UM  > 科技學院  > 數學系
Envelope detection using generalized analytic signal in 2D QLCT domains
Kou, Kit Ian1,2; Liu, Ming-Sheng1; Pedro Morais, Joao3; Zou, Cuiming2
2017-10
Source PublicationMULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING
ISSN0923-6082
Volume28Issue:4Pages:1343-1366
Abstract

The hypercomplex 2D analytic signal has been proposed by several authors with applications in color image processing. The analytic signal enables to extract local features from images. It has the fundamental property of splitting the identity, meaning that it separates qualitative and quantitative information of an image in form of the local phase and the local amplitude. The extension of analytic signal of linear canonical transform domain from 1D to 2D, covering also intrinsic 2D structures, has been proposed. We use this improved concept on envelope detector. The quaternion Fourier transform plays a vital role in the representation of multidimensional signals. The quaternion linear canonical transform (QLCT) is a well-known generalization of the quaternion Fourier transform. Some valuable properties of the two-sided QLCT are studied. Different approaches to the 2D quaternion Hilbert transforms are proposed that allow the calculation of the associated analytic signals, which can suppress the negative frequency components in the QLCT domains. As an application, examples of envelope detection demonstrate the effectiveness of our approach.

KeywordQuaternion Fourier Transform Quaternion Linear Canonical Transform Hilbert Transform Analytic Signal Instantaneous Amplitude
DOI10.1007/s11045-016-0410-7
URLView the original
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Theory & Methods ; Engineering, Electrical & Electronic
WOS IDWOS:000408647400012
PublisherSPRINGER
The Source to ArticleWOS
全文获取链接
引用统计
被引频次[WOS]:3   [WOS记录]     [WOS相关记录]
Document TypeJournal article
专题DEPARTMENT OF MATHEMATICS
Affiliation1.School of Mathematical Sciences, South China Normal University, Guangzhou 510631, Guangdong, People’s Republic of China
2.Department of Mathematics, University of Macau, Taipa, Macao (Via Hong Kong)
3.Departamento de Matemáticas, Instituto Tecnológico Autónomo de México, Río Hondo #1, Col. Progreso Tizapan, 01080 Mexico, DF, Mexico
First Author AffilicationUniversity of Macau
推荐引用方式
GB/T 7714
Kou, Kit Ian,Liu, Ming-Sheng,Pedro Morais, Joao,et al. Envelope detection using generalized analytic signal in 2D QLCT domains[J]. MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING,2017,28(4):1343-1366.
APA Kou, Kit Ian,Liu, Ming-Sheng,Pedro Morais, Joao,&Zou, Cuiming.(2017).Envelope detection using generalized analytic signal in 2D QLCT domains.MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING,28(4),1343-1366.
MLA Kou, Kit Ian,et al."Envelope detection using generalized analytic signal in 2D QLCT domains".MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING 28.4(2017):1343-1366.
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
Google Scholar
中相似的文章 Google Scholar
[Kou, Kit Ian]的文章
[Liu, Ming-Sheng]的文章
[Pedro Morais, Joao]的文章
Baidu academic
中相似的文章 Baidu academic
[Kou, Kit Ian]的文章
[Liu, Ming-Sheng]的文章
[Pedro Morais, Joao]的文章
Bing Scholar
中相似的文章 Bing Scholar
[Kou, Kit Ian]的文章
[Liu, Ming-Sheng]的文章
[Pedro Morais, Joao]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。