Continuous Wavelet Transform Involving Linear Canonical Transform

被引:0
|
作者
Akhilesh Prasad
Z. A. Ansari
机构
[1] Indian Institute of Technology (Indian School of Mines),Department of Applied Mathematics
来源
关键词
Linear canonical transform; Wavelet transform; Convolution; 53D22; 47G10; 65T60;
D O I
暂无
中图分类号
学科分类号
摘要
The main objective of this paper is to study the continuous wavelet transform involving linear canonical transform (LCT) and some of its basic properties. The inversion formula and the Parseval’s relation of continuous wavelet transform are discussed. Moreover, discrete wavelet transform based on LCT is defined and studied its basic properties.
引用
收藏
页码:337 / 344
页数:7
相关论文
共 50 条
  • [1] Continuous Wavelet Transform Involving Linear Canonical Transform
    Prasad, Akhilesh
    Ansari, Z. A.
    [J]. NATIONAL ACADEMY SCIENCE LETTERS-INDIA, 2019, 42 (04): : 337 - 344
  • [2] Continuous wavelet transform involving canonical convolution
    Ansari, Zamir Ahmad
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2020, 13 (06)
  • [3] Wavelet transform associated with linear canonical Hankel transform
    Kumar, Tanuj
    Mandal, Upain Kumar
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (09) : 3167 - 3178
  • [4] Linear canonical wavelet transform and linear canonical wave packet transform on the Schwartz type spaces
    Rejini, M. Thanga
    Moorthy, R. Subash
    [J]. JOURNAL OF ANALYSIS, 2023,
  • [5] On Quantum Representation of the Linear Canonical Wavelet Transform
    Srivastava, H. M.
    Shah, Firdous A.
    Teali, Aajaz A.
    [J]. UNIVERSE, 2022, 8 (09)
  • [6] Linear canonical wavelet transform: Properties and inequalities
    Bahri, Mawardi
    Amir, Amir Kamal
    Ashino, Ryuichi
    [J]. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2021, 19 (06)
  • [7] A New Class of Linear Canonical Wavelet Transform
    Gupta, Bivek
    Verma, Amit K.
    Cattani, Carlo
    [J]. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2024, 10 (01): : 64 - 79
  • [8] Linear Canonical Wavelet Transform in Quaternion Domains
    Firdous A. Shah
    Aajaz A. Teali
    Azhar Y. Tantary
    [J]. Advances in Applied Clifford Algebras, 2021, 31
  • [9] Multiresolution analysis for linear canonical wavelet transform
    Guo, Yong
    Yang, Li-Dong
    Li, Bing-Zhao
    [J]. IAENG International Journal of Computer Science, 2019, 46 (02): : 358 - 364
  • [10] Linear Canonical Wavelet Transform in Quaternion Domains
    Shah, Firdous A.
    Teali, Aajaz A.
    Tantary, Azhar Y.
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2021, 31 (03)