Everything about Continuous wavelet transform

🧭 Start here: a 6-step reading path

1. Read the overview: Continuous wavelet transformA 5-minute orientation
2. Skim a recent paper: Intelligent Diagnosis Using Continuous Wavelet Transform and Gauss Convolutional Deep Belief NetworkInfluential work since 2022
3. Pick up a classic book: The Elements of Statistical LearningThe most-reprinted book on the subject
4. Read the landmark paper: Spike Detection Using the Continuous Wavelet TransformCited 320 times
5. Go sideways: Poisson waveletA closely related topic
6. Go sideways: Vanishing momentA closely related topic

🏆 Landmark papers (most cited)

• Spike Detection Using the Continuous Wavelet Transform

  Z. Nenadic, J.W. Burdick · 2005 · IEEE Transactions on Biomedical Engineering · 320 citations

• An algorithm for the continuous Morlet wavelet transform

  Richard Büssow · 2007 · Mechanical Systems and Signal Processing · 151 citations

• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform

  Elke Wilczok · 2000 · Documenta Mathematica · 105 citations

• Continuous wavelet transform analysis of projected fringe patterns

  Ali Dursun, Serhat Özder, F Necati Ecevit · 2004 · Measurement Science and Technology · 71 citations

• Uncertainty Principles for the Continuous Dunkl Gabor Transform and the Dunkl Continuous Wavelet Transform

  Hatem Mejjaoli, Nadia Sraieb · 2008 · Mediterranean Journal of Mathematics · 60 citations

• A continuous wavelet transform algorithm for peak detection

  Andrew Wee, David B. Grayden, Yonggang Zhu · 2008 · ELECTROPHORESIS · 59 citations

• Fast Directional Continuous Spherical Wavelet Transform Algorithms

  Jason D. McEwen, Michael P. Hobson, Daniel J. Mortlock · 2007 · IEEE Transactions on Signal Processing · 50 citations

• Continuous Cauchy Wavelet Transform of XAFS Spectra

  M. Muoz, F. Farges, P. Argoul · 2005 · Physica Scripta · 39 citations

🆕 Influential since 2022

• Intelligent Diagnosis Using Continuous Wavelet Transform and Gauss Convolutional Deep Belief Network

  Huimin Zhao, Jie Liu, Huayue Chen · 2023 · IEEE Transactions on Reliability · 238 citations

• The fast continuous wavelet transformation (fCWT) for real-time, high-quality, noise-resistant time–frequency analysis

  Lukas P. A. Arts, Egon. L. van den Broek · 2022 · Nature Computational Science · 232 citations

• Integrated Gradient-Based Continuous Wavelet Transform for Bearing Fault Diagnosis

  Junfei Du, Xinyu Li, Yiping Gao · 2022 · Sensors · 60 citations

• Emotion recognition in EEG signals using the continuous wavelet transform and CNNs

  Oscar Almanza-Conejo, Dora Luz Almanza-Ojeda, Jose Luis Contreras-Hernandez · 2022 · Neural Computing and Applications · 49 citations

• Enhancing ECG classification with continuous wavelet transform and multi-branch transformer

  Chenyang Qiu, Hao Li, Chaoqun Qi · 2024 · Heliyon · 45 citations

📚 Books worth reading

• The Elements of Statistical LearningTrevor Hastie, Robert Tibshirani · 2001
• 📕Introduction to orthogonal transformsRuye Wang · 2012
• The mathematics of signal processingSteven B. Damelin · 2011
• 📕Applied data miningGuandong Xu · 2013
• Emerging Technologies for Information Systems, Computing, and ManagementW. Eric Wong · 2013
• Abstract Harmonic Analysis of Continuous Wavelet TransformsHartmut Führ · 2005
• Phonocardiography signal processingAbbas K. Abbas · 2009
• 📕Applications of the continuous wavelet transform to analyzing otoacoustic emissionsHassan REfaee · 1993

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

• Poisson wavelet In mathematics, in functional analysis, several different wavelets are known by the name Poisson wavelet. In one context, the term "Poisson wavelet" is…
• Vanishing moment Vanishing moments are a fundamental concept in wavelet theory, signal processing, and functional analysis. They describe a property of a wavelet or function…
• Fractional wavelet transform Fractional wavelet transform (FRWT) is a generalization of the classical wavelet transform (WT). This transform is proposed in order to rectify the limitations…
• Shannon wavelet In functional analysis, the Shannon wavelet (or sinc wavelets) is a decomposition that is defined by signal analysis by ideal bandpass filters. Shannon…
• Wavelet transform In mathematics, a wavelet series is a representation of a square-integrable (real- or complex-valued) function by a certain orthonormal series generated…
• Cauchy wavelet In mathematics, Cauchy wavelets are a family of continuous wavelets, used in the continuous wavelet transform. The Cauchy wavelet of order p {\displaystyle…
• Beta wavelet Continuous wavelets of compact support alpha can be built, which are related to the beta distribution. The process is derived from probability distributions…
• Parseval's theorem In mathematics, Parseval's theorem usually refers to the result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square…