Ten Lectures on Wavelets

Theory of regular M-band wavelet bases

Steffen, P., Heller, P. N., Gopinath, R., & Burrus, C. S. (1993) · IEEE Transactions on Signal Processing · doi:10.1109/78.258088 · Cited by 302

Structural health monitoring using scanning laser vibrometry: I. Lamb wave sensing

Staszewski, W. J., Lee, B., Mallet, L., & Scarpa, F. L. (2004) · Smart Materials and Structures · doi:10.1088/0964-1726/13/2/002 · Cited by 300

The Use of Ensemble Empirical Mode Decomposition With Canonical Correlation Analysis as a Novel Artifact Removal Technique

Sweeney, K. T., McLoone, S., & Ward, T. E. (2012) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2012.2225427 · Cited by 299

Image processing for artist identification

Johnson, C. R., Hendriks, E., Berezhnoy, I., Brevdo, E., Hughes, S. M., Daubechies, I. C., Li, J., Postma, E. O., & Wang, J. Z. (2008) · IEEE Signal Processing Magazine · doi:10.1109/msp.2008.923513 · Cited by 298

The design of approximate Hilbert transform pairs of wavelet bases

Selesnick, I. (2002) · IEEE Transactions on Signal Processing · doi:10.1109/78.995070 · Cited by 298

Wavelet bicoherence: A new turbulence analysis tool

van Milligen, B. P., Sánchez, E., Estrada, T., Hidalgo, C., Brañas, B., Carreras, B. A., & García, L. (1995) · Physics of Plasmas · doi:10.1063/1.871199 · Cited by 297

Analysis of Subtidal Coastal Sea Level Fluctuations Using Wavelets

Percival, D. B., & Mofjeld, H. O. (1997) · Journal of the American Statistical Association · doi:10.1080/01621459.1997.10474042 · Cited by 297

Incorporating Information on Neighboring Coefficients Into Wavelet Estimation

Cai, T., & Silverman, B. W. (2001) · Cited by 296

BREAKING THE COHERENCE BARRIER: A NEW THEORY FOR COMPRESSED SENSING

Adcock, B., Hansen, A. C., Poon, C., & Roman, B. (2017) · Forum of Mathematics Sigma · doi:10.1017/fms.2016.32 · Cited by 296

Noise reduction for magnetic resonance images via adaptive multiscale products thresholding

Bao, P. G., & Lei Zhang, A. (2003) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2003.816958 · Cited by 295

Signal recovery from random projections

Candès, E. J., & Romberg, J. K. (2005) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.600722 · Cited by 295

Design of prefilters for discrete multiwavelet transforms

Xia, X.-G., Geronimo, J. S., Hardin, D. P., & Suter, B. W. (1996) · IEEE Transactions on Signal Processing · doi:10.1109/78.482009 · Cited by 295

Modelling fluctuations of financial time series: from cascade process to stochastic volatility model

Muzy, J., Delour, J., & Bacry, E. (2000) · The European Physical Journal B · doi:10.1007/s100510070131 · Cited by 294

Nonlinear Wavelet Shrinkage with Bayes Rules and Bayes Factors

Vidaković, B. (1998) · Journal of the American Statistical Association · doi:10.1080/01621459.1998.10474099 · Cited by 291

Lossless image compression using integer to integer wavelet transforms

Calderbank, A. R., Daubechies, I. C., Sweldens, W., & Yeo, B.-L. (2002) · Proceedings - International Conference on Image Processing · doi:10.1109/icip.1997.647983 · Cited by 291

The changing nature of network traffic

Feldmann, A., Gilbert, A. C., Willinger, W., & Kurtz, T. G. (1998) · ACM SIGCOMM Computer Communication Review · doi:10.1145/279345.279346 · Cited by 291

Natural computing for mechanical systems research: A tutorial overview

Worden, K., Staszewski, W. J., & Hensman, J. J. (2010) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2010.07.013 · Cited by 297

Regularity-preserving image interpolation

Carey, W. K., Chuang, D. B., & Hemami, S. S. (1999) · IEEE Transactions on Image Processing · doi:10.1109/83.784441 · Cited by 290

Feature extraction from wavelet coefficients for pattern recognition tasks

Pittner, S., & Kamarthi, S. V. (1999) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.745739 · Cited by 290

Jump and Sharp Cusp Detection by Wavelets

Wang, Y. (1995) · Biometrika · doi:10.1093/biomet/82.2.385 · Cited by 288

Short-term traffic speed forecasting hybrid model based on Chaos–Wavelet Analysis-Support Vector Machine theory

Wang, J., & Shi, Q. (2012) · Transportation Research Part C Emerging Technologies · doi:10.1016/j.trc.2012.08.004 · Cited by 288

A review of the fractal image coding literature

Wohlberg, B. E., & Jager, G. D. (1999) · IEEE Transactions on Image Processing · doi:10.1109/83.806618 · Cited by 288

Automatic recognition of alertness level from EEG by using neural network and wavelet coefficients

Subaşı, A. (2005) · Expert Systems with Applications · doi:10.1016/j.eswa.2004.12.027 · Cited by 287

Crack identification in beams using wavelet analysis

Douka, E., Loutridis, S., & Trochidis, A. (2003) · International Journal of Solids and Structures · doi:10.1016/s0020-7683(03)00147-1 · Cited by 287

A review of analytical techniques for gait data. Part 2: neural network and wavelet methods

Chau, T. T. (2001) · Gait & Posture · doi:10.1016/s0966-6362(00)00095-3 · Cited by 299

Proto-value Functions: A Laplacian Framework for Learning Representation and Control in Markov Decision Processes

Mahadevan, S., & Maggioni, M. (2007) · doi:10.5555/1314498.1314570 · Cited by 287

Optimal ofdm design for time-frequency dispersive channels

Strohmer, T., & Beaver, S. (2003) · IEEE Transactions on Communications · doi:10.1109/tcomm.2003.814200 · Cited by 285

A full sky, low foreground, high resolution CMB map from WMAP

Delabrouille, J., Cardoso, J.-F., Jeune, M. L., Betoule, M., Faÿ, G., & Guilloux, F. (2008) · Astronomy and Astrophysics · doi:10.1051/0004-6361:200810514 · Cited by 285

Bayesian Data Fusion for Adaptable Image Pansharpening

Fasbender, D., Radoux, J., & Bogaert, P. (2008) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/tgrs.2008.917131 · Cited by 285

A Survey of Data Mining and Deep Learning in Bioinformatics

Lan, K., Wang, D., Fong, S. J., Liu, L.-S., Wong, K. K. L., & Dey, N. (2018) · Journal of Medical Systems · doi:10.1007/s10916-018-1003-9 · Cited by 292

An improved SPH scheme for cosmological simulations

Beck, A. M., Murante, G., Arth, A., Remus, R., Teklu, A. F., Donnert, J., Planelles, S., Beck, M. C., Förster, P. U., Imgrund, M., et al. (2015) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stv2443 · Cited by 305

A system to detect the onset of epileptic seizures in scalp EEG

Saab, M., & Gotman, J. (2004) · Clinical Neurophysiology · doi:10.1016/j.clinph.2004.08.004 · Cited by 283

Monte Carlo Variance of Scrambled Net Quadrature

Owen, A. B. (1997) · SIAM Journal on Numerical Analysis · doi:10.1137/s0036142994277468 · Cited by 282

Performance analysis of image compression using wavelets

Grgić, S., Grgić, M., & Zovko-Cihlar, B. (2001) · IEEE Transactions on Industrial Electronics · doi:10.1109/41.925596 · Cited by 282

Similarity search over time-series data using wavelets

Popivanov, I., & Miller, R. J. (2003) · IEEE International Conference on Data Engineering (ICDE) · doi:10.1109/icde.2002.994711 · Cited by 282

nbodykit: An Open-source, Massively Parallel Toolkit for Large-scale Structure

Hand, N., Feng, Y., Beutler, F., Li, Y., Modi, C., Seljak, U., & Slepian, Z. (2018) · The Astronomical Journal · doi:10.3847/1538-3881/aadae0 · Cited by 282

Optimized orthogonal matching pursuit approach

Rebollo‐Neira, L., & Lowe, D. (2002) · IEEE Signal Processing Letters · doi:10.1109/lsp.2002.1001652 · Cited by 281

Practical Signal Recovery from Random Projections

Romberg, J. (2005) · Cited by 281

Pipe system diagnosis and leak detection by unsteady-state tests. 1. Harmonic analysis

Ferrante, M., & Brunone, B. (2002) · Advances in Water Resources · doi:10.1016/s0309-1708(02)00101-x · Cited by 280

An automated palmprint recognition system

Connie, T., Teoh, A. B. J., Goh, M. K. O., & Ling, D. N. C. (2005) · Image and Vision Computing · doi:10.1016/j.imavis.2005.01.002 · Cited by 280

Using discrete wavelet transforms to analyze trends in streamflow and precipitation in Quebec and Ontario (1954–2008)

Nalley, D., Adamowski, J., & Khalil, B. (2012) · Journal of Hydrology · doi:10.1016/j.jhydrol.2012.09.049 · Cited by 280

Test of Significance Based on Wavelet Thresholding and Neyman's Truncation

Fan, J. (1996) · Journal of the American Statistical Association · doi:10.1080/01621459.1996.10476936 · Cited by 280

Bearing Damage Detection via Wavelet Packet Decomposition of the Stator Current

Eren, L., & Devaney, M. J. (2004) · IEEE Transactions on Instrumentation and Measurement · doi:10.1109/tim.2004.823323 · Cited by 280

A B-spline approach for empirical mode decompositions

Chen, Q., Huang, N. E., Riemenschneider, S. D., & Xu, Y. (2006) · Advances in Computational Mathematics · doi:10.1007/s10444-004-7614-3 · Cited by 278

Wavelet neural networks: A practical guide

Alexandridis, A., & Zapranis, A. D. (2013) · Neural Networks · doi:10.1016/j.neunet.2013.01.008 · Cited by 288

Application of mother wavelet functions for automatic gear and bearing fault diagnosis

Rafiee, J., Reif, J., & Tse, P. W.-T. (2009) · Expert Systems with Applications · doi:10.1016/j.eswa.2009.12.051 · Cited by 278

Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme

Phoon, K., Huang, S. P., & Quek, S. T. (2002) · Probabilistic Engineering Mechanics · doi:10.1016/s0266-8920(02)00013-9 · Cited by 277

Scale-free structural organization of oxygen interstitials in La2CuO4+y

Fratini, M., Poccia, N., Ricci, A., Campi, G., Burghammer, M. C., Aeppli, G., & Bianconi, A. (2010) · Nature · doi:10.1038/nature09260 · Cited by 276

A Theory for Sampling Signals From a Union of Subspaces

Lu, Y. M., & Do, M. N. (2008) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2007.914346 · Cited by 276

A joint inter- and intrascale statistical model for Bayesian wavelet based image denoising

Pižurica, A., Philips, W. R., Lemahieu, I. A., & Acheroy, M. P. J. (2002) · IEEE Transactions on Image Processing · doi:10.1109/tip.2002.1006401 · Cited by 275

Automatic detection of drowsiness in EEG records based on multimodal analysis

Correa, A. G., Orosco, L. L., & Laciar, E. (2013) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2013.07.011 · Cited by 274

Determination of the Hurst exponent by use of wavelet transforms

Simonsen, I., Hansen, A., & Nes, O. (1998) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.58.2779 · Cited by 273

Interactive desktop analysis of high resolution simulations: application to turbulent plume dynamics and current sheet formation

Clyne, J., Mininni, P. D., Norton, A., & Rast, M. (2007) · New Journal of Physics · doi:10.1088/1367-2630/9/8/301 · Cited by 273

Prediction of geological conditions for a tunnel boring machine using big operational data

Zhang, Q., Liu, Z., & Tan, J. (2019) · Automation in Construction · doi:10.1016/j.autcon.2018.12.022 · Cited by 275

Automatic Artifact Rejection From Multichannel Scalp EEG by Wavelet ICA

Mammone, N., Foresta, F. L., & Morabito, F. C. (2011) · IEEE Sensors Journal · doi:10.1109/jsen.2011.2115236 · Cited by 271

Scaling Laws for Density Correlations and Fluctuations in Multiparticle DynamicsPreprint

Wolf, E. A. D., Dremin, I. M., & Kittel, W. (1993) · Cited by 271

Compactly supported tight and sibling frames with maximum vanishing moments

Chui, C. K., He, W., & Stöckler, J. (2002) · Applied and Computational Harmonic Analysis · doi:10.1016/s1063-5203(02)00510-9 · Cited by 269

Scrambled net variance for integrals of smooth functions

Owen, A. B. (1997) · The Annals of Statistics · doi:10.1214/aos/1031594731 · Cited by 269

The Bayesian Approach to Inverse Problems

Dashti, M., & Stuart, A. M. (2015) · Springer eBooks · doi:10.1007/978-3-319-11259-6_7-1 · Cited by 275

Multiridge detection and time-frequency reconstruction

Carmona, R. A., Hwang, W. L., & Torresani, B. (1999) · IEEE Transactions on Signal Processing · doi:10.1109/78.740131 · Cited by 269

Time–frequency signal analysis for gearbox fault diagnosis using a generalized synchrosqueezing transform

Li, C., & Liang, M. (2011) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2011.07.001 · Cited by 268

Data preprocessing for river flow forecasting using neural networks: Wavelet transforms and data partitioning

Cannas, B., Fanni, A., See, L., & Sias, G. (2006) · Physics and Chemistry of the Earth Parts A/B/C · doi:10.1016/j.pce.2006.03.020 · Cited by 267

Vehicle Detection Using Normalized Color and Edge Map

Tsai, L.-W., Hsieh, J., & Fan, K. (2007) · IEEE Transactions on Image Processing · doi:10.1109/tip.2007.891147 · Cited by 267

JPEG2000: standard for interactive imaging

Taubman, D., & Marcellin, M. W. (2002) · Proceedings of the IEEE · doi:10.1109/jproc.2002.800725 · Cited by 266

Weyl-Heisenberg frames and Riesz bases in L2(ℝd)

Ron, A., & Shen, Z. (1997) · Duke Mathematical Journal · doi:10.1215/s0012-7094-97-08913-4 · Cited by 265

Framing pyramids

Do, M. N., & Vetterli, M. (2003) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2003.815389 · Cited by 265

Analyzing volatility spillovers and hedging between oil and stock markets: Evidence from wavelet analysis

Khalfaoui, R., Boutahar, M., & Boubaker, H. (2015) · Energy Economics · doi:10.1016/j.eneco.2015.03.023 · Cited by 264

Log-polar wavelet energy signatures for rotation and scale invariant texture classification

Pun, C., & Lee, M.-C. (2003) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2003.1195993 · Cited by 264

Information-theoretic analysis of interscale and intrascale dependencies between image wavelet coefficients

Liu, J., & Moulin, P. (2001) · IEEE Transactions on Image Processing · doi:10.1109/83.967393 · Cited by 264

Evaluation of Front Detection Methods for Satellite-Derived SST Data Using In Situ Observations

Ullman, D. S., & Cornillon, P. (2000) · Journal of Atmospheric and Oceanic Technology · doi:10.1175/1520-0426(2000)017 · Cited by 103

Approximate queries and representations for large data sequences

Shatkay, H., & Zdonik, S. B. (2002) · IEEE International Conference on Data Engineering (ICDE) · doi:10.1109/icde.1996.492204 · Cited by 263

Theory of deep convolutional neural networks: Downsampling

Zhou, D.-X. (2020) · Neural Networks · doi:10.1016/j.neunet.2020.01.018 · Cited by 263

A Self-Organizing Learning Array System for Power Quality Classification Based on Wavelet Transform

He, H., & Starzyk, J. A. (2005) · IEEE Transactions on Power Delivery · doi:10.1109/tpwrd.2005.852392 · Cited by 263

Multiscale nature of network traffic

Abry, P., Baraniuk, R. G., Flandrin, P., Riedi, R. H., & Veitch, D. N. (2002) · IEEE Signal Processing Magazine · doi:10.1109/79.998080 · Cited by 260

A proximal decomposition method for solving convex variational inverse problems

Combettes, P. L., & Pesquet, J. (2008) · Inverse Problems · doi:10.1088/0266-5611/24/6/065014 · Cited by 260

Hybrid Particle Swarm Optimization With Wavelet Mutation and Its Industrial Applications

Ling, S. H., Iu, H. H., Chan, K. Y., Lam, H., Yeung, B. C. W., & Leung, F. H. F. (2008) · IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · doi:10.1109/tsmcb.2008.921005 · Cited by 260

An introduction to the tomographic picture of quantum mechanics

Ibort, A., Man’ko, V. I., Marmo, G., Simoni, A., & Ventriglia, F. (2009) · Physica Scripta · doi:10.1088/0031-8949/79/06/065013 · Cited by 262

Accuracy analysis for wavelet approximations

Delyon, B., Juditsky, A., & Albert Benveniste, A. (1995) · IEEE Transactions on Neural Networks · doi:10.1109/72.363469 · Cited by 259

Continuous curvelet transform

Candès, E. J., & Donoho, D. L. (2005) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2005.02.004 · Cited by 258

Accelerated Projected Gradient Method for Linear Inverse Problems with Sparsity Constraints

Daubechies, I., Fornasier, M., & Loris, I. (2008) · Journal of Fourier Analysis and Applications · doi:10.1007/s00041-008-9039-8 · Cited by 258

Wavelets and functional magnetic resonance imaging of the human brain

Bullmore, E. T., Fadili, J. M., Maxim, V., Sendur, L., Whitcher, B. J., John Suckling, A., Brammer, M. J., & Breakspear, M. J. (2004) · NeuroImage · doi:10.1016/j.neuroimage.2004.07.012 · Cited by 257

Generalized Daubechies Wavelet Families

Vonesch, C., Blu, T., & Unser, M. A. (2007) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2007.896255 · Cited by 256

Second-Generation Wavelet Collocation Method for the Solution of Partial Differential Equations

Vasilyev, O. V., & Bowman, C. (2000) · Journal of Computational Physics · doi:10.1006/jcph.2000.6638 · Cited by 256

An introduction to wavelet transforms for chemometricians: A time-frequency approach

Alsberg, B. K., Woodward, A. M., & Kell, D. B. (1997) · Chemometrics and Intelligent Laboratory Systems · doi:10.1016/s0169-7439(97)00029-4 · Cited by 256

Generalized feature extraction for structural pattern recognition in time-series data

Olszewski, R., Maxion, R. A., & Siewiorek, D. P. (2001) · Cited by 255

Wavelet-Based Energy Features for Glaucomatous Image Classification

Dua, S., Acharya, U. R., Chowriappa, P., & Sree, S. V. (2011) · IEEE Transactions on Information Technology in Biomedicine · doi:10.1109/titb.2011.2176540 · Cited by 255

Adaptive Solution of Partial Differential Equations in Multiwavelet Bases

Alpert, B. K., Beylkin, G., Gines, D., & Vozovoi, L. P. (2002) · Journal of Computational Physics · doi:10.1006/jcph.2002.7160 · Cited by 254

Data-driven tight frame construction and image denoising

Cai, J., Ji, H., Shen, Z., & Ye, G. (2013) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2013.10.001 · Cited by 257

Brushlets: A Tool for Directional Image Analysis and Image Compression

Meyer, F. G., & Coifman, R. R. (1997) · Applied and Computational Harmonic Analysis · doi:10.1006/acha.1997.0208 · Cited by 251

Error correction via linear programming

Candès, E. J., Rudelson, M., Tao, T., & Vershynin, R. (2005) · Annual Symposium on Foundations of Computer Science · doi:10.1109/sfcs.2005.5464411 · Cited by 251

Interaction-dominant dynamics in human cognition: Beyond 1/ƒα fluctuation.

Ihlen, E. A. F., & Vereijken, B. (2010) · Journal of Experimental Psychology General · doi:10.1037/a0019098 · Cited by 251

Duality and Biorthogonality for Weyl-Heisenberg Frames

Janssen, A. J. E. M. (1994) · Journal of Fourier Analysis and Applications · doi:10.1007/s00041-001-4017-4 · Cited by 251

An ensemble approach for short-term load forecasting by extreme learning machine

Song, L., Goel, L., & Wang, P. (2016) · Applied Energy · doi:10.1016/j.apenergy.2016.02.114 · Cited by 250

Wavelet radiosity

Gortler, S. J., Schröder, P., Cohen, M. F., & Hanrahan, P. (1993) · ACM SIGGRAPH Conference (SIGGRAPH) · doi:10.1145/166117.166146 · Cited by 250

Emerging applications of wavelets: A review

Akansu, A. N., Serdijn, W. A., & Selesnick, I. (2009) · Physical Communication · doi:10.1016/j.phycom.2009.07.001 · Cited by 248

Affine systems inL 2 (ℝ d ) II: Dual systems

Ron, A., & Shen, Z. (1997) · Journal of Fourier Analysis and Applications · doi:10.1007/bf02648888 · Cited by 245

Wavelet and Fourier Methods for Solving the Sideways Heat Equation

Eldén, L., Berntsson, F., & Regińska, T. (2000) · SIAM Journal on Scientific Computing · doi:10.1137/s1064827597331394 · Cited by 245

Independent component analysis applied to feature extraction from colour and stereo images

Hoyer, P. O., & Hyvärinen, A. (2000) · Network Computation in Neural Systems · doi:10.1088/0954-898x_11_3_302 · Cited by 246

The Structure of Shift-Invariant Subspaces of L2(Rn)

Bownik, M. (2000) · Journal of Functional Analysis · doi:10.1006/jfan.2000.3635 · Cited by 245

An effective wavelet-based feature extraction method for classification of power quality disturbance signals

Uyar, M., Yıldırım, S., & Gençoğlu, M. T. (2008) · Electric Power Systems Research · doi:10.1016/j.epsr.2008.03.002 · Cited by 243

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