Comments on "A Convolution and Product Theorem for the Linear Canonical Transform"

被引：8

作者：

Deng, Bing ^{[1
]}

Tao, Ran ^{[2
]}

Wang, Yue ^{[2
]}

机构：

[1] Naval Aeronaut & Astronaut Univ, Elect & Informat Engn Dept, Yantai 264001, Peoples R China

[2] Beijing Inst Technol, Dept Elect Engn, Beijing 100081, Peoples R China

来源：

IEEE SIGNAL PROCESSING LETTERS | 2010年 / 17卷 / 06期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Multiplicative filter; linear canonical transform; computational complexity;

D O I：

10.1109/LSP.2010.2045547

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：

A recent letter proposed a new convolution structure for the linear canonical transform [1], and claimed that theirs was clearly easier to implement in the designing of filters than the one suggested earlier in [2]. However, we find that the two kinds of filtering methods are essentially the same through the theoretic deduction. That is to say, the two kinds of filtering methods can obtain the same effect through the same filtering steps. Taking digital signal processing into account, we analyze further the computation complexity according to the steps of multiplicative filter.

引用

页码：615 / 616

页数：2

共 3 条

[1] Convolution theorems for the linear canonical transform and their applications [J].

Deng Bing ;

Tao Ran ;

Wang Yue .

SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2006, 49 (05) :592-603

[2] LINEAR CANONICAL TRANSFORMATIONS AND THEIR UNITARY REPRESENTATIONS [J].

MOSHINSKY, M ;

QUESNE, C .

JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (08) :1772-+

[3] A Convolution and Product Theorem for the Linear Canonical Transform [J].

Wei, Deyun ;

Ran, Qiwen ;

Li, Yuanmin ;

Ma, Jing ;

Tan, Liying .

IEEE SIGNAL PROCESSING LETTERS, 2009, 16 (10) :853-856

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