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On the Hilbert transform of wavelets [PDF]
IEEE Transactions on Signal Processing, 2011 A wavelet is a localized function having a prescribed number of vanishing moments. In this correspondence, we provide precise arguments as to why the Hilbert transform of a wavelet is again a wavelet.
Chaudhury, Kunal Narayan, Unser, Michael
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On the Analytic Wavelet Transform [PDF]
IEEE Transactions on Information Theory, 2010 An exact and general expression for the analytic wavelet transform of a real-valued signal is constructed, resolving the time-dependent effects of non-negligible amplitude and frequency modulation.
Lilly, Jonathan M., Olhede, Sofia C.
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The continuous generalized wavelet transform associated with q-Bessel operator
Boletim da Sociedade Paranaense de Matemática, 2022 The continuous generalized wavelet transform associated with -Bessel operator is defined, which will invariably be called continuous -Bessel wavelet transform .
M. M. Dixit +2 more
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Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform
Mathematics, 2022 The linear canonical wavelet transform is a nontrivial generalization of the classical wavelet transform in the context of the linear canonical transform.
Mawardi Bahri +1 more
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Application of Wavelet Transform to Urysohn-Type Equations
Mathematics, 2023 This paper deals with convolution-type Urysohn equations of the first kind. Finding a solution for such equations is an ill-posed problem. For it to be solved, regularization algorithms and the continuous wavelet transform are used.
V. Lukianenko, M. Kozlova, V. Belozub
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Sparse-View CT Reconstruction Based on a Hybrid Domain Model with Multi-Level Wavelet Transform
Sensors, 2022 The reconstruction of sparsely sampled projection data will generate obvious streaking artifacts, resulting in image quality degradation and affecting medical diagnosis results. Wavelet transform can effectively decompose directional components of image,
Jielin Bai, Yitong Liu, Hongwen Yang
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JUTI: Jurnal Ilmiah Teknologi Informasi, 2020 Personal identification can be done by using face, fingerprint, palm prints, eye’s retina, or voice recognition which commonly called as biometric methods. Face recognition is the most popular and widely used among those biometric methods. However, there
Afrizal Laksita Akbar +2 more
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Advances in Mechanical Engineering, 2020 Gear pump is the key component in hydraulic drive system, and it is very significant to fault diagnosis for gear pump. The combination of sparsity empirical wavelet transform and adaptive dynamic least squares support vector machine is proposed for fault
Yan Lu, Zhiping Huang
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A Review of Wavelet Analysis and Its Applications: Challenges and Opportunities
IEEE Access, 2022 As a general and rigid mathematical tool, wavelet theory has found many applications and is constantly developing. This article reviews the development history of wavelet theory, from the construction method to the discussion of wavelet properties.
Tiantian Guo +5 more
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Wavelets: a powerful tool for studying rotation, activity, and pulsation in Kepler and CoRoT stellar light curves [PDF]
, 2014 Aims. The wavelet transform has been used as a powerful tool for treating several problems in astrophysics. In this work, we show that the time-frequency analysis of stellar light curves using the wavelet transform is a practical tool for identifying ...
Bravo, J. P. +4 more
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