Asymptotically Sufficient Statistics in Nonparametric Regression Experiments with Correlated Noise by Andrew V. Carter

“…These statistics are derived from a wavelet decomposition that is used to whiten the noise process and to effectively separate high-resolution and low-resolution components. …”
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Motion Objects Segmentation and Shadow Suppressing without Background Learning by Y.-P. Guan

“…An approach to segmenting motion objects and suppressing shadows without background learning has been developed. Since wavelet transformation indicates the position of sharper variation, it is adopted to extract the information contents with the most meaningful features based on two successive video frames only. …”
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Sparse Optimization of Vibration Signal by ADMM by Song Wanqing

“…Moreover, using the discrete wavelet transform in signal reconstruction there still are some outliers but the error is unstable. …”
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Intelligent Turning Tool Monitoring with Neural Network Adaptive Learning by Maohua Du, Peixin Wang, Junhua Wang, Zheng Cheng, Shensong Wang

“…Based on LabVIEW and MATLAB hybrid programming, the waveforms of signals are observed and the significant characteristics of signals are extracted through the time-frequency domain analysis and then the calculation of the energy proportion of each frequency band obtained using 4 levels of wavelet packet decompositions of the vibration signal as well as 8 levels of wavelet multiresolution decompositions of the AE signal; the ensuing Relief-F algorithm is used to further reextract the features that are most relevant to the tool state as input of neural network pattern recognition. …”
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Research on the Correlation between Information and Communication Technology Development and Consumer Spending Based on Artificial Intelligence and Time Series Econometric Model by Chaozhi Fan, Siong Hook Law, Saifuzzaman Ibrahim, N. A. M. Naseem

“…Moreover, this paper organically combines the advantages of wavelet analysis and hidden Markov model to construct a wavelet domain hidden Markov chain model. …”
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Dynamic Response of a Beam Resting on a Nonlinear Foundation to a Moving Load: Coiflet-Based Solution by Piotr Koziol, Zdzislaw Hryniewicz

“…The solution for vibrations is obtained by using the Adomian's decomposition combined with the Fourier transform and a wavelet-based procedure for its computation. The adapted approximating method uses wavelet filters of Coiflet type that appeared a very effective tool for vibration analysis in a few earlier papers. …”
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Bolt Detection Signal Analysis Method Based on ICEEMD by Chunhui Guo, Zhan Zhang, Xin Xie, Zhengyu Yang

“…The noise of the IMFs is eliminated by the wavelet soft threshold denoising technique. Based on the approximate entropy and the wavelet denoising principle, the ICEEMD-De anchor signal analysis method is proposed. …”
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Planetary Gearbox Fault Diagnosis Using Envelope Manifold Demodulation by Weigang Wen, Robert X. Gao, Weidong Cheng

“…This method combines complex wavelet, manifold learning, and frequency spectrogram to implement planetary gear fault characteristic extraction. …”
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The influence of post-processing methods and frequency bands on rs-fMRI: An example of electroacupuncture at Zusanli (ST36) by YingJie Kang, YiLei Chen, ZhiGang Gong, YanWen Huang, Hui Wang, Jiling Huang, SongHua Zhan, YiJing Li, WenLi Tan

“…Three post-processing methods were used to evaluate the amplitude of LFOs: fractional ALFF (fALFF), percent amplitude of fluctuation (PerAF) and wavelet-transform ALFF (Wavelet-ALFF). Besides the conventional low-frequency band (0.01–0.1Hz), three additional sub-bands were observed, including slow-6 (0–0.01Hz), slow-5 (0.01–0.027Hz) and slow-4 (0.027–0.073Hz). …”
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Slow Motion and Zoom in HD Digital Videos Using Fractals by Maurizio Murroni, Cristian Perra, Daniele D. Giusto

“…Purpose of this paper is to present an alternative technique combining fractals theory and wavelet decomposition to achieve spatial zoom and slow motion replay of HD digital color video sequences. …”
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Experimental Investigation of Stall Inception Mechanisms of Low Speed Contra Rotating Axial Flow Fan Stage by Tegegn Dejene Toge, A. M. Pradeep

“…The present paper is an attempt in understanding the stall inception mechanism in a low speed, contra rotating axial flow fan stage, using wavelet transforms. The rotors used in this study have relatively large tip gap (about 3% of the blade span) and aspect ratio of 3. …”
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Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms by David W. Pravica, Njinasoa Randriampiry, Michael J. Spurr

“…In a large subset of the general case, we introduce a new family of Schwartz wavelet MADE solutions Wμ,λt for μ and λ rational with λ>0. …”
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Multi‐Wound Classification: Exploring Image Enhancement and Deep Learning Techniques by Prince Odame, Maxwell Mawube Ahiamadzor, Nana Kwaku Baah Derkyi, Kofi Agyekum Boateng, Kelvin Sarfo‐Acheampong, Eric Tutu Tchao, Andrew Selasi Agbemenu, Henry Nunoo‐Mensah, Dorothy Araba Yakoba Agyapong, Jerry John Kponyo

“…FixCaps had trainable parameters of about 8.28 MB compared with the 195.64 MB of the Gated Wavelet CNN Model.…”
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Recognition and Simulation of Exercise Mode Based on Energy Consumption Model by Yulei Li

“…This paper proposes a human movement recognition method based on hybrid features, which mostly can represent the curve of the second generation wavelet transform edge thinning, and from the edge and texture features of the optimal said human posture, the statistical characteristic of the second generation wavelet transform is subtly trained as image characteristics, learning and recognition of human movement. …”
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Hybrid Time Series Method for Long-Time Temperature Series Analysis by Guangdong Huang, Jiahong Li

“…Then, we use 10 different discrete wavelet functions to decompose and reconstruct the observed data. …”
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A Hybrid Chatter Detection Method Based on WPD, SSA, and SVM-PSO by Erhua Wang, Peng Yan, Jie Liu

“…In this paper, a hybrid chatter detection method (HCDM) is proposed for chatter feature extraction and classification in end milling. Firstly, wavelet packet decomposition is employed to decompose cutting vibration signals into a series of wavelet coefficients, and the signals of each frequency band are reconstructed. …”
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Noninvasive Load Identification Method Based on Feature Similarity by Hongyan Li, Xianfeng Ding, Dan Qu, Jiang Lin

“…In this paper, the similarity model is established to realize the noninvasive load identification of power by determining the feature database for the equipment. Firstly, the wavelet decomposition method and the wavelet threshold processing method are used to remove abnormal points and reduce noise of the original data, respectively. …”
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Damage Identification Investigation of Retaining Wall Structures Based on a Virtual Impulse Response Function by Qian Xu

“…To eliminate the influence of excitation on the wavelet packet frequency band energy spectrum (ES), ES is acquired via wavelet packet decomposition of a virtual impulse response function. …”
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Multiscale Latent Variable Regression by Mohamed N. Nounou, Hazem N. Nounou

“…Multiscale wavelet-based representation of data has been shown to be a powerful tool in feature extraction from practical process data. …”
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An Improved Method of EWT and Its Application in Rolling Bearings Fault Diagnosis by Zhicheng Qiao, Yongqiang Liu, Yingying Liao

“…The traditional empirical wavelet transform (EWT) decomposes signals into a large number of components, and it is difficult to select suitable components that contain fault information. …”
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