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Empirical Wavelet Transform [PDF]

open access: yesIEEE Transactions on Signal Processing, 2013
Some recent methods, like the Empirical Mode Decomposition (EMD), propose to decompose a signal accordingly to its contained information. Even though its adaptability seems useful for many applications, the main issue with this approach is its lack of theory. This paper presents a new approach to build adaptive wavelets. The main idea is to extract the
J. Gilles
openaire   +4 more sources

On the Hilbert transform of wavelets [PDF]

open access: yesIEEE 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
core   +3 more sources

A Review of Wavelet Analysis and Its Applications: Challenges and Opportunities

open access: yesIEEE 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
doaj   +2 more sources

On the Analytic Wavelet Transform [PDF]

open access: yesIEEE 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.
core   +4 more sources

The continuous generalized wavelet transform associated with q-Bessel operator

open access: yesBoletim 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
doaj   +1 more source

Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform

open access: yesMathematics, 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
doaj   +1 more source

Application of Wavelet Transform to Urysohn-Type Equations

open access: yesMathematics, 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
doaj   +1 more source

Sparse-View CT Reconstruction Based on a Hybrid Domain Model with Multi-Level Wavelet Transform

open access: yesSensors, 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
doaj   +1 more source

FACE RECOGNITION USING DEEP NEURAL NETWORKS WITH THE COMBINATION OF DISCRETE WAVELET TRANSFORM, STATIONARY WAVELET TRANSFORM, AND DISCRETE COSINE TRANSFORM METHODS

open access: yesJUTI: 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
doaj   +1 more source

Wavelet Scattering Transform for ECG Beat Classification

open access: yesComput. Math. Methods Medicine, 2020
An electrocardiogram (ECG) records the electrical activity of the heart; it contains rich pathological information on cardiovascular diseases, such as arrhythmia.
Zhishuai Liu   +4 more
semanticscholar   +1 more source

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