Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases by Dorothee D. Haroske, Leszek Skrzypczak

“…Essential tools are a discretisation in terms of wavelet bases, as well as a refined study of associated embeddings in sequence spaces and interpolation arguments in endpoint situations.…”
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Correlation Coefficient of Simplified Neutrosophic Sets for Bearing Fault Diagnosis by Lilian Shi

“…Vibration signals of rolling bearings are acquired by an acceleration sensor, and a morphological filter is used to reduce the noise effect. Wavelet packet is applied to decompose the vibration signals into eight subfrequency bands, and the eigenvectors associated with energy eigenvalue of each frequency are extracted for fault features. …”
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Generalized Carleson Measure Spaces and Their Applications by Chin-Cheng Lin, Kunchuan Wang

“…As applications, we give the necessary and sufficient conditions for the boundedness of wavelet multipliers and paraproduct operators acting on homogeneous Triebel-Lizorkin spaces.…”
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Four-Point n-Ary Interpolating Subdivision Schemes by Ghulam Mustafa, Robina Bashir

“…., Lagrange interpolant and wavelet theory) can also be generated by the proposed algorithm. …”
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Interpolation of Gentle Spaces by Mourad Ben Slimane, Hnia Ben Braiek

“…The notion of gentle spaces, introduced by Jaffard, describes what would be an “ideal” function space to work with wavelet coefficients. It is based mainly on the separability, the existence of bases, the homogeneity, and the γ-stability. …”
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Investigating uncertainty and parameter sensitivity in bedform analysis by using a Monte Carlo approach by J. Reich, A. Winterscheid

“…In order to increase the robustness of the workflow, we implemented a wavelet analysis based on Bedforms-ATM (Guitierrez et al., 2018), which is carried out before the zero-crossing procedure. …”
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Dynamic Interrelation between Aggregated Revenues and Expenditures of Regional-Level Budgets of Federal States: A Time-Frequency Approach to Analysis by Alan K. Karaev, Oksana S. Gorlova, Vadim V. Ponkratov, Margarita L. Vasyunina, Andrey I. Masterov, Hongor N. Zambaev, Lolita H. Gueva

“…Method: The study was conducted using wavelet coherence analysis, which made it possible to separate short-term, medium-term and long-term effects in the dynamic dependence of the analyzed variables, and identify the direction and intensity of this relationship. …”
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Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method by Mohamed R. Ali, Mohamed M. Mousa, Wen-Xiu Ma

“…The considered technique utilizes the Hybrid Orthonormal Bernstein and Block-Pulse functions wavelet method (HOBW) to solve the weakly SNVIE including Abel’s equations. …”
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Transfer Function Models with Time-Varying Coefficients by Maria Sílvia de A. Moura, Pedro A. Morettin, Clélia M. C. Toloi, Chang Chiann

“…We propose an estimation procedure, based on the least squares method and wavelet expansions of the time-varying coefficients. …”
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EMG- BASED HAND GESTURE RECOGNITION USING DEEP LEARNING AND SIGNAL-TO-IMAGE CONVERSION TOOLS by SABRINA AKTER, BIMAL KUMAR PRAMANIK, MD EKRAMUL HAMID

“…Here a threshold-based approach is also proposed to select the principal components (PCs). Then the Continuous wavelet transform (CWT) is carried out to prepare the time-frequency representation of images which is used as the input of the classifier. …”
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Some Bivariate Smooth Compactly Supported Tight Framelets with Three Generators by A. San Antolín, R. A. Zalik

“…For any dilation matrix with integer entries and , we construct a family of smooth compactly supported tight wavelet frames with three generators in . Our construction involves some compactly supported refinable functions, the oblique extension principle, and a slight generalization of a theorem of Lai and Stöckler. …”
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Chaotic Dynamics Analysis Based on Financial Time Series by Zheng Gu, Yuhua Xu

“…Firstly, the nonlinear characteristics of the data are discussed through the empirical analysis of agriculture index data; the daily agriculture index returns can be decomposed into the different scales based on wavelet analysis. Secondly, the dynamic system of some nonlinear characteristic data is established according to the Taylor series expansion form, and the corresponding dynamic characteristics are analyzed. …”
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Music Segmentation Algorithm Based on Self-Adaptive Update of Confidence Measure by Jianhua Li

“…Then, the pitch frequency is extracted, and the music fragments are roughly classified by wavelet transform to realize the preprocessing of the music fragments. …”
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Through-Wall Image Enhancement Based on Singular Value Decomposition by Muhammad Mohsin Riaz, Abdul Ghafoor

“…Information theoretic criterion is used with conventional singular value decomposition to find number of target singular values. Furthermore, wavelet transform-based denoising is performed (to further suppress noise signals) by estimating noise variance. …”
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Measuring. Monitoring. Management. Control by Yu.M. Scryabin

“…The error of the UAV flight can be reduced by combining the Morlaix wavelet function and the rational function as an analyzing one, as well as by using a three-row sensor layout.…”

Some Function Spaces via Orthonormal Bases on Spaces of Homogeneous Type by Chuang Chen, Ji Li, Fanghui Liao

“…In this paper, we establish the wavelet characterizations and provide the dualities for these spaces. …”
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Analysis of a Chaotic Memristor Based Oscillator by F. Setoudeh, A. Khaki Sedigh, M. Dousti

“…Sensitivity to initial conditions is studied by considering a nonlinear model of the system, and also a new chaos analysis methodology based on the energy distribution is presented using the Discrete Wavelet Transform (DWT). Then, using Advance Design System (ADS) software, implementation of chaotic oscillator based on the memristor is considered. …”
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Particle Size-Dependent Monthly Variation of Pollution Load, Ecological Risk, and Sources of Heavy Metals in Road Dust in Beijing, China by Cong Men, Donghui Li, Yunqi Jing, Ke Xiong, Jiayao Liu, Shikun Cheng, Zifu Li

“…The advanced three-way model and wavelet analysis were used in quantitative identification and time-series analysis of sources. …”
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Assessing groundwater level variability in response to climate change: A case study of large plain areas by Haidi Wu, Xueyan Ye, Xinqiang Du, Wuxiang Wang, Hongyan Li, Weihong Dong

“…The analysis employs univariate linear trend analysis, the Mann-Kendall test, Morlet wavelet analysis, and cross-wavelet analysis. New hydrological insights for the region: The findings indicate that the groundwater level cycle is approximately 28 years, which corresponds with the atmospheric precipitation cycle. …”
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Multiscale Systemic Risk and Its Spillover Effects in the Cryptocurrency Market by Xu Zhang, Zhijing Ding

“…However, due to the existence of the cryptocurrency bubble, investors face more difficulties in risk portfolios. We adopt wavelet packet decomposition, nonlinear Granger causality test, risk spillover network, and STVAR model; retain the mature research of multiscale systemic risk based on time and frequency; and thus extend systemic risk to different regimes. …”
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