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Journal articles on the topic 'Continuous Wavelet Transforms (CWT)'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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1

Abdullah, Shahrum, S. N. Sahadan, Mohd Zaki Nuawi, and Zulkifli Mohd Nopiah. "Fatigue Data Analysis Using Continuous Wavelet Transform and Discrete Wavelet Transform." Key Engineering Materials 462-463 (January 2011): 461–66. http://dx.doi.org/10.4028/www.scientific.net/kem.462-463.461.

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The wavelet transform is well known for its ability in vibration analysis in fault detection. This paper presents the ability of wavelet transform in fatigue data analysis starts from high amplitude events detection and it is then followed by fatigue data extraction based on wavelet coefficients. Since the wavelet transform has two main categories, i.e. the continuous wavelet transforms (CWT) and the discrete wavelet transform (DWT), the comparison study were carried out in order to investigate performance of both wavelet for fatigue data analysis. CWT represents by the Morlet wavelet while DW

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Prasad, Akhilesh, and U. K. Mandal. "Wavelet transforms associated with the Kontorovich–Lebedev transform." International Journal of Wavelets, Multiresolution and Information Processing 15, no. 02 (2017): 1750011. http://dx.doi.org/10.1142/s0219691317500114.

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The main objective of this paper is to study continuous wavelet transform (CWT) using the convolution theory of Kontorovich–Lebedev transform (KL-transform) and discuss some of its basic properties. Plancherel’s as well as Parseval’s relation and Reconstruction formula for CWT are obtained and some examples are also given. The discrete version of the wavelet transform associated with KL-transform is also given and reconstruction formula is derived.

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3

Wachowiak, Mark P., Renata Wachowiak-Smolíková, Michel J. Johnson, Dean C. Hay, Kevin E. Power, and F. Michael Williams-Bell. "Quantitative feature analysis of continuous analytic wavelet transforms of electrocardiography and electromyography." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2126 (2018): 20170250. http://dx.doi.org/10.1098/rsta.2017.0250.

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Theoretical and practical advances in time–frequency analysis, in general, and the continuous wavelet transform (CWT), in particular, have increased over the last two decades. Although the Morlet wavelet has been the default choice for wavelet analysis, a new family of analytic wavelets, known as generalized Morse wavelets, which subsume several other analytic wavelet families, have been increasingly employed due to their time and frequency localization benefits and their utility in isolating and extracting quantifiable features in the time–frequency domain. The current paper describes two pra

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Guido, Rodrigo Capobianco, Fernando Pedroso, André Furlan, Rodrigo Colnago Contreras, Luiz Gustavo Caobianco, and Jogi Suda Neto. "CWT × DWT × DTWT × SDTWT: Clarifying terminologies and roles of different types of wavelet transforms." International Journal of Wavelets, Multiresolution and Information Processing 18, no. 06 (2020): 2030001. http://dx.doi.org/10.1142/s0219691320300017.

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Wavelets have been placed at the forefront of scientific researches involving signal processing, applied mathematics, pattern recognition and related fields. Nevertheless, as we have observed, students and young researchers still make mistakes when referring to one of the most relevant tools for time–frequency signal analysis. Thus, this correspondence clarifies the terminologies and specific roles of four types of wavelet transforms: the continuous wavelet transform (CWT), the discrete wavelet transform (DWT), the discrete-time wavelet transform (DTWT) and the stationary discrete-time wavelet

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Wang, Ning, and Chungu Lu. "Two-Dimensional Continuous Wavelet Analysis and Its Application to Meteorological Data." Journal of Atmospheric and Oceanic Technology 27, no. 4 (2010): 652–66. http://dx.doi.org/10.1175/2009jtecha1338.1.

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Abstract The two-dimensional continuous wavelet transform (2D CWT) has become an important tool to examine and diagnose nonstationary datasets on the plane. Compared with traditional spectral analysis methods, the 2D CWT provides localized spectral information of the analyzed dataset. It also has the advantage over the 2D discrete wavelet transform (DWT) in that it covers the domain of the analyzed data with a continuous analysis from which detailed, shift-invariant spectral information of different positions and orientations can be obtained. In this paper, a brief introduction of the 2D CWT a

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Cavalier, P., and D. W. O’Hagan. "A new potential field shape descriptor using continuous wavelet transforms." GEOPHYSICS 85, no. 5 (2020): G81—G92. http://dx.doi.org/10.1190/geo2018-0427.1.

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Potential field characterization aims at determining source depths, inclination, and type, preferably without a priori information. For ideal sources, the type is often defined from the field’s degree of homogeneity, derived from its expression in the space domain. We have developed a new shape descriptor for potential field source functions, stemming from spectral-domain parameters, which manifest clearly when using continuous wavelet transforms (CWTs). We generalize the use of the maximum wavelet coefficient points in the CWT diagram for the analysis of all types of potential fields (gravity

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Revathi, J., J. Anitha, and D. Jude Hemanth. "An intelligent medical decision support system for diagnosis of heart abnormalities in ECG signals." Intelligent Decision Technologies 15, no. 1 (2021): 19–31. http://dx.doi.org/10.3233/idt-200037.

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This work describes a novel method to detect a Bundle branch block and myocardial infarction from the multi-lead ECG signal. The clinical characteristics of BBB and MI extracted by using a derivative filter and continuous wavelet transform (CWT). The signal with the frequency below 50 Hz obtained and derivative-based filter applied to extract features. The continuous wavelet transforms also applied to the signals of BBB and MI. The CWT coefficients extracted, and the signals reconstructed from the wavelet to obtain the features. The feature vectors generated from each lead of both the methods

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Garcés, Milton A. "Quantized Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures." Entropy 22, no. 9 (2020): 936. http://dx.doi.org/10.3390/e22090936.

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Increased data acquisition by uncalibrated, heterogeneous digital sensor systems such as smartphones present new challenges. Binary metrics are proposed for the quantification of cyber-physical signal characteristics and features, and a standardized constant-Q variation of the Gabor atom is developed for use with wavelet transforms. Two different continuous wavelet transform (CWT) reconstruction formulas are presented and tested under different signal to noise ratio (SNR) conditions. A sparse superposition of Nth order Gabor atoms worked well against a synthetic blast transient using the wavel

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9

ANTOINE, JEAN-PIERRE, I. BOGDANOVA, and P. VANDERGHEYNST. "THE CONTINUOUS WAVELET TRANSFORM ON CONIC SECTIONS." International Journal of Wavelets, Multiresolution and Information Processing 06, no. 02 (2008): 137–56. http://dx.doi.org/10.1142/s0219691308002288.

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We review the coherent state (or group-theoretical) construction of the continuous wavelet transform (CWT) on the two-sphere. Next, we describe the construction of a CWT on the upper sheet of a two-sheeted hyperboloid, emphasizing the similarities between the two cases. Finally, we give some indications on the CWT on a paraboloid and we introduce a unified approach to the CWT on conic sections.

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Debbal, S. M., and F. Bereksi-Reguig. "COMPLEMENTARY ANALYSIS TO HEART SOUNDS WHILE USING THE SHORT TIME FOURIER AND THE CONTINUOUS WAVELET TRANSFORMS." Biomedical Engineering: Applications, Basis and Communications 19, no. 05 (2007): 331–39. http://dx.doi.org/10.4015/s1016237207000434.

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This paper presents the analysis and comparisons of the short time Fourier transform (STFT) and the continuous wavelet transform techniques (CWT) to the four sounds analysis (S1, S2, S3 and S4). It is found that the spectrogram short-time Fourier transform (STFT), cannot perfectly detect the internals components of these sounds that the continuous wavelet transform. However, the short time Fourier transform can provide correctly the extent of time and frequency of these four sounds. Thus, the STFT and the CWT techniques provide more features and characteristics of the sounds that will hemp phy

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Dinç, Erdal, and Dumitru Baleanu. "Application of the Wavelet Method for the Simultaneous Quantitative Determination of Benazepril and Hydrochlorothiazide in Their Mixtures." Journal of AOAC INTERNATIONAL 87, no. 4 (2004): 834–41. http://dx.doi.org/10.1093/jaoac/87.4.834.

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Abstract The discrete and continuous wavelet transforms were applied to the overlapping signal analysis of the ratio data signal for simultaneous quantitative determination of the title subject compounds in samples. The ratio spectra data of the binary mixtures containing benazepril (BE) and hydrochlorothiazide (HCT) were transferred as data vectors into the wavelet domain. Signal compression, followed by a 1-dimension continuous wavelet transform (CWT), was used to obtain coincident transformed signals for pure BE and HCT and their mixtures. The coincident transformed amplitudes corresponding

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Zhao, Jisheng, András Nemes, David Lo Jacono, and John Sheridan. "Branch/mode competition in the flow-induced vibration of a square cylinder." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2126 (2018): 20170243. http://dx.doi.org/10.1098/rsta.2017.0243.

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The flow-induced vibration response of a square cross-sectional cylinder with low mass and damping ratio is analysed using continuous wavelet transforms (CWT) for three representative angles of attack of the cylinder to the incoming flow. The amplitude and frequency responses over a range of flow velocities map out multiple regimes (branches) of oscillation. Analysis of the time–frequency domain for boundary regions between branches using CWT reveals intermittency at the synchronization region boundaries as well as mode competition at branch boundaries. Complementary recurrence analysis shows

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Khamukhin, Alexander A., and Alexey A. Khamukhin. "Preprocessing of Coefficients for Reusable Continuous Wavelet Transform." Advanced Materials Research 1040 (September 2014): 975–79. http://dx.doi.org/10.4028/www.scientific.net/amr.1040.975.

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The division into two stages of the Continuous Wavelet Transform (CWT) computing is proposed. This is expedient in circumstances when CWT is repeated many times, e.g., for online detection of nonstationary signal singularities. It is shown that the preprocessing of wavelet coefficients in the first stage can significantly reduce computing time required in the second stage. The comparative estimation of the runtime reduction in the second stage of CWT calculation is deduced.

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ABIBULLAEV, BERDAKH, HEE DON SEO, and MIN SOO KIM. "EPILEPTIC SPIKE DETECTION USING CONTINUOUS WAVELET TRANSFORMS AND ARTIFICIAL NEURAL NETWORKS." International Journal of Wavelets, Multiresolution and Information Processing 08, no. 01 (2010): 33–48. http://dx.doi.org/10.1142/s0219691310003341.

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We propose a new method for detection and classification of noisy recorded epileptic transients in Electroencephalograms (EEG) using the continuous wavelet transform (CWT) and artificial neural networks (ANN). The proposed method consists of a segmentation, feature extraction and classification stage. For the feature extraction stage, we use best basis mother wavelet functions and wavelet thresholding technique. For the classification stage, multilayer perceptron neural networks were implemented according to standard backpropagation learning formulations. We demonstrate the efficiency of our f

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Prasad, Akhilesh, and S. K. Verma. "Continuous wavelet transform associated with zero-order Mehler–Fock transform and its composition." International Journal of Wavelets, Multiresolution and Information Processing 16, no. 06 (2018): 1850050. http://dx.doi.org/10.1142/s0219691318500509.

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The continuous wavelet transform (CWT) associated with zero-order Mehler–Fock transform (MF-transform) is defined and discussed its some basic properties, Plancherel’s and Parseval’s relations, reconstruction formula for CWT are obtained. Further composition of CWT is investigated and then its Parseval’s and Plancherel’s relations are given. Moreover, time-invariant filter has been defined and proved convolution operator and wavelet transform are represented as time-invariant transform.

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Pathak, Ashish. "Continuous wavelet transform on local fields." Boletim da Sociedade Paranaense de Matemática 34, no. 2 (2015): 113–21. http://dx.doi.org/10.5269/bspm.v34i2.27340.

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The main objective of this paper is to define the mother wavelet on local fields and study the continuous wavelet transform (CWT) and some of their basic properties. its inversion formula, the Parseval relation and associated convolution are also studied.

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Tary, Jean Baptiste, Roberto Henry Herrera, and Mirko van der Baan. "Analysis of time-varying signals using continuous wavelet and synchrosqueezed transforms." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2126 (2018): 20170254. http://dx.doi.org/10.1098/rsta.2017.0254.

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The continuous wavelet transform (CWT) has played a key role in the analysis of time-frequency information in many different fields of science and engineering. It builds on the classical short-time Fourier transform but allows for variable time-frequency resolution. Yet, interpretation of the resulting spectral decomposition is often hindered by smearing and leakage of individual frequency components. Computation of instantaneous frequencies, combined by frequency reassignment, may then be applied by highly localized techniques, such as the synchrosqueezing transform and ConceFT, in order to r

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Gautam, Apoorv. "ECG Analysis using Continuous Wavelet Transform (CWT)." IOSR Journal of Engineering 02, no. 04 (2012): 632–35. http://dx.doi.org/10.9790/3021-0204632635.

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Ji, Ning, Hui Zhou, Kaifeng Guo, et al. "Appropriate Mother Wavelets for Continuous Gait Event Detection Based on Time-Frequency Analysis for Hemiplegic and Healthy Individuals." Sensors 19, no. 16 (2019): 3462. http://dx.doi.org/10.3390/s19163462.

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Gait event detection is a crucial step towards the effective assessment and rehabilitation of motor dysfunctions. Recently, the continuous wavelet transform (CWT) based methods have been increasingly proposed for gait event detection due to their robustness. However, few investigations on determining the appropriate mother wavelet with proper selection criteria have been performed, especially for hemiplegic patients. In this study, the performances of commonly used mother wavelets in detecting gait events were systematically investigated. The acceleration signals from the tibialis anterior mus

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Zhdanov, Aleksei, Paul Constable, Sultan Mohammad Manjur, Anton Dolganov, Hugo F. Posada-Quintero, and Aleksander Lizunov. "OculusGraphy: Signal Analysis of the Electroretinogram in a Rabbit Model of Endophthalmitis Using Discrete and Continuous Wavelet Transforms." Bioengineering 10, no. 6 (2023): 708. http://dx.doi.org/10.3390/bioengineering10060708.

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Background: The electroretinogram is a clinical test used to assess the function of the photoreceptors and retinal circuits of various cells in the eye, with the recorded waveform being the result of the summated response of neural generators across the retina. Methods: The present investigation involved an analysis of the electroretinogram waveform in both the time and time–frequency domains through the utilization of the discrete wavelet transform and continuous wavelet transform techniques. The primary aim of this study was to monitor and evaluate the effects of treatment in a New Zealand r

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Du, Junfei, Xinyu Li, Yiping Gao, and Liang Gao. "Integrated Gradient-Based Continuous Wavelet Transform for Bearing Fault Diagnosis." Sensors 22, no. 22 (2022): 8760. http://dx.doi.org/10.3390/s22228760.

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Bearing fault diagnosis is important to ensure safe operation and reduce loss for most rotating machinery. In recent years, deep learning (DL) has been widely used for bearing fault diagnosis and has achieved excellent results. Continuous wavelet transform (CWT), which can convert original sensor data to time–frequency images, is often used to preprocess vibration data for the DL model. However, in time–frequency images, some frequency components may be important, and some may be unimportant for DL models for fault diagnosis. So, how to choose a frequency range of important frequency component

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Sinha, Satish, Partha S. Routh, Phil D. Anno, and John P. Castagna. "Spectral decomposition of seismic data with continuous-wavelet transform." GEOPHYSICS 70, no. 6 (2005): P19—P25. http://dx.doi.org/10.1190/1.2127113.

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This paper presents a new methodology for computing a time-frequency map for nonstationary signals using the continuous-wavelet transform (CWT). The conventional method of producing a time-frequency map using the short time Fourier transform (STFT) limits time-frequency resolution by a predefined window length. In contrast, the CWT method does not require preselecting a window length and does not have a fixed time-frequency resolution over the time-frequency space. CWT uses dilation and translation of a wavelet to produce a time-scale map. A single scale encompasses a frequency band and is inv

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Struble, William T., and Joshua J. Roering. "Hilltop curvature as a proxy for erosion rate: wavelets enable rapid computation and reveal systematic underestimation." Earth Surface Dynamics 9, no. 5 (2021): 1279–300. http://dx.doi.org/10.5194/esurf-9-1279-2021.

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Abstract. Estimation of erosion rate is an important component of landscape evolution studies, particularly in settings where transience or spatial variability in uplift or erosion generates diverse landform morphologies. While bedrock rivers are often used to constrain the timing and magnitude of changes in baselevel lowering, hilltop curvature (or convexity), CHT, provides an additional opportunity to map variations in erosion rate given that average slope angle becomes insensitive to erosion rate owing to threshold slope processes. CHT measurement techniques applied in prior studies (e.g.,

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Zhu, Bin, and Wei Dong Jin. "Feature Analysis of Advanced Radar Emitter Signals Based on Continuous Wavelet Transform." Applied Mechanics and Materials 246-247 (December 2012): 1125–29. http://dx.doi.org/10.4028/www.scientific.net/amm.246-247.1125.

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For further study the recognition problem of radar emitter signals (RES), the theory of continuous wavelet transform (CWT) and gray moment are introduced into the feature extraction of RES. A new approach for RES feature extraction was proposed based on CWT and gray moment. By using the time-frequency domain characteristics of wavelet analysis and the moment-based method, the CWT coefficients of RES and the changing rules of RES gray moment were researched. The experiment results shows that the wavelet gray moments of the RES take on a rising trend along with the increase of the order, and the

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Lweesy, K., N. Khasawneh, M. Fraiwan, H. Wenz, H. Dickhaus, and L. Fraiwan. "Classification of Sleep Stages Using Multi-wavelet Time Frequency Entropy and LDA." Methods of Information in Medicine 49, no. 03 (2010): 230–37. http://dx.doi.org/10.3414/me09-01-0054.

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Summary Background: The process of automatic sleep stage scoring consists of two major parts: feature extraction and classification. Features are normally extracted from the polysomno-graphic recordings, mainly electroencephalograph (EEG) signals. The EEG is considered a non-stationary signal which increases the complexity of the detection of different waves in it. Objectives: This work presents a new technique for automatic sleep stage scoring based on employing continuous wavelet transform (CWT) and linear discriminant analysis (LDA) using different mother wavelets to detect different waves

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Wang, Zhiguo, Bing Zhang, Jinghuai Gao, Qingzhen Wang, and Qing Huo Liu. "Wavelet transform with generalized beta wavelets for seismic time-frequency analysis." GEOPHYSICS 82, no. 4 (2017): O47—O56. http://dx.doi.org/10.1190/geo2016-0342.1.

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Using the continuous wavelet transform (CWT), the time-frequency analysis of reflection seismic data can provide significant information to delineate subsurface reservoirs. However, CWT is limited by the Heisenberg uncertainty principle, with a trade-off between time and frequency localizations. Meanwhile, the mother wavelet should be adapted to the real seismic waveform. Therefore, for a reflection seismic signal, we have developed a progressive wavelet family that is referred to as generalized beta wavelets (GBWs). By varying two parameters controlling the wavelet shapes, the time-frequency

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Cătălin, Dumitrescu, Copaci Carmen, Iliescu Dan, Hangan Tony, Ionescu Ana-Maria, and Bobe Alexandru. "K - Complex Detection Using the Continuous Wavelet Transform." ARS Medica Tomitana 24, no. 4 (2018): 144–52. http://dx.doi.org/10.2478/arsm-2018-0031.

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Abstract The wide variety of waveform in EEG signals and the high non-stationary nature of many of them is one of the main difficulties to develop automatic detection system for them. In sleep stage classification a relevant transient wave is the K-complex. This paper comprehend the developing of two algorithms in order to achieve an automatic K-complex detection from EEG raw data. These algorithms are based on a time-frequency analysis and two time-frequency techniques, the Short Time Fourier Transform (STFT) and the Continuous Wavelet Transform (CWT), are tested in order to find out which on

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XIE, XIN-PING, XUAN-HAO DING, HONG-QIANG WANG, and YING-CHUN JIANG. "CONTINUOUS WAVELET ANALYSIS OF GENE EXPRESSION SIGNALS FOR CANCER CLASSIFICATION." Journal of Biological Systems 17, no. 03 (2009): 377–96. http://dx.doi.org/10.1142/s0218339009002946.

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This paper proposes a continuous wavelet transform (CWT)-based approach for extracting gene expression patterns associated with cancer. By viewing a particular arrangement of genes as a pseudo-time series and gene expression profile of a patient as a pseud-time signal, CWT can be used to extract hidden expression patterns for cancer classification. Generally, gene expression data are highly redundant and very noisy, and hidden expression patterns play crucial roles for cancer classification rather than any single gene or a simple combination of genes. The CWT can detect consistent patterns in

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DEBBAL, S. M., and F. BEREKSI-REGUIG. "HEARTBEAT SOUND ANALYSIS WITH THE WAVELET TRANSFORM." Journal of Mechanics in Medicine and Biology 04, no. 02 (2004): 133–41. http://dx.doi.org/10.1142/s0219519404000916.

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This paper is concerned with a synthesis study of the continuous wavelet transform (CWT) in analyzing the phonocardiogram (PCG). It is shown that the CWT provides enough features of the PCG signals that will help physicians to obtain qualitative and quantitative measurements of the time and the time-frequency PCG signal characteristics, and consequently aid to diagnosis.

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Xie, Haoyu, and Riki Honda. "Arbitrarily Oriented Phase Randomization of Design Ground Motions by Continuous Wavelets." Infrastructures 6, no. 10 (2021): 144. http://dx.doi.org/10.3390/infrastructures6100144.

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For dynamic analysis in seismic design, selection of input ground motions is of huge importance. In the presented scheme, complex Continuous Wavelet Transform (CWT) is utilized to simulate stochastic ground motions from historical records of earthquakes with phase disturbance arbitrarily localized in time-frequency domain. The complex arguments of wavelet coefficients are determined as phase spectrum and an innovative formulation is constructed to improve computational efficiency of inverse wavelet transform with a pair of random complex arguments introduced and make more candidate wavelets av

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Arts, Lukas P. A., and Egon L. van den Broek. "The fast continuous wavelet transformation (fCWT) for real-time, high-quality, noise-resistant time–frequency analysis." Nature Computational Science 2, no. 1 (2022): 47–58. http://dx.doi.org/10.1038/s43588-021-00183-z.

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AbstractThe spectral analysis of signals is currently either dominated by the speed–accuracy trade-off or ignores a signal’s often non-stationary character. Here we introduce an open-source algorithm to calculate the fast continuous wavelet transform (fCWT). The parallel environment of fCWT separates scale-independent and scale-dependent operations, while utilizing optimized fast Fourier transforms that exploit downsampled wavelets. fCWT is benchmarked for speed against eight competitive algorithms, tested on noise resistance and validated on synthetic electroencephalography and in vivo extrac

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Pereira, Andre Luis Vinagre, Aparecido Carlos Gonçalves, Rubens Ribeiro, Fábio Roberto Chavarette, and Roberto Outa. "Detecting Punctual Damage to Gears through the Continuous Morlet Wavelet Transform." Shock and Vibration 2020 (September 15, 2020): 1–9. http://dx.doi.org/10.1155/2020/8879565.

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In predictive maintenance, vibration signal analyses are frequently used to diagnose reducer failures because these analyses contain information about the conditions of the mechanical components. Reducer vibration signals are very noisy and the signal-to-noise ratio is so low that extracting information from the signal components is complex, especially in practical situations. Therefore, signal processing techniques are used to solve this problem and facilitate the retrieval of information. In this work, the adopted technique included noise-canceling technique, synchronous temporal mean (TSA),

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Sinha, Satish, Partha Routh, and Phil Anno. "Instantaneous spectral attributes using scales in continuous-wavelet transform." GEOPHYSICS 74, no. 2 (2009): WA137—WA142. http://dx.doi.org/10.1190/1.3054145.

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Instantaneous spectral properties of seismic data — center frequency, root-mean-square frequency, bandwidth — often are extracted from time-frequency spectra to describe frequency-dependent rock properties. These attributes are derived using definitions from probability theory. A time-frequency spectrum can be obtained from approaches such as short-time Fourier transform (STFT) or time-frequency continuous-wavelet transform (TFCWT). TFCWT does not require preselecting a time window, which is essential in STFT. The TFCWT method converts a scalogram (i.e., time-scale map) obtained from the conti

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Yi, Hua, Peichang Ouyang, Tao Yu, and Tao Zhang. "An algorithm for Morlet wavelet transform based on generalized discrete Fourier transform." International Journal of Wavelets, Multiresolution and Information Processing 17, no. 05 (2019): 1950030. http://dx.doi.org/10.1142/s0219691319500309.

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Continuous wavelet transform (CWT) is a linear convolution of signal and wavelet function for a fixed scale. This paper studies the algorithm of CWT with Morlet wavelet as mother wavelet by using nonzero-padded linear convolution. The time domain filter, which is a non-causal filter, is the sample of wavelet function. By making generalized discrete Fourier transform (GDFT) and inverse transform for this filter, we can get a geometrically weighted periodic extension of the filter when evaluated outside its original support. From this extension of the time domain filter, we can get a causal filt

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Nenna, Vanessa, and Adam Pidlisecky. "The use of wavelet transforms for improved interpretation of airborne transient electromagnetic data." GEOPHYSICS 78, no. 3 (2013): E117—E123. http://dx.doi.org/10.1190/geo2012-0363.1.

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The continuous wavelet transform (CWT) is used to create maps of dominant spatial scales in airborne transient electromagnetic (ATEM) data sets to identify cultural noise and topographic features. The introduced approach is applied directly to ATEM data, and does not require the measurements be inverted, though it can easily be applied to an inverted model. For this survey, we apply the CWT spatially to B-field and dB/dt ATEM data collected in the Edmonton-Calgary Corridor of southern Alberta. The average wavelet power is binned over four ranges of spatial scale and converted to 2D maps of nor

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de Matos, Marcílio Castro, Rodrigo Penna, Paulo Johann, and Kurt Marfurt. "Relative acoustic impedance from wavelet transform." Interpretation 2, no. 1 (2014): SA107—SA118. http://dx.doi.org/10.1190/int-2013-0090.1.

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Most deconvolution algorithms try to transform the seismic wavelet into spikes by designing inverse filters that remove an estimated seismic wavelet from seismic data. We assume that seismic trace subtle discontinuities are associated with acoustic impedance contrasts and can be characterized by wavelet transform spectral ridges, also called modulus maxima lines (WTMML), allowing us to improve seismic resolution by using the wavelet transform. Specifically, we apply the complex Morlet continuous wavelet transform (CWT) to each seismic trace and compute the WTMMLs. Then, we reconstruct the seis

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Addison, Paul S. "Introduction to redundancy rules: the continuous wavelet transform comes of age." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2126 (2018): 20170258. http://dx.doi.org/10.1098/rsta.2017.0258.

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Redundancy: it is a word heavy with connotations of lacking usefulness. I often hear that the rationale for not using the continuous wavelet transform (CWT)—even when it appears most appropriate for the problem at hand—is that it is ‘redundant’. Sometimes the conversation ends there, as if self-explanatory. However, in the context of the CWT, ‘redundant’ is not a pejorative term, it simply refers to a less compact form used to represent the information within the signal. The benefit of this new form—the CWT—is that it allows for intricate structural characteristics of the signal information to

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Bae, Chanhee, Seongjoo Lee, and Yunho Jung. "High-Speed Continuous Wavelet Transform Processor for Vital Signal Measurement Using Frequency-Modulated Continuous Wave Radar." Sensors 22, no. 8 (2022): 3073. http://dx.doi.org/10.3390/s22083073.

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This paper proposes a high-speed continuous wavelet transform (CWT) processor to analyze vital signals extracted from a frequency-modulated continuous wave (FMCW) radar sensor. The proposed CWT processor consists of a fast Fourier transform (FFT) module, complex multiplier module, and inverse FFT (IFFT) module. For high-throughput processing, the FFT and IFFT modules are designed with the pipeline FFT architecture of radix-2 single-path delay feedback (R2SDF) and mixed-radix multipath delay commutator (MRMDC) architecture, respectively. In addition, the IFFT module and the complex multiplier m

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Malikov, Azamatjon Kakhramon ugli, Young H. Kim, Jin-Hak Yi, Jeongnam Kim, Jiannan Zhang, and Younho Cho. "Neural-Network-Based Ultrasonic Inspection of Offshore Coated Concrete Specimens." Coatings 12, no. 6 (2022): 773. http://dx.doi.org/10.3390/coatings12060773.

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A thin layer of protective coating material is applied on the surface of offshore concrete structures to prevent its degradation, thereby extending the useful life of the structures. The main reasons for the reduction in the protective capability of coating layers are loss of adhesion to concrete and flattening of the coating layer wall. Usually, the state of the coating layer is monitored in the setting of water immersion using ultrasonic inspection methods, and the method of inspection still needs improvement in terms of speed and accuracy. In this study, the ultrasonic pulse echo method was

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Kim, Han Sang, Jin Hak Yi, Ki Young Koo, Chung Bang Yun, and Yong Hak Huh. "Integrity Assessment for Beam-Like Structures by Continuous Wavelet Transform." Key Engineering Materials 321-323 (October 2006): 282–85. http://dx.doi.org/10.4028/www.scientific.net/kem.321-323.282.

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The integrity assessment method for beam-like structures using continuous wavelet transform (CWT) is proposed. CWT is applied to the response acceleration of a structure to decompose the response acceleration correspond to each scale. The curvature difference of the normalized energy for each member caused by structural degradation clearly indicated the location of damaged members in the structure. It is shown that the proposed method can identify damaged members without performing complicated dynamic analyses which usually require significant effort and time.

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Cho, Yong Hyeon, Jang Moo Lee, Sung Yong Park, and Eung Shin Lee. "Robust Measurement of Damping Ratios of a Railway Contact Wire Using Wavelet Transforms." Key Engineering Materials 321-323 (October 2006): 1629–35. http://dx.doi.org/10.4028/www.scientific.net/kem.321-323.1629.

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The aim of this paper is to propose a robust method for extracting damping ratios of a railway contact wire using a continuous wavelet transform (CWT). It is hard to measure the damping ratios of the contact wire because the contact wire has close natural modes in a low frequency range and the dynamic signals of the contact wire gathered in the field are easily corrupted by extraneous noises. The proper choice of the wavelet parameters to decouple the close modes is required in order to obtain accurate damping ratios for the railway contact wire. In this paper, we investigated CWT error terms

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Too, Jingwei, A. R. Abdullah, Norhashimah Mohd Saad, N. Mohd Ali, and H. Musa. "A Detail Study of Wavelet Families for EMG Pattern Recognition." International Journal of Electrical and Computer Engineering (IJECE) 8, no. 6 (2018): 4221. http://dx.doi.org/10.11591/ijece.v8i6.pp4221-4229.

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<p>Wavelet transform (WT) has recently drawn the attention of the researchers due to its potential in electromyography (EMG) recognition system. However, the optimal mother wavelet selection remains a challenge to the application of WT in EMG signal processing. This paper presents a detail study for different mother wavelet function in discrete wavelet transform (DWT) and continuous wavelet transform (CWT). Additionally, the performance of different mother wavelet in DWT and CWT at different decomposition level and scale are also investigated. The mean absolute value (MAV) and wavelength

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Avdakovic, Samir, and Adnan Bosovic. "Continuous Wavelet and Hilbert-Huang Transforms Applied for Analysis of Active and Reactive Power Consumption." Metrology and Measurement Systems 21, no. 3 (2014): 413–22. http://dx.doi.org/10.2478/mms-2014-0035.

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Abstract Analysis of power consumption presents a very important issue for power distribution system operators. Some power system processes such as planning, demand forecasting, development, etc.., require a complete understanding of behaviour of power consumption for observed area, which requires appropriate techniques for analysis of available data. In this paper, two different time-frequency techniques are applied for analysis of hourly values of active and reactive power consumption from one real power distribution transformer substation in urban part of Sarajevo city. Using the continuous

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Hoar Siki, Yovinia Carmeneja, and Natalia Magdalena Rafu Mamulak. "Time-frequency analysis on gong timor music using short-time fourier transform and continuous wavelet transform." International Journal of Advances in Intelligent Informatics 3, no. 3 (2017): 146. http://dx.doi.org/10.26555/ijain.v3i3.114.

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Time-Frequency Analysis on Gong Timor Music has an important role in the application of signal-processing music such as tone tracking and music transcription or music signal notation. Some of Gong characters is heard by different ways of forcing Gong himself, such as how to play Gong based on the Player’s senses, a set of Gong, and by changing the tempo of Gong instruments. Gong's musical signals have more complex analytical criteria than Western music instrument analysis. This research uses a Gong instrument and two notations; frequency analysis of Gong music frequency compared by the Short-t

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Gaviria, Carlos A., and Luis A. Montejo. "Optimal Wavelet Parameters for System Identification of Civil Engineering Structures." Earthquake Spectra 34, no. 1 (2018): 197–216. http://dx.doi.org/10.1193/092016eqs154m.

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Damage-induced changes in structure dynamic properties are commonly tracked with time-frequency representations (TFRs). One of the most widely accepted tools for determining a TFR is the continuous wavelet transform (CWT). The success of CWT analysis is highly dependent on selecting the most appropriate values for the parameters that define the mother wavelet. This article presents a detailed analytical and numerical study to select optimal wavelet parameters using the complex Morlet wavelet (CMOR) and the Gabor wavelet. The results obtained suggest that it is possible to define optimal parame

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Hadjileontiadis, Leontios J. "Continuous wavelet transform and higher-order spectrum: combinatory potentialities in breath sound analysis and electroencephalogram-based pain characterization." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2126 (2018): 20170249. http://dx.doi.org/10.1098/rsta.2017.0249.

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The combination of the continuous wavelet transform (CWT) with a higher-order spectrum (HOS) merges two worlds into one that conveys information regarding the non-stationarity, non-Gaussianity and nonlinearity of the systems and/or signals under examination. In the current work, the third-order spectrum (TOS), which is used to detect the nonlinearity and deviation from Gaussianity of two types of biomedical signals, that is, wheezes and electroencephalogram (EEG), is combined with the CWT to offer a time–scale representation of the examined signals. As a result, a CWT/TOS field is formed and a

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DEBBAL, S. M., F. BEREKSI-REGUIG, and A. MEZIANE TANI. "THE FAST FOURIER TRANSFORM AND THE CONTINUOUS WAVELET TRANSFORM ANALYSIS OF THE PHONOCARDIOGRAM SIGNAL." Journal of Mechanics in Medicine and Biology 04, no. 03 (2004): 257–72. http://dx.doi.org/10.1142/s0219519404001028.

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This paper is concerned with a synthesis study of the fast Fourier transform (FFT) and the continuous wavelet transform (CWT) in analysing the phonocardiogram signal (PCG). It is shown that the continuous wavelet transform provides enough features of the PCG signals that will help clinics to obtain qualitative and quantitative measurements of the time-frequency PCG signal characteristics and consequently aid to diagnosis. Similary, it is shown that the frequency content of such a signal can be determined by the FFT without difficulties.

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Xiong, Cen, Shu Huan Liu, Yong Hong Li, Du Tang, and Chao Hui He. "A Wavelet-Based Method for Automatic Location of Peaks in Gamma-Ray Spectra." Applied Mechanics and Materials 672-674 (October 2014): 1911–19. http://dx.doi.org/10.4028/www.scientific.net/amm.672-674.1911.

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Wavelet analysis method is a promising tool for analysis of gamma-ray spectra due to its time-frequency localization ability and multi-scale resolution feature. This paper describes a method to locate peaks in gamma-ray spectra based on continuous wavelet transform (CWT) of the spectrum using Marr wavelet. The theoretical basis of using Marr wavelet to detect Gaussian peaks was explained. A scale range, 1 to FWHMmax+2, was then suggested to perform CWT. Several novel criteria were used to discriminate real peaks from noise. The detection ability of this method was verified with some measured s

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SARMA, BORNALI, SOURABH S. CHAUHAN, A. M. WHARTON, and A. N. SEKAR IYENGAR. "Continuous wavelet transform analysis for self-similarity properties of turbulence in magnetized DC glow discharge plasma." Journal of Plasma Physics 79, no. 5 (2013): 885–91. http://dx.doi.org/10.1017/s0022377813000639.

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AbstractCharacterization of self-similarity properties of turbulence in magnetized plasma is being carried out in DC glow discharge plasma. The time series floating potential fluctuation experimental data are acquired from the plasma by Langmuir probe. Continuous wavelet transform (CWT) analysis considering db4 mother wavelet has been applied to the experimental data and self-similarity properties are detected by evaluating the Hurst exponent from the wavelet variance plotting. From the CWT spectrum, effort is made to extract a highly correlated frequency by locating the brightest spot. Accord

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Tiryaki, Erhan, Özlem Kocahan, and Serhat Özder. "An Improved Method for Determination of Refractive Index of Dielectric Films from Reflectance Spectrum by Using the Generalized Morse Wavelet." Measurement Science Review 21, no. 2 (2021): 61–66. http://dx.doi.org/10.2478/msr-2021-0009.

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Abstract The Generalized Morse Wavelet (GMW) algorithm was adapted to determine the refractive index of dielectric film from the reflectance spectrum. A theoretically generated reflectance spectrum in the range of 300-1200 nm wavelength was analyzed by the Continuous Wavelet Transform (CWT) and the refractive index dispersion was obtained by the mentioned method. In addition, a noisy reflectance spectrum was analyzed to show the advantages of the CWT method. Refractive index dispersions calculated by the Morlet and the Paul wavelet were compared to GMW at the end of the study.

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