Ten Lectures on Wavelets

Tomographic inversion using ℓ1-norm regularization of wavelet coefficients

Loris, I., Nolet, G., Daubechies, I. C., & Dahlen, F. A. (2007) · Geophysical Journal International · doi:10.1111/j.1365-246x.2007.03409.x · Cited by 180

Review of inverse analysis for indirect measurement of impact force

INOUE, H., Harrigan, J. J., & Reid, S. R. (2001) · Applied Mechanics Reviews · doi:10.1115/1.1420194 · Cited by 180

2D Empirical Transforms. Wavelets, Ridgelets, and Curvelets Revisited

Gilles, J., Tran, G., & Osher, S. (2014) · SIAM Journal on Imaging Sciences · doi:10.1137/130923774 · Cited by 180

Wavelet analysis of surface electromyography

Kumar, D., Pah, N. D., & Bradley, A. (2003) · IEEE Transactions on Neural Systems and Rehabilitation Engineering · doi:10.1109/tnsre.2003.819901 · Cited by 180

Fast matching pursuit with a multiscale dictionary of Gaussian chirps

Gribonval, R. (2001) · IEEE Transactions on Signal Processing · doi:10.1109/78.917803 · Cited by 180

Block Coordinate Relaxation Methods for Nonparametric Wavelet Denoising

Sardy, S., Bruce, A. G., & Tseng, P. (2000) · Journal of Computational and Graphical Statistics · doi:10.1080/10618600.2000.10474885 · Cited by 180

Quantitative Fourier analysis of approximation techniques. I. Interpolators and projectors

Blu, T., & Unser, M. A. (1999) · IEEE Transactions on Signal Processing · doi:10.1109/78.790659 · Cited by 180

Image denoising based on non-local means filter and its method noise thresholding

Kumar, B. K. S. (2012) · Signal Image and Video Processing · doi:10.1007/s11760-012-0389-y · Cited by 179

Automatic feature extraction of waveform signals for in-process diagnostic performance improvement

Jin, J. J., & Shi, J. (2001) · Journal of Intelligent Manufacturing · doi:10.1023/a:1011248925750 · Cited by 179

ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform

Daubechies, I. C., Wang, Y., & Wu, H. (2016) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2015.0193 · Cited by 178

Initialization by selection for wavelet network training

Oussar, Y., & Dreyfus, G. (2000) · Neurocomputing · doi:10.1016/s0925-2312(00)00295-2 · Cited by 178

Edge detection by scale multiplication in wavelet domain

Lei Zhang, A., & Bao, P. G. (2002) · Pattern Recognition Letters · doi:10.1016/s0167-8655(02)00151-4 · Cited by 178

A new music-empirical wavelet transform methodology for time–frequency analysis of noisy nonlinear and non-stationary signals

Amézquita-Sánchez, J. P., & Adeli, H. (2015) · Digital Signal Processing · doi:10.1016/j.dsp.2015.06.013 · Cited by 178

Simultaneous noise suppression and signal compression using a library of orthonormal bases and the minimum-description-length criterion

Saito, N. (1994) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.170027 · Cited by 178

Wavelet analysis of rainfall–runoff variability isolating climatic from anthropogenic patterns

Nakken, M. (1999) · Environmental Modelling & Software · doi:10.1016/s1364-8152(98)00080-2 · Cited by 177

ShearLab 3D

Gitta Kutyniok, B., Lim, W.-Q., & Reisenhofer, R. (2016) · ACM Transactions on Mathematical Software · doi:10.1145/2740960 · Cited by 176

Highly sparse representations from dictionaries are unique and independent of the sparseness measure

Gribonval, R., & Nielsen, M. (2006) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2006.09.003 · Cited by 181

Signal restoration with overcomplete wavelet transforms: comparison of analysis and synthesis priors

Selesnick, I., & Figueiredo, M. A. T. (2009) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.826663 · Cited by 176

Self-Invertible 2D Log-Gabor Wavelets

Fischer, S., Šroubek, F., Perrinet, L., Redondo, R., & Cristóbal, G. (2007) · International Journal of Computer Vision · doi:10.1007/s11263-006-0026-8 · Cited by 181

Adaptive thresholding of wavelet coefficients

Abramovich, F., & Benjamini, Y. (1996) · Computational Statistics & Data Analysis · doi:10.1016/0167-9473(96)00003-5 · Cited by 176

A stochastic model of human gait dynamics

Ashkenazy, Y., Hausdorff, J. M., Ivanov, P. C., & Stanley, E. (2002) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(02)01453-x · Cited by 175

Automatic Statistical Analysis of Bivariate Nonstationary Time Series

Ombao, H., Raz, J. A., von Sachs, R., & Malow, B. A. (2001) · Journal of the American Statistical Association · doi:10.1198/016214501753168244 · Cited by 175

Multiscale Representations for Manifold-Valued Data

Rahman, I. U., Drori, I., Stodden, V., Donoho, D. L., & Schröder, P. (2005) · Multiscale Modeling and Simulation · doi:10.1137/050622729 · Cited by 175

Transmission Line Distance Protection Based on Wavelet Transform

Osman, A. H., & Malik, O. P. (2004) · IEEE Transactions on Power Delivery · doi:10.1109/tpwrd.2003.822531 · Cited by 175

Dynamic Harmonic Analysis Through Taylor–Fourier Transform

Platas-Garza, M. Á., & Serna, J. A. D. L. O. (2010) · IEEE Transactions on Instrumentation and Measurement · doi:10.1109/tim.2010.2064690 · Cited by 175

History and Evolution of the Density Theorem for Gabor Frames

Heil, C. (2007) · Journal of Fourier Analysis and Applications · doi:10.1007/s00041-006-6073-2 · Cited by 175

Acoustic emission energy b -value for local damage evaluation in reinforced concrete structures subjected to seismic loadings

Sagasta, F. A., Zitto, M. E., Piotrkowski, R., Benavent‐Climent, A., Suárez, E., & Gallego, A. (2017) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2017.09.022 · Cited by 175

Unsupervised texture segmentation via wavelet transform

Lu, C. S., Chung, P. C., & Chen, C. F. (1997) · Pattern Recognition · doi:10.1016/s0031-3203(96)00116-1 · Cited by 175

Vector quantization of image subbands: a survey

Cosman, P. C., Gray, R. M., & Vetterli, M. (1996) · IEEE Transactions on Image Processing · doi:10.1109/83.480760 · Cited by 175

Human face recognition using PCA on wavelet subband

Feng, G. C., Yuen, P. C., & Dai, D. Q. (2000) · Journal of Electronic Imaging · doi:10.1117/1.482742 · Cited by 174

Wavelets and their uses

Dremin, I. M., Ivanov, O. V., & Nechitailo, V. A. (2001) · Physics-Uspekhi · doi:10.1070/pu2001v044n05abeh000918 · Cited by 174

Interactive rendering of large volume data sets

Guthe, S., Wand, M., Gonser, J., & Straßer, W. (2002) · Cited by 174

Worldwide wavelet analysis of geomagnetic jerks

Mandéa, M., Gibert, D., Hulot, G., Mouël, J. L., & Saracco, G. (1996) · Journal of Geophysical Research Atmospheres · doi:10.1029/96jb01648 · Cited by 173

Evolutionary Spectra Estimation Using Wavelets

Spanos, P. D., & Failla, G. (2004) · Journal of Engineering Mechanics · doi:10.1061/(asce)0733-9399(2004)130:8(952 · Cited by 173

Classification of epileptic EEG recordings using signal transforms and convolutional neural networks

San-Segundo, R., Gil-Martín, M., D’Haro, L. F., & Pardo, J. M. (2019) · Computers in Biology and Medicine · doi:10.1016/j.compbiomed.2019.04.031 · Cited by 175

Localized light waves: Paraxial and exact solutions of the wave equation (a review)

Kiselev, A. P. (2007) · Optics and Spectroscopy · doi:10.1134/s0030400x07040200 · Cited by 173

Wavelet Denoising of Infrared Spectra

Alsberg, B. K., Woodward, A. M., Winson, M. K., Rowland, J. J., & Kell, D. B. (1997) · The Analyst · doi:10.1039/a608255f · Cited by 173

F 2 Trans: High-Frequency Fine-Grained Transformer for Face Forgery Detection

Miao, C., Tan, Z., Chu, Q., Liu, H., Hu, H., & Yu, N. (2023) · IEEE Transactions on Information Forensics and Security · doi:10.1109/tifs.2022.3233774 · Cited by 172

The Haar-Wavelet Transform in Digital Image Processing: Its Status and Achievements

Porwik, P., & Lisowska, A. (2004) · Cited by 172

Application of Wavelet Approach for ASCE Structural Health Monitoring Benchmark Studies

Hera, A., & Hou, Z. (2003) · Journal of Engineering Mechanics · doi:10.1061/(asce)0733-9399(2004)130:1(96 · Cited by 172

Harmonic Analysis of the space BV

Cohen, A. K., Dahmen, W., Daubechies, I. C., & DeVore, R. (2003) · Revista Matemática Iberoamericana · doi:10.4171/rmi/345 · Cited by 172

Wavelet transform methods for phase identification in three-component seismograms

Anant, K. S., & Dowla, F. (1997) · Bulletin of the Seismological Society of America · doi:10.1785/bssa0870061598 · Cited by 171

Texture analysis for ulcer detection in capsule endoscopy images

Li, B., & Meng, M. Q. ‐. (2009) · Image and Vision Computing · doi:10.1016/j.imavis.2008.12.003 · Cited by 171

Long-term forecasting of Internet backbone traffic: observations and initial models

Papagiannaki, K., Taft, N., Zhang, Z.-L., & Diot, C. (2003) · IEEE Conference on Computer Communications (INFOCOM) · doi:10.1109/infcom.2003.1208954 · Cited by 174

The use of ultrasonic guided waves and wavelets analysis in pipe inspection

Siqueira, M. H. S., Gatts, C. E. N., da Silva, R. R., & Rebello, J. M. A. (2004) · Ultrasonics · doi:10.1016/j.ultras.2004.02.013 · Cited by 171

Wavelet packet modulation for wireless communications

Jamin, A., & Mähönen, P. (2004) · Wireless Communications and Mobile Computing · doi:10.1002/wcm.201 · Cited by 171

Multi-scale proper orthogonal decomposition of complex fluid flows

Mendez, M. A., Balabane, M., & Buchlin, J.-M. (2019) · Journal of Fluid Mechanics · doi:10.1017/jfm.2019.212 · Cited by 171

Dynamic protection of power systems with high penetration of renewables: A review of the traveling wave based fault location techniques

Aftab, M. A., Hussain, S. M. S., Ali, I., & Ustun, T. S. (2019) · International Journal of Electrical Power & Energy Systems · doi:10.1016/j.ijepes.2019.105410 · Cited by 171

Quantum-gravity analysis of gamma-ray bursts using wavelets

Ellis, J. R., Mavromatos, N. E., Nanopoulos, D. V., & Sakharov, A. (2003) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20030263 · Cited by 171

Differentiating intraday seasonalities through wavelet multi-scaling

Ramazan Gençay, A., Selçuk∥, F., & Whitcher, B. J. (2001) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(00)00463-5 · Cited by 171

Mathematical properties of the jpeg2000 wavelet filters

Unser, M. A., & Blu, T. (2003) · IEEE Transactions on Image Processing · doi:10.1109/tip.2003.812329 · Cited by 171

Numerical model evaluation of tidal stream energy resources in the Ría de Muros (NW Spain)

Carballo, R., Iglesias, G., & Castro, A. (2008) · Renewable Energy · doi:10.1016/j.renene.2008.10.028 · Cited by 170

Magnitude and sign scaling in power-law correlated time series

Ashkenazy, Y., Havlin, S., Ivanov, P. C., Peng, C., Schulte-Frohlinde, V., & Stanley, E. (2003) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(03)00008-6 · Cited by 170

A wavelet-based interpolation-restoration method for superresolution (wavelet superresolution)

Nguyen, N., & Milanfar, P. (2000) · Circuits Systems and Signal Processing · doi:10.1007/bf01200891 · Cited by 170

A framework for evaluating the data-hiding capacity of image sources

Moulin, P., & Mihcak, M. K. (2002) · IEEE Transactions on Image Processing · doi:10.1109/tip.2002.802512 · Cited by 170

A wavelet theory for local fields and related groups

Benedetto, J. J., & Benedetto, R. L. (2004) · Journal of Geometric Analysis · doi:10.1007/bf02922099 · Cited by 170

Interpolation and denoising of high-dimensional seismic data by learning a tight frame

Yu, S., Ma, J., Zhang, X., & Sacchi, M. D. (2015) · Geophysics · doi:10.1190/geo2014-0396.1 · Cited by 170

Advances on localization techniques for wireless sensor networks: A survey

Chowdhury, T. J. S., Elkin, C. P., Devabhaktuni, V., Rawat, D. B., & Oluoch, J. (2016) · Computer Networks · doi:10.1016/j.comnet.2016.10.006 · Cited by 169

Wavelet theory demystified

Unser, M. A., & Blu, T. (2003) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2002.807000 · Cited by 169

The discrete multiple wavelet transform and thresholding methods

DOWNIE, T. R., & Silverman, B. W. (1998) · IEEE Transactions on Signal Processing · doi:10.1109/78.709546 · Cited by 169

Fluctuations in instantaneous clearness index: Analysis and statistics

Woyte, A., Belmans, R. J. M., & Nijs, J. (2006) · Solar Energy · doi:10.1016/j.solener.2006.03.001 · Cited by 168

Convex Optimization in Normed Spaces

Peypouquet, J. (2015) · SpringerBriefs in optimization · doi:10.1007/978-3-319-13710-0 · Cited by 168

Application of a new EWT-based denoising technique in bearing fault diagnosis

Chegini, S. N., Bagheri, A., & Najafi, F. (2019) · Measurement · doi:10.1016/j.measurement.2019.05.049 · Cited by 168

Wavelet-transform-based algorithm for harmonic analysis of power system waveforms

Pham, V.-L., & Wong, K. P. (1999) · IEE Proceedings - Generation Transmission and Distribution · doi:10.1049/ip-gtd:19990316 · Cited by 168

Convolutional Neural Networks Analyzed via Convolutional Sparse CodingPreprint

PapyanVardan, RomanoYaniv, & EladMichael (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1607.08194 · Cited by 171

Development of new hybrid model of discrete wavelet decomposition and autoregressive integrated moving average (ARIMA) models in application to one month forecast the casualties cases of COVID-19

Singh, S., Parmar, K. S., Kumar, J., & Makkhan, S. J. S. (2020) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2020.109866 · Cited by 167

Differentiation and the Balian-Low Theorem

Benedetto, J. J., Heil, C., & Walnut, D. F. (1994) · Journal of Fourier Analysis and Applications · doi:10.1007/s00041-001-4016-5 · Cited by 167

A study of cloud classification with neural networks using spectral and textural features

Tian, B., Shaikh, M. A., Azimi-Sadjadi, M. R., Haar, T. H. V., & Reinke, D. (1999) · IEEE Transactions on Neural Networks · doi:10.1109/72.737500 · Cited by 167

Wavelet methods in statistics: some recent developments and their applications

Antoniadis, A. (2007) · Statistics Surveys · doi:10.1214/07-ss014 · Cited by 166

Random cascades on wavelet dyadic trees

Arnéodo, A., Bacry, E., & Muzy, J. (1998) · Journal of Mathematical Physics · doi:10.1063/1.532489 · Cited by 166

Multiscale modeling and estimation of Poisson processes with application to photon-limited imaging

Timmermann, K. E., & Nowak, R. D. (1999) · IEEE Transactions on Information Theory · doi:10.1109/18.761328 · Cited by 166

Data Compression in Smart Distribution Systems via Singular Value Decomposition

de Souza, J. C. S., Assis, T. M. L., & Pal, B. C. (2015) · IEEE Transactions on Smart Grid · doi:10.1109/tsg.2015.2456979 · Cited by 165

Wavelet neural network classification of EEG signals by using AR model with MLE preprocessing

Subaşı, A., Alkan, A., Köklükaya, E., & Kıymık, M. K. (2005) · Neural Networks · doi:10.1016/j.neunet.2005.01.006 · Cited by 165

Wavelet-based prediction of oil prices

Yousefi, S., Weinreich, I., & Reinarz, D. (2005) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2004.11.015 · Cited by 165

Wavelet Based Noise Reduction in CT-Images Using Correlation Analysis

Borsdorf, A., Raupach, R., Flohr, T. G., & Joachim Hornegger, A. (2008) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2008.923983 · Cited by 165

Multi-Scale Dictionary Learning Using Wavelets

Ophir, B., Lustig, M. S., & Elad, M. (2011) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2011.2155032 · Cited by 166

Can Consumer-Posted Photos Serve as a Leading Indicator of Restaurant Survival? Evidence from Yelp

Zhang, M., & Luo, L. (2016) · Management Science · doi:10.1287/mnsc.2022.4359 · Cited by 169

Wavelet packet based damage identification of beam structures

Jian-gang, H., Ren, W., & Sun, Z.-S. (2005) · International Journal of Solids and Structures · doi:10.1016/j.ijsolstr.2005.04.031 · Cited by 165

A wavelet-based method for action potential detection from extracellular neural signal recording with low signal-to-noise ratio

Kim, K. H., & Kim, S. J. (2003) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2003.814523 · Cited by 165

Denoising through wavelet shrinkage: an empirical study

Fodor, I. K., & Kamath, C. (2003) · Journal of Electronic Imaging · doi:10.1117/1.1525793 · Cited by 164

An optimal estimation approach to visual perception and learning

Rao, R. P. N. (1999) · Vision Research · doi:10.1016/s0042-6989(98)00279-x · Cited by 173

Data-driven time–frequency analysis

Hou, T. Y., & Shi, Z. (2012) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2012.10.001 · Cited by 164

An iterative wavelet threshold for signal denoising

Bayer, F. M., Kozakevicius, A. D. J., & Cintra, R. J. (2019) · Signal Processing · doi:10.1016/j.sigpro.2019.04.005 · Cited by 164

Dense Dilated Network With Probability Regularized Walk for Vessel Detection

Mou, L., Chen, L., Cheng, J. T., Gu, Z., Zhao, Y., & Liu, J. (2019) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2019.2950051 · Cited by 164

Comparative study of ECG signal denoising by wavelet thresholding in empirical and variational mode decomposition domains

Lahmiri, S. (2014) · Healthcare Technology Letters · doi:10.1049/htl.2014.0073 · Cited by 163

Toward intelligent music information retrieval

Li, T., & Ogihara, M. (2006) · IEEE Transactions on Multimedia · doi:10.1109/tmm.2006.870730 · Cited by 163

A New Spectral Representation of Earthquake Data: Hilbert Spectral Analysis of Station TCU129, Chi-Chi, Taiwan, 21 September 1999

Huang, N. E. (2004) · Bulletin of the Seismological Society of America · doi:10.1785/0120000735 · Cited by 163

p-Frames and Shift Invariant Subspaces of L p

Aldroubi, A., Sun, Q., & Tang, W.-S. (2001) · Journal of Fourier Analysis and Applications · doi:10.1007/s00041-001-0001-2 · Cited by 163

Human Activity Recognition Based on R Transform

Wang, Y., Huang, K., & Tan, T. (2007) · IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings · doi:10.1109/cvpr.2007.383505 · Cited by 162

Mono-component feature extraction for mechanical fault diagnosis using modified empirical wavelet transform via data-driven adaptive Fourier spectrum segment

Pan, J. H., Chen, J., Zi, Y., Li, Y., & He, Z. (2015) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2015.10.017 · Cited by 162

Compressive sampling for accelerometer signals in structural health monitoring

Bao, Y., Beck, J. L., & Li, H. (2010) · Structural Health Monitoring · doi:10.1177/1475921710373287 · Cited by 161

WaveCNet: Wavelet Integrated CNNs to Suppress Aliasing Effect for Noise-Robust Image Classification

Li, Q., Shen, L., Guo, S., & Lai, Z. (2021) · IEEE Transactions on Image Processing · doi:10.1109/tip.2021.3101395 · Cited by 167

Sensitivity analysis of crack detection in beams by wavelet technique

Quek, S. T., Wang, Q., Zhang, L., & Ang, K.-K. (2001) · International Journal of Mechanical Sciences · doi:10.1016/s0020-7403(01)00064-9 · Cited by 161

Power measurement using the wavelet transform

Yoon, W.-K., & Devaney, M. J. (2002) · Conference proceedings - IEEE Instrumentation/Measurement Technology Conference · doi:10.1109/imtc.1998.676836 · Cited by 161

Multiresolution face recognition

Ekenel, H. K., & Sankur, B. (2005) · Image and Vision Computing · doi:10.1016/j.imavis.2004.09.002 · Cited by 161

A novel approach to the detection of synchronisation in EEG based on empirical mode decomposition

Sweeney‐Reed, C. M., & Nasuto, S. J. (2007) · Journal of Computational Neuroscience · doi:10.1007/s10827-007-0020-3 · Cited by 163

A novel signal compression method based on optimal ensemble empirical mode decomposition for bearing vibration signals

Guo, W. J., & Tse, P. W.-T. (2012) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2012.08.017 · Cited by 160

Online Detection of Broken Rotor Bars in Induction Motors by Wavelet Packet Decomposition and Artificial Neural Networks

Sadeghian, A., Ye, Z., & Wu, B. (2009) · IEEE Transactions on Instrumentation and Measurement · doi:10.1109/tim.2009.2013743 · Cited by 160

Physical wavelet frame denoising

Zhang, R., & Ulrych, T. J. (2003) · Geophysics · doi:10.1190/1.1543209 · Cited by 160

Wavelets: the mathematical background

Cohen, A., & Kovačević, J. (1996) · Proceedings of the IEEE · doi:10.1109/5.488697 · Cited by 309

Orthonormal bases of compactly supported wavelets

Daubechies, I. C. (1988) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160410705 · Cited by 8,143

Wavelets and allied topics

Jain, P., Mhaskar, H. N., & Krishna, M. C. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 5

Orthonormal Bases of Wavelets with Finite Support — Connection with Discrete Filters

Daubechies, I. C. (1990) · Inverse problems and theoretical imaging · doi:10.1007/978-3-642-75988-8_3 · Cited by 53

Orthonormal Bases of Compactly Supported Wavelets II. Variations on a Theme

Daubechies, I. C. (1993) · SIAM Journal on Mathematical Analysis · doi:10.1137/0524031 · Cited by 394