Image and Video Processing | 2007年 / 1卷 / 4期

关键词：

Linear canonical transform; Offset linear canonical transform; Regular sampling; Special affine Fourier transform; Time-frequency representation; Uncertainty principle;

D O I：

10.1007/s11760-007-0029-0

中图分类号：

学科分类号：

摘要：

The offset linear canonical transform (OLCT) is the name of a parameterized continuum of transforms which include, as particular cases, the most widely used linear transforms in engineering such as the Fourier transform (FT), fractional Fourier transform (FRFT), Fresnel transform (FRST), frequency modulation, time shifting, time scaling, chirping and others. Therefore the OLCT provides a unified framework for studying the behavior of many practical transforms and system responses. In this paper the sampling theorem for OLCT is considered. The sampling theorem for OLCT signals presented here serves as a unification and generalization of previously developed sampling theorems. © 2007 Springer-Verlag London Limited.

引用

页码：359 / 367

页数：8

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