Generating functions and wavelet-like decompositions

被引:0
|
作者
Nersessian, A [1 ]
机构
[1] Natl Acad Sci Armenia, Inst Math, Yerevan 375019, Armenia
来源
关键词
periodic wavelet theory; periodic decomposition of orthogonal bases of; Hilbert space; generating functions; stable algorithms; Gegenbauer polynomials; discrete Fourier transform;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A generalization of periodic wavelet theory is presented. The obtained results are applicable for constructing fast and stable algorithms for decompositions by classical orthogonal polynomials.
引用
收藏
页码:443 / 451
页数:9
相关论文
共 50 条
  • [31] Application of the Lifting Wavelet-Like Transform to Fast Multipole Methods
    Chen, Ming-Sheng
    Wu, Xian-Liang
    Sha, Wei
    Huang, Zhi-Xiang
    [J]. APMC: 2008 ASIA PACIFIC MICROWAVE CONFERENCE (APMC 2008), VOLS 1-5, 2008, : 561 - +
  • [32] Signal separation based on adaptive continuous wavelet-like transform and analysis
    Chui, Charles K.
    Jiang, Qingtang
    Li, Lin
    Lu, Jian
    [J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021, 53 : 151 - 179
  • [33] Feature discovering for image classification via wavelet-like pattern decomposition
    Xie, Yurui
    Li, Hongliang
    Huang, Chao
    Wu, Bo
    Xu, Linfeng
    [J]. JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, 2016, 40 : 627 - 637
  • [34] Efficient and accurate spectral analysis of large scattering problems using wavelet and wavelet-like bases
    Vidal, A
    Belenguer, A
    Esteban, H
    Boria, VE
    Bachiller, C
    Taroncher, M
    [J]. RADIO SCIENCE, 2004, 39 (05) : RS5005 - 1
  • [35] Hybrid lifting wavelet-like transform for solution of electromagnetic integral equation
    Chen Ming-Sheng
    Wu Xian-Liang
    Sha, Wei E. I.
    Huang Zhi-Xiang
    [J]. CHINESE PHYSICS LETTERS, 2008, 25 (03) : 1000 - 1003
  • [36] Higher order wavelet-like basis functions in the numerical solution of partial differential equations using the finite element method
    Gordon, RK
    Hutchcraft, WE
    [J]. PROCEEDINGS OF THE 33RD SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY, 2001, : 391 - 394
  • [37] iWave: CNN-Based Wavelet-Like Transform for Image Compression
    Ma, Haichuan
    Liu, Dong
    Xiong, Ruiqin
    Wu, Feng
    [J]. IEEE TRANSACTIONS ON MULTIMEDIA, 2020, 22 (07) : 1667 - 1679
  • [38] Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion
    Simons, Frederik J.
    Loris, Ignace
    Brevdo, Eugene
    Daubechies, Ingrid C.
    [J]. WAVELETS AND SPARSITY XIV, 2011, 8138
  • [39] Model based parameter estimation accelerated by lifting wavelet-like transform
    Chen, Ming-Sheng
    Wu, Qiong
    Sha, Wei
    Huang, Zhi-Xiang
    Wu, Xian-Liang
    [J]. Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2010, 32 (09): : 1859 - 1862
  • [40] Wavelet-like bases for thin-wire integral equations in electromagnetics
    Francomano, E
    Tortorici, A
    Toscano, E
    Ala, G
    Viola, F
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 175 (01) : 77 - 86