Sampling and series expansion for linear canonical transform

被引：0
作者：
Deyun Wei
Yuan-Min Li
机构：
[1] Xidian University,School of Mathematics and Statistics
来源：
Signal, Image and Video Processing | 2014年 / 8卷
关键词：
Linear canonical transform; Linear canonical series; Band-limited signal; Sampling;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. This paper investigates new sampling relations in the LCT domain. Firstly, the relationship between linear canonical series (LCS) and LCT is introduced. The LCS expansion coefficients are the sampled values of LCT. Then, based on the conventional Fourier series and LCS, two new sampling relations in the LCT domain are presented, where the signal in the time domain is reconstructed from the samples of its LCT directly. The first theorem considers signals band-limited in some LCT domain, and the second deals with signals band-limited in the conventional Fourier transform domain.
引用
收藏
页码：1095 / 1101
页数：6
相关论文
共 76 条
[1]  
Moshinsky M(1971)Linear canonical transformations and their unitary representations J. Math. Phys. 12 1772-1783
[2]  
Quesne C(2001)Relations between fractional operations and time-frequency distributions, and their applications IEEE Trans. Signal Process. 49 1638-1655
[3]  
Pei SC(2006)Why is the linear canonical transform so little known? Proc. AIP 860 225-234
[4]  
Ding JJ(2007)Properties of the linear canonical integral transformation J. Opt. Soc. Am. A 24 3658-3665
[5]  
Stern A(2005)A multicarrier architecture based upon the affine Fourier transform IEEE Trans. Commun. 53 853-862
[6]  
Alieva T(2007)A survey of signal processing problems and tools in holographic three-dimensional television IEEE Trans. Circuit Syst. Video Technol. 17 1631-1646
[7]  
Bastiaans MJ(2006)signal separation using linear canonical and fractional Fourier transform Opt. Commun. 265 454-460
[8]  
Erseghe T.(1997)Optimal filtering with linear canonical transformations Opt. Commun. 135 32-36
[9]  
Laurenti N.(2008)Uncertainty principles in linear canonical transform domains and some of their implications in optics J. Opt. Soc. Am. A. 25 647-652
[10]  
Cellini V.(2014)On uncertainty principles for linear canonical transform of complex signals via operator methods Signal Image Video Process. 8 85-93
12345678