RF Signal Feature Extraction in Integrated Sensing and Communication by Xiaoya Wang, Songlin Sun, Haiying Zhang, Qiang Liu

“…In comparison with the dual-tree complex wavelet transform (DT-CWT) feature extraction method and the wavelet scattering transform method, the DWTWS method has increased the interclass distance of different individuals and enhanced the recognition accuracy. …”
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Computational Approach for Differential Equations with Local and Nonlocal Fractional-Order Differential Operators by null Kamran, Ujala Gul, Fahad M. Alotaibi, Kamal Shah, Thabet Abdeljawad

“…Therefore, numerical inversion techniques are then used to convert the obtained solution from Laplace domain into time domain. Various famous methods for numerical inversion of Laplace transform are based on quadrature approximation of Bromwich integral. …”
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Hybrid Mamba for amphibious Limulidae low-light image enhancement by Lili Han, Xiuping Liu, Tao Xu, Yuangan Wang

“…This paper proposes a novel method for amphibious low-light image enhancement based on hybrid Mamba, which integrates wavelet transform, Discrete Cosine Transform (DCT), and Fast Fourier Transform (FFT) within the Mamba framework. …”
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基于小波—Hilbert解调的齿轮故障诊断方法 by 崔颖, 赵军, 孔明

“…A method of gear fault feature extraction based on wavelet transform and Hilbert demodulation is proposed.On the basis of fault mechanism and characteristic frequencies of gearbox fault,wavelet transform is used to decompose the vibration acceleration signals of gear faults into different frequency bands,thus realizing the extraction of nonlinear coupling characteristic frequency of gear fault,which is then used to achieve accurate fault information by Hilbert demodulation.The result shows that the proposed method can effectively improve the frequency resolution and realize accurate extraction of fault feature,and it has certain practical value for the gear fault diagnosis of automobile gearbox when applied to the automotive industry.…”
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Study of Fuzzy Fractional Nonlinear Equal Width Equation in the Sense of Novel Operator by Muhammad Naeem, Ahmed A. Khammash, Ibrahim Mahariq, Ghaylen Laouini, Jeevan Kafle

“…Several numerical examples are analyzed to validate convergence outcomes for the given problem to show the proposed method’s utility and capability. The simulation outcomes reveal that the fuzzy iterative transform method is an effective method for accurately and precisely studying the behavior of suggested problems. …”
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High-Resolution Rotor Fault Diagnosis of Wound Rotor Induction Machine Based on Stator Current Signature Analyses by Reza Ghadirinezhd, Mohammad Hoseintabar-Marzebali

“…Furthermore, computational complexity in the proposed method will be reduced in comparison to the previous conventional ones which have used the Fast Fourier transform (FFT). …”
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Nested compressive sensing for ECG signals using novel hybrid two-level approach of DWT and DCT sensing and sparsification by Subramanyam Shashi Kumar, Prakash Ramachandran

“…Abstract This paper demonstrates the merits of nested Compressive Sensing (CS) approach for Electrocardiogram (ECG) signals using discrete wavelet transform (DWT) and discrete cosine transform (DCT) as sensing matrix and sparsifying matrix. …”
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IDENTIFICATION OF DYNAMIC CHARACTERISTICS OF AIRCRAFT GAS TEMPERATURE SENSORS by A. F. Sabitov, I. A. Safina

“…The amplitude spectrum of shaped signal can be estimated by measuring equipment like LF spectrum analyzer or calculated by software package with the function of fast Fourier transform. The value of time constant of certain mathematical model of GTS can be realized with the help of regression analysis or the use of embedded resources of different data processing systems. …”
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Energy principle application to response of viscoelastic bars by Gülçin Tekin, Fethi Kadıoğlu

“…The solutions that minimise the TPE expression are real displacements, and the inverse Laplace transform method is applied to transform the function back into the time domain. …”
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Multi-sensor image fusion based on regional characteristics by Fanjie Meng, Ruixia Shi, Dalong Shan, Yang Song, Wangpeng He, Weidong Cai

“…Second, the whole scene is divided into the objects region, the smooth region, and the texture region according to different regional characteristics. Third, the non-subsampled contourlet transform is used on infrared and visible images. …”
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Vibration Theoretical Analysis of Elastically Connected Multiple Beam System under the Moving Oscillator by Binbin He, Yulin Feng

“…Finally, the expression for vibration analysis of ECMB under the moving oscillator has been derived based on finite sine-Fourier inverse transform. Using the method developed in this study and ANSYS numerical method, the vibration analysis of a four-layer beam system under moving oscillator with different speeds has been calculated. …”
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Research on Rock Fracture Surface Morphology Characterization under Brazilian Test by Zhigang Feng, Xuezai Pan, Guoxing Dai, Hongguang Liu

“…Finally, modulus maximum method of wavelet transform, including a new defined power algorithm and signal to noise ratio, and fractal variation method are used to determine the differences in rock fracture surfaces’ morphology characterization under different loading directions and rates. …”
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Design of Wideband Multifunction Antenna Array Based on Multiple Interleaved Subarrays by Longjun Li, Buhong Wang

“…The Peak Sidelobe Levels (PSLs) of the interleaved subarrays are further reduced by the iterative Fourier transform algorithm. Numerical simulation results show that favorable design of the interleaved linear antenna arrays with different carrier frequencies can be obtained by the proposed method with favorable pattern similarity, low PSL, and wide bandwidths.…”
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Detection of Delamination in Laminate Wind Turbine Blades Using One-Dimensional Wavelet Analysis of Modal Responses by Łukasz Doliński, Marek Krawczuk, Arkadiusz Żak

“…The proposed method is based on the one-dimensional continuous wavelet transform of vibration parameters of a wind turbine blade. …”
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Hybrid UM-LT-AHE Technique for Contrast Enhancement of Medical Images by Abolaji Okikiade Ilori, Kamoli Akinwale Amusa, Olumayowa Ayodeji Idowu

“… This paper is concerned with combinations of un-sharp masking, logarithmic transformation, and adaptive histogram equalization techniques to arrive at a hybrid method for enhancement of different types of medical image's contrast. …”
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Thermomechanical Fractional Model of Two Immiscible TEMHD by F. Hamza, A. M. Abd El-Latief, W. Khatan

“…The inversion of Laplace transform is obtained by using numerical method based on a Fourier-series expansion. …”
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Synthetic Aperture Interferometric Passive Radiometer Imaging to Locate Electromagnetic Leakage From Spacecraft Surface by Yuting Zhang, Jie Zhang, Yuhan Huang, Nan Dong

“…The spacecraft surface electromagnetic leakage location image is obtained through the inverse Fourier transform. A sparse sampling method based on ant colony optimization was proposed to improve testing efficiency. …”
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Frequency and Time-frequency-based Analysis of Pressure Drop Signals in Structured Packed Columns by Pietro Giustacori, Leonardo Zando, Riccardo Bacci Di Capaci, Elisabetta Brunazzi

“…Two complementary methods were used for data analysis, a Fast Fourier Transform (FFT) was used to identify the dominant frequencies associated with the flooded stationary state. …”
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Multimodal rapid identification of growth stages and discrimination of growth status for Morchella by Ning Jia, Chunjun Zheng

“…In the multimodal Morchella growth state discrimination method, text and image modalities are integrated, a Non downsampled Contourlet Transform Mask Region based Convolutional Neural Network (NSCT Mask R-CNN) model is designed, and a multimodal feature extraction strategy combining Non downsampled Contourlet Transform (NSCT) features with environmental features is explored. …”
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Computational Solution of a Fractional Integro-Differential Equation by Muhammet Kurulay, Mehmet Ali Akinlar, Ranis Ibragimov

“…Although differential transform method (DTM) is a highly efficient technique in the approximate analytical solutions of fractional differential equations, applicability of this method to the system of fractional integro-differential equations in higher dimensions has not been studied in detail in the literature. …”
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