Pitt�s Inequality Associated with Fractional Wavelet Transform
The fractional wavelet transform is an extension of the conventional wavelet transform in the context of the fractional Fourier transform. In current work, we present the natural link between the fractional Fourier transform and conventional wavelet transform. We apply this relation to provide the...
محفوظ في:
| المؤلفون الرئيسيون: | , |
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| التنسيق: | Conference or Workshop Item |
| منشور في: |
Springer Science and Business Media B.V.
2021
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| الوصول للمادة أونلاين: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123281950&doi=10.1007%2f978-981-16-4513-6_53&partnerID=40&md5=62f28f83d0798dd816b6026585991e3d http://eprints.utp.edu.my/29296/ |
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| المؤسسة: | Universiti Teknologi Petronas |
| الملخص: | The fractional wavelet transform is an extension of the conventional wavelet transform in the context of the fractional Fourier transform. In current work, we present the natural link between the fractional Fourier transform and conventional wavelet transform. We apply this relation to provide the different proof of some fundamental properties of the fractional wavelet transform such as the orthogonality relation, inversion formula and reproducing kernel. Based on these properties and relation, we formulate Pittâ��s inequality associated with the fractional Fourier transform. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. |
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