A Quotient Space Approximation Model of Multiresolution Signal Analysis

被引：0
|
作者：
Ling Zhang
Bo Zhang
机构：
[1] Anhui University,Artificial Intelligence Institute
[2] Tsinghua University,State Key Lab of Intelligent Technology and Systems, Computer Science Department
来源：
Journal of Computer Science and Technology | 2005年 / 20卷
关键词：
multi-resolution; signal analysis; wavelet transform; quotient space; the second-generation wavelets;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we present a quotient space approximation model of multiresolution signal analysis and discuss the properties and characteristics of the model. Then the comparison between wavelet transform and the quotient space approximation is made. First, when wavelet transform is viewed from the new quotient space approximation perspective, it may help us to gain an insight into the essence of multiresolution signal analysis. Second, from the similarity between wavelet and quotient space approximations, it is possible to transfer the rich wavelet techniques into the latter so that a new way for multiresolution analysis may be found.
引用
收藏
页码：90 / 94
页数：4
相关论文
共 50 条
  • [21] A Multiresolution Approximation Method for Fast Explicit Model Predictive Control
    Summers, Sean
    Jones, Colin N.
    Lygeros, John
    Morari, Manfred
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (11) : 2530 - 2541
  • [22] Scale space multiresolution analysis of random signals
    Holmstrom, Lasse
    Pasanen, Leena
    Furrer, Reinhard
    Sain, Stephan R.
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2011, 55 (10) : 2840 - 2855
  • [23] Multiresolution analysis of LP space on compact set
    Li, BZ
    Wang, HY
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) : 245 - 256
  • [24] Audio Signal Blind Deconvolution Based on the Quotient Space Hierarchical Theory
    Zhang, Chao
    Zhang, Yuan
    Wu, Xiao-pei
    ROUGH SETS AND KNOWLEDGE TECHNOLOGY, 2011, 6954 : 585 - 590
  • [25] A new nonlinear operator for multiresolution signal and image analysis
    Deniau, L
    BlancTalon, J
    ISSPA 96 - FOURTH INTERNATIONAL SYMPOSIUM ON SIGNAL PROCESSING AND ITS APPLICATIONS, PROCEEDINGS, VOLS 1 AND 2, 1996, : 447 - 450
  • [26] Quotient space model based hierarchical machine learning
    Ling, Z
    Bo, Z
    PROCEEDINGS OF THE 2005 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS AND BRAIN, VOLS 1-3, 2005, : PL81 - PL83
  • [27] Fuzzy reasoning model under quotient space structure
    Zhang, L
    Zhang, B
    INFORMATION SCIENCES, 2005, 173 (04) : 353 - 364
  • [28] A velocity alignment model on quotient spaces of the Euclidean space
    Park, Hansol
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 516 (01)
  • [29] Normal multiresolution approximation of curves
    Daubechies, I
    Runborg, O
    Sweldens, W
    CONSTRUCTIVE APPROXIMATION, 2004, 20 (03) : 399 - 463
  • [30] Multiresolution and approximation and Hardy spaces
    Beska, M
    Dziedziul, K
    JOURNAL OF APPROXIMATION THEORY, 1997, 88 (02) : 154 - 167
12345