Sampling expansion in function spaces associated with the linear canonical transform

被引：3
|
作者：
Liu, Xiaoping [1 ]
Shi, Jun [1 ]
Sha, Xuejun [1 ]
Zhang, Naitong [1 ,2 ]
机构：
[1] Harbin Inst Technol, Commun Res Ctr, Harbin 150001, Peoples R China
[2] Harbin Inst Technol, Shenzhen Grad Sch, Shenzhen 518055, Peoples R China
来源：
SIGNAL IMAGE AND VIDEO PROCESSING | 2014年 / 8卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Linear canonical transform; Riesz bases; Frames; Function spaces; Sampling theorem; BAND-LIMITED SIGNALS; RECONSTRUCTION; DOMAIN;
D O I：
10.1007/s11760-013-0507-5
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：
In this paper, we investigate sampling expansion for the linear canonical transform (LCT) in function spaces. First, some properties of the function spaces related to the LCT are obtained. Then, a sampling theorem for the LCT in function spaces with a single-frame generator is derived by using the Zak Transform and its generalization to the LCT domain. Some examples are also presented.
引用
收藏
页码：143 / 148
页数：6
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