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A Note on Some New Generalized Wavelets

Author

Listed:
  • A. Zothansanga
  • Nikhil Khanna
  • S. K. Kaushik
  • Dilip Kumar

Abstract

In this paper, we define new real wavelets based on the Hartley kernel and Boas transforms. These wavelets have possible application in analyzing both the symmetries of an asymmetric real signal. We give various results to obtain their higher vanishing moments. Finally, we give a sufficient condition under which Hartley‐Boas‐Like wavelets associated with Riesz projector forms a convolution filter with transfer function vanishing for the positive frequencies.

Suggested Citation

  • A. Zothansanga & Nikhil Khanna & S. K. Kaushik & Dilip Kumar, 2022. "A Note on Some New Generalized Wavelets," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:7511242
    DOI: 10.1155/2022/7511242
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    References listed on IDEAS

    as
    1. Nikhil Khanna & A. Zothansanga & S. K. Kaushik & Dilip Kumar & Nan-Jing Huang, 2021. "Some Properties of Fractional Boas Transforms of Wavelets," Journal of Mathematics, Hindawi, vol. 2021, pages 1-14, March.
    2. Leena Kathuria & Shashank Goel & Nikhil Khanna & Efthymios G. Tsionas, 2021. "Fourier–Boas-Like Wavelets and Their Vanishing Moments," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, March.
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