VARIATION-DIMINISHING WAVELETS AND WAVELET TRANSFORMS

被引：0
|
作者：
Pathak, R. S. [1 ]
机构：
[1] Banaras Hindu Univ, Ctr Interdisciplinary Math Sci, Varanasi 221005, Uttar Pradesh, India
来源：
REAL ANALYSIS EXCHANGE | 2011年 / 37卷 / 01期
关键词：
variation diminishing transforms; wavelets; wavelet transform; inversion of the wavelet transform; wavelets generated by H-function;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using Schoenberg's theory of variation-diminishing integral operators of convolution type variation diminishing wavelets and wavelets of specific changes in sign are constructed. An inversion formula involving derivatives of the wavelet transform is established. Wavelets generated by Tanno's form of convolution kernels and H-functions are also investigated. Results are illustrated by means of examples and figures.
引用
收藏
页码：147 / 165
页数：19
相关论文
共 50 条
  • [21] Efficiency assessment of wavelet transforms and wavelets for damage localization in beams using shearography
    Kroworz A.
    Katunin A.
    Lopes H.
    Santos J.A.D.
    Diagnostyka, 2018, 19 (04): : 71 - 79
  • [22] 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.
    WAVELETS AND SPARSITY XIV, 2011, 8138
  • [23] Vigorous Image Steganography with Transforms, Wavelet Transforms and Hybrid Wavelet Transforms
    Thepade, Sudeep D.
    Chavan, Smita S.
    2014 Annual IEEE India Conference (INDICON), 2014,
  • [24] Comparative performance of principal component analysis, Gabor wavelets and discrete wavelet transforms for face recognition
    Meade, M
    Sivakumar, SC
    Phillips, WJ
    CANADIAN JOURNAL OF ELECTRICAL AND COMPUTER ENGINEERING-REVUE CANADIENNE DE GENIE ELECTRIQUE ET INFORMATIQUE, 2005, 30 (02): : 93 - 102
  • [25] Fractional Hilbert transforms of biorthogonal wavelets
    Morimoto, Akira
    Ashino, Ryuichi
    Ikebe, Kazuma
    Tatsumi, Motoi
    Mandai, Takeshi
    2015 12TH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY - NEW GENERATIONS, 2015, : 347 - 352
  • [26] Wavelets: a new alternative to Fourier transforms
    Phillies, George D.J.
    Computers in Physics, 1996, 10 (03):
  • [27] Some remarks on Boas transforms of wavelets
    Khanna, Nikhil
    Kaushik, S. K.
    Jarrah, A. M.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2020, 31 (02) : 107 - 117
  • [28] Systolic realization of cyclic wavelet transforms and cyclic wavelet packet transforms
    Wang, JW
    Chen, CH
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1996, E79A (08) : 1240 - 1242
  • [29] Systolic realization of cyclic wavelet transforms and cyclic wavelet packet transforms
    Natl Cheng Kung Univ, Tainan, Taiwan
    IEICE Trans Fund Electron Commun Comput Sci, 8 (1240-1242):
  • [30] Wavelets transforms applied to termite detection
    De la Rosa, J. J. G.
    Lloret, I.
    Puntonet, C. G.
    Gorriz, J. M.
    2005 IEEE INTELLIGENT DATA ACQUISITION AND ADVANCED COMPUTING SYSTEMS: TECHNOLOGY AND APPLICATIONS, 2005, : 584 - 587
12345