Ten Lectures on Wavelets

Fast Time Sequence Indexing for Arbitrary Lp Norms

Yi, B.-K., & Faloutsos, C. (2018) · doi:10.1184/r1/6605618 · Cited by 652

Computer-aided diagnosis of human brain tumor through MRI: A survey and a new algorithm

El‐Dahshan, E. A., Mohsen, H., Revett, K., & Salem, A.-B. M. (2014) · Expert Systems with Applications · doi:10.1016/j.eswa.2014.01.021 · Cited by 643

Classification of the myoelectric signal using time-frequency based representations

Englehart, K. B., Hudgins, B., Parker, P. A., & Stevenson, M. (1999) · Medical Engineering & Physics · doi:10.1016/s1350-4533(99)00066-1 · Cited by 641

Wedgelets: nearly minimax estimation of edges

Donoho, D. L. (1999) · The Annals of Statistics · doi:10.1214/aos/1018031261 · Cited by 638

NHITS: Neural Hierarchical Interpolation for Time Series Forecasting

Challú, C., Olivares, K. G., Oreshkin, B. N., Ramírez, F. G., Mergenthaler, M., & Dubrawski, A. W. (2023) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v37i6.25854 · Cited by 760

Image Categorization by Learning and Reasoning with Regions

Chen, Y., & Wang, J. Z. (2004) · doi:10.5555/1005332.1016789 · Cited by 628

Recent advances in wavelet analyses: Part 1. A review of concepts

Labat, D. (2005) · Journal of Hydrology · doi:10.1016/j.jhydrol.2005.04.003 · Cited by 626

A New SURE Approach to Image Denoising: Interscale Orthonormal Wavelet Thresholding

Luisier, F., Blu, T., & Unser, M. (2007) · IEEE Transactions on Image Processing · doi:10.1109/tip.2007.891064 · Cited by 623

Evidence for global runoff increase related to climate warming

Labat, D., Goddéris, Y., Probst, J., & Guyot, J. (2004) · Advances in Water Resources · doi:10.1016/j.advwatres.2004.02.020 · Cited by 621

Fault location using wavelets

Magnago, F. H., & Abur, A. (1998) · IEEE Transactions on Power Delivery · doi:10.1109/61.714808 · Cited by 616

Wavelet-based Rician noise removal for magnetic resonance imaging

Nowak, R. D. (1999) · IEEE Transactions on Image Processing · doi:10.1109/83.791966 · Cited by 613

Handwritten Optical Character Recognition (OCR): A Comprehensive Systematic Literature Review (SLR)

Memon, J., Sami, M., Khan, R. A., & Uddin, M. (2020) · IEEE Access · doi:10.1109/access.2020.3012542 · Cited by 655

EEG microstate sequences in healthy humans at rest reveal scale-free dynamics.

Van De Ville, D., Britz, J., & Michel, C. M. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1007841107 · Cited by 606

A Review of Wavelet Analysis and Its Applications: Challenges and Opportunities

Guo, T., Zhang, T., Lim, E. G., López‐Benítez, M., Ma, F., & Yu, L. (2022) · IEEE Access · doi:10.1109/access.2022.3179517 · Cited by 604

Event-Related EEG Time-Frequency Analysis: An Overview of Measures and An Analysis of Early Gamma Band Phase Locking in Schizophrenia

Roach, B. J., & Mathalon, D. H. (2008) · Schizophrenia Bulletin · doi:10.1093/schbul/sbn093 · Cited by 599

Using wavelets to decompose the time–frequency effects of monetary policy

Aguiar‐Conraria, L., Azevedo, N., & Soares, M. J. (2008) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2008.01.063 · Cited by 599

Fusion of multispectral and panchromatic images using improved IHS and PCA mergers based on wavelet decomposition

González-Audícana, M., Saleta, J. L., Catalán, R. G., & García, R. G. (2004) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/tgrs.2004.825593 · Cited by 598

Vibration-based structural health monitoring using output-only measurements under changing environment

Deraemaeker, A., Reynders, E. P. B., Roeck, G. D., & Kullaa, J. (2007) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2007.07.004 · Cited by 584

A multifractal wavelet model with application to network traffic

Riedi, R. H., Crouse, M. S., Ribeiro, V. J., & Baraniuk, R. G. (1999) · IEEE Transactions on Information Theory · doi:10.1109/18.761337 · Cited by 577

Hybrid intelligent techniques for MRI brain images classification

El‐Dahshan, E. A., Hosny, T., & Salem, A.-B. M. (2009) · Digital Signal Processing · doi:10.1016/j.dsp.2009.07.002 · Cited by 576

Cross wavelet analysis: significance testing and pitfalls

Maraun, D., & Kurths, J. (2004) · Nonlinear processes in geophysics · doi:10.5194/npg-11-505-2004 · Cited by 576

Mapping the stereotyped behaviour of freely moving fruit flies

Berman, G. J., Choi, D. M., Bialek, W., & Shaevitz, J. W. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.0672 · Cited by 565

Statistical texture characterization from discrete wavelet representations

van de Wouwer, G., Scheunders, P., & Dyck, D. V. (1999) · IEEE Transactions on Image Processing · doi:10.1109/83.753747 · Cited by 562

The chirplet transform: physical considerations

Mann, S., & Haykin, S. (1995) · IEEE Transactions on Signal Processing · doi:10.1109/78.482123 · Cited by 561

Spectral decomposition of seismic data with continuous-wavelet transform

Sinha, S. K., Routh, P. S., Anno, P. D., & Castagna, J. P. (2005) · Geophysics · doi:10.1190/1.2127113 · Cited by 560

Non-parametric seismic data recovery with curvelet frames

Herrmann, F. J., & Hennenfent, G. (2008) · Geophysical Journal International · doi:10.1111/j.1365-246x.2007.03698.x · Cited by 554

Artificial neural networks forecasting of PM2.5 pollution using air mass trajectory based geographic model and wavelet transformation

Feng, X., Li, Q., Zhu, Y., Hou, J., Jin, L., & Wang, J. (2015) · Atmospheric Environment · doi:10.1016/j.atmosenv.2015.02.030 · Cited by 563

WaveLab and Reproducible Research

Buckheit, J. B., & Donoho, D. L. (1995) · Lecture notes in statistics · doi:10.1007/978-1-4612-2544-7_5 · Cited by 551

Wavelet Thresholding via A Bayesian Approach

Abramovich, F., Sapatinas, T., & Silverman, B. W. (1998) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/1467-9868.00151 · Cited by 548

Adaptive Bayesian Wavelet Shrinkage

Chipman, H., Kolaczyk, E. D., & McCulloch, R. E. (1997) · Journal of the American Statistical Association · doi:10.1080/01621459.1997.10473662 · Cited by 547

The Synchrosqueezing algorithm for time-varying spectral analysis: Robustness properties and new paleoclimate applications

Thakur, G., Brevdo, E., Fučkar, N. S., & Wu, H. (2012) · Signal Processing · doi:10.1016/j.sigpro.2012.11.029 · Cited by 540

Classification of magnetic resonance brain images using wavelets as input to support vector machine and neural network

Chaplot, S., Patnaik, L. M., & Jagannathan, N. R. (2006) · Biomedical Signal Processing and Control · doi:10.1016/j.bspc.2006.05.002 · Cited by 539

Algorithms for defining visual regions-of-interest: comparison with eye fixations

Privitera, C. M., & STARK, L. W. (2000) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.877520 · Cited by 535

Multitask Compressive Sensing

Ji, S., Dunson, D. B., & Carin, L. (2008) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2008.2005866 · Cited by 534

Universality of deep convolutional neural networks

Zhou, D.-X. (2020) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2019.06.004 · Cited by 530

The Undecimated Wavelet Decomposition and its Reconstruction

Starck, J., Fadili, J. M., & Murtagh, F. D. (2007) · IEEE Transactions on Image Processing · doi:10.1109/tip.2006.887733 · Cited by 525

Chapter 76 Large Sample Sieve Estimation of Semi-Nonparametric Models

Chen, X. (2007) · Handbook of econometrics · doi:10.1016/s1573-4412(07)06076-x · Cited by 547

An affine scaling methodology for best basis selection

Rao, B. D., & Kreutz-Delgado, K. (1999) · IEEE Transactions on Signal Processing · doi:10.1109/78.738251 · Cited by 522

A GUIDE TO WAVELETS FOR ECONOMISTS*

Crowley, P. M. (2007) · Journal of Economic Surveys · doi:10.1111/j.1467-6419.2006.00502.x · Cited by 518

Transforms and Operators for Directional Bioimage Analysis: A Survey

Püspöki, Z., Storath, M., Sage, D., & Unser, M. A. (2016) · Advances in anatomy, embryology and cell biology · doi:10.1007/978-3-319-28549-8_3 · Cited by 539

Rectification of the Bias in the Wavelet Power Spectrum

Liu, Y., Liang, X. S., & Weisberg, R. H. (2007) · Journal of Atmospheric and Oceanic Technology · doi:10.1175/2007jtecho511.1 · Cited by 517

A review of vibration-based techniques for helicopter transmission diagnostics

Samuel, P. D., & Pines, D. J. (2004) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2004.02.058 · Cited by 517

Numerical Analysis for Statisticians

Lange, K. L. (2010) · Statisctics and computing/Statistics and computing · doi:10.1007/978-1-4419-5945-4 · Cited by 526

Update on a class of gradient theories

Aifantis, E. C. (2003) · Mechanics of Materials · doi:10.1016/s0167-6636(02)00278-8 · Cited by 517

Applications of Hilbert–Huang transform to non‐stationary financial time series analysis

Huang, N. E., Wu, M. C., Qu, W., Long, S. R., & Shen, S. S. P. (2003) · Applied Stochastic Models in Business and Industry · doi:10.1002/asmb.501 · Cited by 509

A wavelet-based joint estimator of the parameters of long-range dependence

Veitch, D. N., & Abry, P. (1999) · IEEE Transactions on Information Theory · doi:10.1109/18.761330 · Cited by 507

PDE-Net: Learning PDEs from DataPreprint

Long, Z., Lu, Y., Ma, X., & Dong, B. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1710.09668 · Cited by 507

Wavelet Transforms and Their Applications

Debnath, L., & Shah, F. A. (2014) · Birkhäuser Boston eBooks · doi:10.1007/978-0-8176-8418-1 · Cited by 505

Real-Time Computerized Annotation of Pictures

Li, J., & Wang, J. Z. (2008) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2007.70847 · Cited by 504

Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena

Majda, A. J., & Kramer, P. R. (1999) · Physics Reports · doi:10.1016/s0370-1573(98)00083-0 · Cited by 500

Measuring time-frequency information content using the Renyi entropies

Baraniuk, R. G., Flandrin, P., Janssen, A. J. E. M., & Michel, O. (2001) · IEEE Transactions on Information Theory · doi:10.1109/18.923723 · Cited by 499

Bayesian tree-structured image modeling using wavelet-domain hidden Markov models

Romberg, J., Choi, H., & Baraniuk, R. G. (2001) · IEEE Transactions on Image Processing · doi:10.1109/83.931100 · Cited by 496

Object Category Structure in Response Patterns of Neuronal Population in Monkey Inferior Temporal Cortex

Kiani, R., Esteky, H., Mirpour, K., & Tanaka, K. (2007) · Journal of Neurophysiology · doi:10.1152/jn.00024.2007 · Cited by 510

Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors

Moulin, P., & Liu, J. (1999) · IEEE Transactions on Information Theory · doi:10.1109/18.761332 · Cited by 495

An Equivalence Between Sparse Approximation and Support Vector Machines

Girosi, F. (1998) · Neural Computation · doi:10.1162/089976698300017269 · Cited by 497

Application of an improved kurtogram method for fault diagnosis of rolling element bearings

Lei, Y., Lin, J., He, Z., & Zi, Y. (2011) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2010.12.011 · Cited by 493

Voltage Fluctuations on Distribution Level Introduced by Photovoltaic Systems

Woyte, A., Thong, V. V., Belmans, R. J. M., & Nijs, J. (2006) · IEEE Transactions on Energy Conversion · doi:10.1109/tec.2005.845454 · Cited by 485

Noise reduction using an undecimated discrete wavelet transform

Lang, M., Guo, H., Odegard, J. E., Burrus, C. S., & Wells, R. O. (1996) · IEEE Signal Processing Letters · doi:10.1109/97.475823 · Cited by 479

A multi-scale high-resolution analysis of global sea surface temperature

Chin, T. M., Vazquez-Cuervo, J., & Armstrong, E. M. (2017) · Remote Sensing of Environment · doi:10.1016/j.rse.2017.07.029 · Cited by 475

The thermodynamics of fractals revisited with wavelets

Arnéodo, A., Bacry, E., & Muzy, J. (1995) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(94)00163-n · Cited by 472

Synopses for Massive Data: Samples, Histograms, Wavelets, Sketches

Cormode, G., Garofalakis, M., Haas, P. J., & Jermaine, C. (2011) · Foundations and Trends in Databases · doi:10.1561/1900000004 · Cited by 472

A Douglas–Rachford Splitting Approach to Nonsmooth Convex Variational Signal Recovery

Combettes, P. L., & Pesquet, J.-C. (2007) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2007.910264 · Cited by 472

Accelerating SENSE using compressed sensing

Liang, D., Liu, B., Wang, J., & Ying, L. L. (2009) · Magnetic Resonance in Medicine · doi:10.1002/mrm.22161 · Cited by 468

Adaptive wavelet methods for elliptic operator equations: Convergence rates

Cohen, A. K., Dahmen, W., & DeVore, R. (2000) · Mathematics of Computation · doi:10.1090/s0025-5718-00-01252-7 · Cited by 466

G-frames and g-Riesz bases

Sun, W. (2005) · Journal of Mathematical Analysis and Applications · doi:10.1016/j.jmaa.2005.09.039 · Cited by 465

Quantized Frame Expansions with Erasures

Goyal, V. K., Kovačević, J., & Kelner, J. A. (2001) · Applied and Computational Harmonic Analysis · doi:10.1006/acha.2000.0340 · Cited by 464

The Curvelet Transform

Ma, J., & Plonka, G. (2010) · IEEE Signal Processing Magazine · doi:10.1109/msp.2009.935453 · Cited by 476

Combination of images with diverse focuses using the spatial frequency

Shutao Li, A., Kwok, J. T.-Y., & Wang, Y. (2001) · Information Fusion · doi:10.1016/s1566-2535(01)00038-0 · Cited by 457

Multiresolution Dynamic Mode Decomposition

Kutz, J. N., Fu, X., & Brunton, S. L. (2016) · SIAM Journal on Applied Dynamical Systems · doi:10.1137/15m1023543 · Cited by 454

Applied and numerical harmonic analysis

Benedetto, J. J. (1997) · Birkhäuser-Verlag eBooks · Cited by 450

The application of multiwavelet filterbanks to image processing

Strela, V., Heller, P. N., Strang, G., Topiwala, P., & Heil, C. (1999) · IEEE Transactions on Image Processing · doi:10.1109/83.753742 · Cited by 446

A new approach for crude oil price analysis based on Empirical Mode Decomposition

Zhang, X., Lai, K. K., & Wang, S. (2007) · Energy Economics · doi:10.1016/j.eneco.2007.02.012 · Cited by 444

Short-term load forecasting using lifting scheme and ARIMA models

Lee, C., & Ko, C.-N. (2010) · Expert Systems with Applications · doi:10.1016/j.eswa.2010.11.033 · Cited by 440

Measurement of stand-sit and sit-stand transitions using a miniature gyroscope and its application in fall risk evaluation in the elderly

Najafi, B., Aminian, K., Loew, F., Blanc, Y., & Robert, P. A. (2002) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2002.800763 · Cited by 435

Redundant Multiscale Transforms and Their Application for Morphological Component Separation

Starck, J., Elad, M., & Donoho, D. L. (2004) · Advances in imaging and electron physics · doi:10.1016/s1076-5670(04)32006-9 · Cited by 434

A tutorial on modern lossy wavelet image compression: foundations of JPEG 2000

Usevitch, B. E. (2001) · IEEE Signal Processing Magazine · doi:10.1109/79.952803 · Cited by 432

Fast inversion of large-scale magnetic data using wavelet transforms and a logarithmic barrier method

Li, Y., & Oldenburg, D. W. (2003) · Geophysical Journal International · doi:10.1046/j.1365-246x.2003.01766.x · Cited by 430

Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang–Fix

Dragotti, P. L., Vetterli, M., & Blu, T. (2007) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2006.890907 · Cited by 428

On Estimation of the Wavelet Variance

PERCIVAL, D. P. (1995) · Biometrika · doi:10.1093/biomet/82.3.619 · Cited by 424

Pixel-level Image Fusion using Wavelets and Principal Component Analysis

Naidu, V., & Raol, J. R. (2008) · Defence Science Journal · doi:10.14429/dsj.58.1653 · Cited by 424

Data compression and harmonic analysis

Donoho, D. L., Vetterli, M., DeVore, R., & Daubechies, I. C. (1998) · IEEE Transactions on Information Theory · doi:10.1109/18.720544 · Cited by 424

Despeckling of medical ultrasound images

Michailovich, O., & Tannenbaum, A. (2006) · IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control · doi:10.1109/tuffc.2006.1588392 · Cited by 424

Characterization of distribution power quality events with Fourier and wavelet transforms

Santoso, S., Grady, W. M., Powers, E. J., Lamoree, J. D., & Bhatt, S. C. (2000) · IEEE Transactions on Power Delivery · doi:10.1109/61.847259 · Cited by 418

Automatic P-Wave Arrival Detection and Picking with Multiscale Wavelet Analysis for Single-Component Recordings

Zhang, H. (2003) · Bulletin of the Seismological Society of America · doi:10.1785/0120020241 · Cited by 416

Image fusion techniques for remote sensing applications

Simone, G., Farina, A., Morabito, F. C., Serpico, S. B., & Bruzzone, L. (2002) · Information Fusion · doi:10.1016/s1566-2535(01)00056-2 · Cited by 414

Wavelet and wavelet packet compression of electrocardiograms

Hilton, M. L. (1997) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.568915 · Cited by 414

Dense analytic subspaces in fractalL 2-spaces

Jørgensen, P. E. T., & Pedersen, S. (1998) · Journal d Analyse Mathématique · doi:10.1007/bf02788699 · Cited by 413

Fault Detection and Classification in Transmission Lines Based on Wavelet Transform and ANN

Silva, K. M., Souza, B. A., & Brito, N. S. D. (2006) · IEEE Transactions on Power Delivery · doi:10.1109/tpwrd.2006.876659 · Cited by 413

Optimal sequences, power control, and user capacity of synchronous CDMA systems with linear MMSE multiuser receivers

Viswanath, P., Anantharam, V., & Tse, D. N. C. (1999) · IEEE Transactions on Information Theory · doi:10.1109/18.782119 · Cited by 413

A comparative study on content-based music genre classification

Li, T., Ogihara, M., & Li, Q. (2003) · International ACM SIGIR Conference on Research and Development in Information Retrieval (SIGIR) · doi:10.1145/860435.860487 · Cited by 412

A region-based fuzzy feature matching approach to content-based image retrieval

Chen, Y., & Wang, J. Z. (2002) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2002.1033216 · Cited by 411

SAR speckle reduction using wavelet denoising and Markov random field modeling

Xie, H., Pierce, L. E., & Ulaby, F. T. (2002) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/tgrs.2002.802473 · Cited by 411

A Mathematical Theory of Deep Convolutional Neural Networks for Feature Extraction

Wiatowski, T., & Bölcskei, H. (2017) · IEEE Transactions on Information Theory · doi:10.1109/tit.2017.2776228 · Cited by 427

Wavelet analysis of sensor signals for tool condition monitoring: A review and some new results

Zhu, K., Wong, Y. S., & Hong, G. S. (2009) · International Journal of Machine Tools and Manufacture · doi:10.1016/j.ijmachtools.2009.02.003 · Cited by 408

Methodological issues in studies of air pollution and daily counts of deaths or hospital admissions.

Schwartz, J. D., Spix, C., Touloumi, G., Bachárová, L., Barumamdzadeh, T., Tertre, A. L., Piekarksi, T., de León, A. P., Pönkä, A., Rossi, G., et al. (1996) · Journal of Epidemiology & Community Health · doi:10.1136/jech.50.suppl_1.s3 · Cited by 408

Intrinsic time-scale decomposition: time–frequency–energy analysis and real-time filtering of non-stationary signals

Frei, M. G., & Osorio, I. (2006) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2006.1761 · Cited by 407

Texture Analysis: A Review of Neurologic MR Imaging Applications

Kassner, A., & Thornhill, R. E. (2010) · American Journal of Neuroradiology · doi:10.3174/ajnr.a2061 · Cited by 407

A study of Gaussian mixture models of color and texture features for image classification and segmentation

Permuter, H. H., Francos, J. M., & Jermyn, I. H. (2006) · Pattern Recognition · doi:10.1016/j.patcog.2005.10.028 · Cited by 406

MRTD: new time-domain schemes based on multiresolution analysis

Krumpholz, M., & Katehi, L. P. B. (1996) · IEEE Transactions on Microwave Theory and Techniques · doi:10.1109/22.491023 · Cited by 406

Nonlinear black-box models in system identification: Mathematical foundations

Juditsky, A., Hjalmarsson, H., Albert Benveniste, A., Delyon, B., Lennart Ljung, A., Sjoberg, J. S., & Zhang, Q. (1995) · Automatica · doi:10.1016/0005-1098(95)00119-1 · Cited by 404

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