A Note on Some New Generalized Wavelets
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 conditio...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7511242 |
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| _version_ | 1832565421036797952 |
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| author | A. Zothansanga Nikhil Khanna S. K. Kaushik Dilip Kumar |
| author_facet | A. Zothansanga Nikhil Khanna S. K. Kaushik Dilip Kumar |
| author_sort | A. Zothansanga |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0cdc821514c64195943156d59553e726 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0cdc821514c64195943156d59553e7262025-02-03T01:07:35ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7511242A Note on Some New Generalized WaveletsA. Zothansanga0Nikhil Khanna1S. K. Kaushik2Dilip Kumar3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn 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.http://dx.doi.org/10.1155/2022/7511242 |
| spellingShingle | A. Zothansanga Nikhil Khanna S. K. Kaushik Dilip Kumar A Note on Some New Generalized Wavelets Journal of Mathematics |
| title | A Note on Some New Generalized Wavelets |
| title_full | A Note on Some New Generalized Wavelets |
| title_fullStr | A Note on Some New Generalized Wavelets |
| title_full_unstemmed | A Note on Some New Generalized Wavelets |
| title_short | A Note on Some New Generalized Wavelets |
| title_sort | note on some new generalized wavelets |
| url | http://dx.doi.org/10.1155/2022/7511242 |
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