Sparse Signal Representations of Bearing Fault Signals for Exhibiting Bearing Fault Features by Wei Peng, Dong Wang, Changqing Shen, Dongni Liu

“…Firstly, to enhance bearing fault signals, particle swarm optimization is introduced to tune the parameters of wavelet transform and the optimal wavelet transform is used for retaining one of the resonant frequency bands. …”
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A Simple Hybrid Model for Short-Term Load Forecasting by Suseelatha Annamareddi, Sudheer Gopinathan, Bharathi Dora

“…The historical noisy load series data is decomposed into deterministic and fluctuation components using suitable wavelet coefficient thresholds and wavelet reconstruction method. …”
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Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model by Linqiang Yang, Yafei Liu, Hongmei Ma, Xue Liu, Shuli Mei

“…Comparatively, the method exhibits superior numerical performance to alternative wavelet spectral methods like the Shannon–Gabor wavelet.…”
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-Advanced Models for Tsunami and Rogue Waves by D. W. Pravica, N. Randriampiry, M. J. Spurr

“…A wavelet , that satisfies the q-advanced differential equation for , is used to model N-wave oscillations observed in tsunamis. …”
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Long-Term Precipitation Analysis and Estimation of Precipitation Concentration Index Using Three Support Vector Machine Methods by Milan Gocic, Shahaboddin Shamshirband, Zaidi Razak, Dalibor Petković, Sudheer Ch, Slavisa Trajkovic

“…For the purpose of PCI prediction, three Support Vector Machine (SVM) models, namely, SVM coupled with the discrete wavelet transform (SVM-Wavelet), the firefly algorithm (SVM-FFA), and using the radial basis function (SVM-RBF), were developed and used. …”
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Study on the Damage Diagnosis of Ancient Wood Structure in Tianshui under Traffic Excitation by Xin Wang, Zhaobo Meng, Xicheng Zhang

“…The node acceleration response signals on beams were decomposed with a wavelet packet. The wavelet packet energy curvature difference index was proposed to determine the structural damage location. …”
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A Novel Fault Diagnosis Approach for Rolling Bearing Based on CWT and Adaptive Sparse Representation by Xing Yuan, Huijie Zhang, Hui Liu

“…Extraction and enhancement of weak impulse signature is the key of rolling bearing fault prognostics in which case the features are often weak and covered by noise. Tunable Q-factor wavelet transform (TQWT), as an emerging wavelet construction theory developed in a frequency domain explicitly, has the advantages of matching with the specific oscillation behavior of signal components. …”
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The Influence of Interference Layer on the Prediction of Seismic Information of Channel Sedimentary Reservoir by Xiangsheng Bao, Zhanhu Cai, Qingzhen Wang, Junfeng Yu, Yecheng Li

“…When the lithological composition is relatively stable, the degree of interference of the interference layer is closely related to the seismic wavelet, and it is especially susceptible to the main frequency of the seismic wavelet. …”
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Design of Pulse Waveform for Waveform Division Multiple Access UWB Wireless Communication System by Zhendong Yin, Zhirui Wang, Xiaohui Liu, Zhilu Wu

“…A new multiple access scheme, Waveform Division Multiple Access (WDMA) based on the orthogonal wavelet function, is presented. After studying the correlation properties of different categories of single wavelet functions, the one with the best correlation property will be chosen as the foundation for combined waveform. …”
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Approach to Predict Land Subsidence in Old Goafs considering the Influence of Engineering Noise by Chao Du, Fajin Zu, Chunpeng Han

“…Combining the actual engineering subsidence monitoring data of the old goaf, compared with the prediction results of the LSTM and RNN models without DB wavelet decomposition and the gray model GM (1,1), the results show that the DB wavelet has an obvious improvement effect in reducing the influence of measurement data noise on prediction error. …”
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Structural Damage Identification Based on the Transmissibility Function and Support Vector Machine by Yansong Diao, Xue Men, Zuofeng Sun, Kongzheng Guo, Yumei Wang

“…Then two damage features, namely, wavelet packet energy vector and the low order principal components, are constructed by analyzing the amplitude of the transmissibility function with wavelet packet decomposition and principal component analysis separately. …”
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Prediction of shallow bit position based on vibration signal monitoring of bit broken rock by Jinping Yu, Deyong Zou

“…The signal is decomposed by wavelet in the time and frequency domains, and the wavelet energy coefficients of each frequency band are extracted. …”
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Revisiting the Question: The Cause of the Solar Cycle Variation of Total Solar Irradiance by N. B. Xiang

“…In order to understand the cause of the solar cycle variation of TSI, we use extension of wavelet transform, wavelet coherence (WTC), and partial wavelet coherence (PWC), to revisit this issue. …”
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Multilayered Infinite Medium Subject to a Moving Load: Dynamic Response and Optimization Using Coiflet Expansion by Piotr Koziol, M.M. Neves

“…A wavelet based approach is proposed in this paper for analysis and optimization of the dynamical response of a multilayered medium subject to a moving load with respect to the material properties and thickness of supporting half-space. …”
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Research on Recognition of Quiet Period of Sandstone Acoustic Emission Based on Four Machine Learning Algorithms by Dong Duan, Xiaojing Feng, Ruizhe Zhang, Xiaoyu Chen, Hongzhi Zhang

“…In the process of establishing the model, the time domain data of acoustic emission were standardized and processed by box diagram method, so as to clean the abnormal data and reduce the dimension, and the frequency domain data were denoised by wavelet four-layer transform and wavelet packet three-layer energy decomposition, and a group of 8 wavelet packet energy parameters were established as frequency domain characteristic parameters. …”
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PSYCHOACOUSTICALLY MOTIVATED TIME-FREQUENCY DICTIONARY BUILDING FOR UNIVERSAL SCALABLE AUDIOCODER BASED ON THE SPARSE APPROXIMATION by V. Y. Herasimovich, Al. A. Petrovsky

“…The article studies the process of creating a perceptually-motivated dictionary of the timefrequency functions based on the wavelet packet transform optimized for the input signal frame and its utilization in the universal scalable real-time audiocoder. …”
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Simulation of Novel NEMS Contact Switch Using MRTD with Alterable Steps by Wen-Ge Yu, Kang-Qu Zhou, Zheng-Zhong Wu, Ting-Hong Yang, Jing Zhao

“…The major advantage of the MRTD algorithms is their capability to develop real-time time and space adaptive grids through the efficient thresholding of the wavelet coefficients. The error between the measured and computed results is below 5%, this indicated that the Haar-wavelet-based multiresolution time domain was suitable for simulating the nano-scaling contact switch.…”
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Peak-Based Mode Decomposition for Weak Fault Feature Enhancement and Detection of Rolling Element Bearing by Zhi Xu, Gang Tang, Mengfu He

“…But peak-based wavelet parameters need to be optimized due to the determined basis function and constant resolution, which will affect the efficiency of vibration signal analysis. …”
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Construction of Target Controllable Image Segmentation Model Based on Homotopy Perturbation Technology by Shu-Li Mei

“…Combining the multiscale wavelet interpolation operator and HPM, a semianalytical numerical method can be obtained, which can improve the computational efficiency and accuracy greatly. …”
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On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods by A. K. Gupta, S. Saha Ray

“…Two reliable techniques, Haar wavelet method and optimal homotopy asymptotic method (OHAM), are presented. …”
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