Article
Engineering, Electrical & Electronic
Aswini K. Samantaray, Pranose J. Edavoor, Amol D. Rahulkar
Summary: This paper presents a novel design of a family of multiplier-free orthogonal wavelet filter banks (FBs) with low complexity. The proposed method ensures maximum number of zeros at z = -1 for a desired length of analysis and synthesis filters. A new technique is proposed to obtain dyadic filter coefficients based on double shifting orthogonality property. The designed wavelet FB improves time-frequency product, Sobolev regularity and frequency selectivity over existing wavelet FBs. In addition, a fixed point VLSI architecture is proposed for the designed family of orthogonal wavelet FBs.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY
(2022)
Article
Engineering, Multidisciplinary
Xin Zhang, Jiaxu Wang, Lei Wu, Fanshan Meng, Lei Wang, Zhiwen Liu
Summary: This study proposes a new wavelet sparsity enhancement methodology for artifact-free extraction of bearing transient vibration signatures. The wavelet sparsity is enhanced through wavelet basis design and wavelet coefficient processing. An adaptive undecimated fractional spline wavelet transform is introduced to address the shift-invariant problem and customize an optimal wavelet basis adaptively. A two-step wavelet processing method is also presented to remove low-frequency noise. The validity of the methodology is verified with analysis results of vibration signals measured from fault-injection experiment and industrial wind turbine transmission system. The methodology shows advantages in suppressing artifacts and extracting sparse transient vibration signatures of bearing structural damages.
STRUCTURAL HEALTH MONITORING-AN INTERNATIONAL JOURNAL
(2023)
Article
Engineering, Multidisciplinary
Qingchun Xiong, Xin Zhang, Jiaxu Wang, Zhiwen Liu
Summary: This paper introduces a method with hybrid regularization to achieve accurate sparse representations of fault signatures from strong noise environments. The method promotes wavelet sparsity by wavelet basis design and wavelet coefficient processing, showing great potential for signal sparse representations and machinery fault diagnostics.
MEASUREMENT SCIENCE AND TECHNOLOGY
(2021)
Review
Physics, Multidisciplinary
Rodrigo Capobianco Guido
Summary: Wavelet-based analyses have made remarkable achievements in physics and related sciences. However, many people still misunderstand the fundamentals of wavelets. This article provides clear explanations of different types of wavelet transforms and their applications, helping readers to effectively utilize wavelets in their research.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2022)
Article
Engineering, Electrical & Electronic
Bo Yu, Xiuzhu Yang
Summary: This paper investigates the Hilbert transform of B-spline wavelets, discussing properties like vanishing moments, symmetry, and asymptote behavior, as well as their potential applications in digital image processing.
IEEE SIGNAL PROCESSING LETTERS
(2021)
Review
Computer Science, Information Systems
Tiantian Guo, Tongpo Zhang, Enggee Lim, Miguel Lopez-Benitez, Fei Ma, Limin Yu
Summary: As a mathematical tool, wavelet theory has various applications and is constantly evolving. This article reviews the development history of wavelet theory and focuses on the design and expansion of wavelet transform. It also discusses the advantages of rational wavelet transform and the combination of wavelet theory and neural networks. The article introduces the categories of wavelet-based applications and summarizes the advantages of wavelet analysis in different scenarios. The review clarifies new research challenges and provides guidance for potential wavelet-based applications and new system designs.
Article
Computer Science, Artificial Intelligence
Moritz Wolter, Felix Blanke, Raoul Heese, Jochen Garcke
Summary: As neural networks are able to generate realistic artificial images, it becomes crucial to develop methods to identify and analyze these images. This study proposes a novel approach based on wavelet-packet representation for synthesized fake image analysis and detection. The results show that the proposed method achieves competitive performance on small network sizes.
Article
Mathematics, Applied
Guillaume Herpe, Julien Dambrine, Ines Bennis, Clement Thomas, Stephane Velasco, Remy Guillevin
Summary: Cerebral Angiography analysis is crucial for assessing the future of stroke patients who underwent thrombolysis, with the parenchymogram containing valuable information on reperfusion quality. The proposed methods for extracting the parenchymogram from raw angiographies rely on basis pursuit and overcomplete wavelet transform for image representation, showing essential information for comparing blood flow before and after thrombolysis in clinical data.
Article
Mathematics, Applied
Akhilesh Prasad, Jeetendrasingh Maan, Sandeep Kumar Verma
Summary: This paper discusses the relationship between the continuous wavelet transform and the Whittaker transform, including the existence theorem, reconstruction formula, composition, Plancherel's and Parseval's relations, as well as the properties of the discrete version and its reconstruction formula.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Engineering, Mechanical
Zhonghong Yan, Peipei Chao, Jingxuan Ma, Duanqian Cheng, Chuan Liu
Summary: This paper introduces a new method called Discrete Convolution Wavelet Transform (DCWT) for signal decomposition and reconstruction, which can decompose and reconstruct original signal by two groups of filters. The DCWT method can fast decompose signal to obtain its feature signals, and it will become a new idea of signal decomposing and identifying in practice.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Mathematics, Applied
Albert Chua, Matthew Hirn, Anna Little
Summary: In this paper, we generalize and study finite depth wavelet scattering transforms. We provide norms for these operators and prove their continuity and invariance under specific conditions.
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
(2024)
Article
Engineering, Multidisciplinary
Christos Nastos, Dimitris A. Saravanos
Summary: A new computational approach utilizing the multiresolution capability of Daubechies wavelets has been developed for predicting wave propagation in one- and two-dimensional structural configurations, showing substantial computational gains compared to other established methods.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Mathematics, Applied
Debabrata Singh, M. K. Saha, Sayan Banik, Madan Mohan Panja
Summary: This investigation aims to obtain an accurate approximation of the spectrum of Sturm-Liouville problems in Double-struck capital R+ by representing the unknown solution in the interpolating wavelet basis of L2(Double-struck capital R). The study uses domain stretching and equation transformation techniques to handle the problem, and approximates the new function using an appropriate basis generated by scale functions. The results show that the interpolating wavelet basis obtained through the collocation method can reliably reveal the spectrum of solvable and quasi-exactly solvable Sturm-Liouville problems in Double-struck capital R+ with high accuracy.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Engineering, Electrical & Electronic
Yiqing Yu, Wei Zhao, Shisong Li, Songling Huang
Summary: This article proposes a novel method for monitoring instantaneous PQ indices in single- and three-phase systems, effectively separating interharmonics and transient disturbances to track transitory changes in power systems with high accuracy.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2021)
Article
Energy & Fuels
Jonghoon Kim, Hany M. Hasanien, Roland Kobla Tagayi
Summary: This paper introduces a novel method for noise suppression in lithium-ion battery SOC estimation, using discrete wavelet transform. By comparing different mother wavelets and decomposition levels, the denoising effectiveness is evaluated, and optimal parameters for battery packs with noise are identified.
JOURNAL OF ENERGY STORAGE
(2023)
Article
Computer Science, Interdisciplinary Applications
Thiago L. T. da Silveira, Alice J. Kozakevicius, Cesar R. Rodrigues
MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING
(2017)
Article
Computer Science, Artificial Intelligence
Carla Diniz Lopes, Tiago Becker, Alice de Jesus Kozakevicius, Alberto A. Rasia-Filho, Benoit Macq, Altamiro Amadeu Susin
NEURAL COMPUTING & APPLICATIONS
(2017)
Article
Thermodynamics
Alex A. Schmidt, Alice de Jesus Kozakevicius, Stefan Jakobsson
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2017)
Article
Physics, Applied
D. A. Peraza-Salcedo, J. J. Rodriguez-Nunez, I. Bonalde, A. A. Schmidt
PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS
(2017)
Article
Chemistry, Physical
Raisi N. Lenz Baldez, Paulo Piquini, Alex A. Schmidt, Marcelo A. Kuroda
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
(2017)
Article
Engineering, Electrical & Electronic
Fabio M. Bayer, Alice J. Kozakevicius, Renato J. Cintra
Proceedings Paper
Mathematical & Computational Biology
Alex A. Schmidt, Alice J. Kozakevicius, Dia Zeidan, Stefan Jakobsson
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019
(2020)
Proceedings Paper
Computer Science, Interdisciplinary Applications
Ricardo S. Rodrigues, Marcia Pasin, Alice Kozakevicius, Vinicius Monego
2019 IEEE 43RD ANNUAL COMPUTER SOFTWARE AND APPLICATIONS CONFERENCE (COMPSAC), VOL 1
(2019)
Proceedings Paper
Mathematics, Applied
Alex A. Schmidt, Alice J. Kozakevicius, Dia Zeidan, Stefan Jakobsson
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM-2018)
(2019)
Article
Thermodynamics
Alice de Jesus Kozakevicius, Dia Zeidan, Alex A. Schmidt, Stefan Jakobsson
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2018)
Proceedings Paper
Mathematics, Applied
Dia Zeidan, Alice J. Kozakevicius, Alex A. Schmidt, Stefan Jakobsson
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015)
(2016)
Proceedings Paper
Mathematics, Applied
Alex A. Schmidt, Alice J. Kozakevicius, Stefan Jakobsson
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015)
(2016)
