A study of biorthogonal multiple vector-valued wavelets

被引：2

作者：

Han, Jincang ^{[1
,2
]}

Cheng, Zhengxing ^{[1
]}

Chen, Qingjiang ^{[3
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China

[2] Lanzhou Commercial Coll, Sch Informat, Lanzhou 730000, Peoples R China

[3] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 04期

关键词：

SPACE-TIME; CONSTRUCTION; SIGNAL;

D O I：

10.1016/j.chaos.2007.09.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of vector-valued multiresolution analysis is introduced and the concept of biorthogonal multiple vector-valued wavelets which are wavelets for vector fields, is introduced. It is proved that, like in the scalar and multiwavelet case, the existence of a pair of biorthogonal multiple vector-valued scaling functions guarantees the existence of a pair of biorthogonal multiple vector-valued wavelet functions. An algorithm for constructing a class of compactly supported biorthogonal multiple vector-valued wavelets is presented. Their properties are investigated by means of operator theory and algebra theory and time-frequency analysis method. Several biorthogonality formulas regarding these wavelet packets are obtained. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1574 / 1587

页数：14

共 50 条

[41] Co-expression of multiple target proteins in plants from a tobacco mosaic virus vector using a combination of homologous and heterologous subgenomic promoters [J].

Roy, Gourgopal ;

Weisburg, Sangeetha ;

Foy, Kelly ;

Rabindran, Shailaja ;

Mett, Vadim ;

Yusibov, Vidadi .

ARCHIVES OF VIROLOGY, 2011, 156 (11) :2057-2061

[42] Post Occupancy Evaluation of School Refurbishment Projects: Multiple Case Study in the UK [J].

Ahmed, Hamad ;

Edwards, David J. ;

Lai, Joseph H. K. ;

Roberts, Chris ;

Debrah, Caleb ;

Owusu-Manu, De-Graft ;

Thwala, Wellington Didibhuku .

BUILDINGS, 2021, 11 (04)

[43] Information processing for end-of-life coordination: a multiple-case study [J].

van den Berg, Marc ;

Voordijk, Hans ;

Adriaanse, Arjen .

CONSTRUCTION INNOVATION-ENGLAND, 2020, 20 (04) :647-671

[44] A comparative study of multiple music signal noise reduction algorithms in music processing [J].

Ma S. .

Noise and Vibration Worldwide, 2023, 54 (06) :291-296

[45] Study on the properties variation of recycled concrete paving block containing multiple waste materials [J].

Wang, Xinyi ;

Chin, Chee Seong ;

Xia, Jun .

CASE STUDIES IN CONSTRUCTION MATERIALS, 2023, 18

[46] Collaborative Evaluation Method of Multiple Team Membership: Case Study of Engineering Design Company [J].

Jiang, Qi ;

Qiang, Maoshan ;

Lin, Chen .

JOURNAL OF MANAGEMENT IN ENGINEERING, 2022, 38 (06)

[47] Behind Subcontractor Risk: A Multiple Case Study Analysis of Mining and Natural Resources Fatalities [J].

Valluru, Charan Teja ;

Rae, Andrew ;

Dekker, Sidney .

SAFETY, 2020, 6 (03)

[48] The Simulation Study Of Ultrasonic Signal From Multiple Measurement Points Based On The Radial Pipe [J].

Wang Yueming ;

Wang Peng ;

Yao Guodong ;

Jia Hua ;

Li Wentao ;

Zhang Yaoyao .

PROCEEDINGS OF THE 2017 2ND JOINT INTERNATIONAL INFORMATION TECHNOLOGY, MECHANICAL AND ELECTRONIC ENGINEERING CONFERENCE (JIMEC 2017), 2017, 62 :129-132

[49] Dynamic Relationship Between Water Resources and New Urbanization Based on a Vector Autoregressive Model: A Case Study of Hebei Province, China [J].

Li, Shule ;

Yan, Jingjing ;

Pei, Qiuming ;

Sha, Jinghua ;

Liu, Fei .

FRONTIERS IN ENVIRONMENTAL SCIENCE, 2022, 10

[50] Neuronal Activation Detection Using Vector Phase Analysis with Dual Threshold Circles: A Functional Near-Infrared Spectroscopy Study [J].

Zafar, Amad ;

Hong, Keum-Shik .

INTERNATIONAL JOURNAL OF NEURAL SYSTEMS, 2018, 28 (10)

← 1 2 3 4 5 →