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

页码：143 / 148

页数：6

共 20 条

[11] On uncertainty principles for linear canonical transform of complex signals via operator methods [J].

Shi, Jun ;

Liu, Xiaoping ;

Zhang, Naitong .

SIGNAL IMAGE AND VIDEO PROCESSING, 2014, 8 (01) :85-93

[12] Generalized convolution and product theorems associated with linear canonical transform [J].

Shi, Jun ;

Liu, Xiaoping ;

Zhang, Naitong .

SIGNAL IMAGE AND VIDEO PROCESSING, 2014, 8 (05) :967-974

[13] Sampling and Reconstruction of Signals in Function Spaces Associated With the Linear Canonical Transform [J].

Shi, Jun ;

Liu, Xiaoping ;

Sha, Xuejun ;

Zhang, Naitong .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2012, 60 (11) :6041-6047

[14] Extrapolation of Bandlimited Signals in Linear Canonical Transform Domain [J].

Shi, Jun ;

Sha, Xuejun ;

Zhang, Qinyu ;

Zhang, Naitong .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2012, 60 (03) :1502-1508

[15] Sampling of compact signals in offset linear canonical transform domains [J].

Stern A. .

Signal, Image and Video Processing, 2007, 1 (4) :359-367

[16] Sampling of linear canonical transformed signals [J].

Stern, A .

SIGNAL PROCESSING, 2006, 86 (07) :1421-1425

[17] On Sampling of Band-Limited Signals Associated With the Linear Canonical Transform [J].

Tao, Ran ;

Li, Bing-Zhao ;

Wang, Yue ;

Agarey, George Kwainina .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2008, 56 (11) :5454-5464

[18] B-SPLINE SIGNAL-PROCESSING .1. THEORY [J].

UNSER, M ;

ALDROUBI, A ;

EDEN, M .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1993, 41 (02) :821-833

[19] Multichannel sampling and reconstruction of bandlimited signals in the linear canonical transform domain [J].

Wei, D. Y. ;

Ran, Q. W. ;

Li, Y. M. .

IET SIGNAL PROCESSING, 2011, 5 (08) :717-727

[20]

Wolf K. B., 1979, INTEGRAL TRANSFORMS

← 1 2 →