Wavelet (English Wikipedia)

P. Fraundorf, J. Wang, E. Mandell and M. Rose (2006) Digital darkfield tableaus, Microscopy and Microanalysis 12:S2, 1010–1011 (cf. arXiv:cond-mat/0403017)
Abbott, Benjamin P.; et al. (LIGO Scientific Collaboration and Virgo Collaboration) (2016). "Observing gravitational-wave transient GW150914 with minimal assumptions". Phys. Rev. D. 93 (12): 122004. arXiv:1602.03843. Bibcode:2016PhRvD..93l2004A. doi:10.1103/PhysRevD.93.122004. S2CID 119313566.

books.google.com

Bovik, Alan C. (2009). The Essential Guide to Video Processing. Academic Press. p. 355. ISBN 9780080922508.
Taubman, David; Marcellin, Michael (2012). JPEG2000 Image Compression Fundamentals, Standards and Practice: Image Compression Fundamentals, Standards and Practice. Springer Science & Business Media. ISBN 9781461507994.
Swartz, Charles S. (2005). Understanding Digital Cinema: A Professional Handbook. Taylor & Francis. p. 147. ISBN 9780240806174.

dias.ie

homepages.dias.ie

Haines, VG. V.; Jones, Alan G. (1988). "Logarithmic Fourier Transform" (PDF). Geophysical Journal (92): 171–178. doi:10.1111/j.1365-246X.1988.tb01131.x. S2CID 9720759.

doi.org

Ricker, Norman (1953). "Wavelet Contraction, Wavelet Expansion, and the Control of Seismic Resolution". Geophysics. 18 (4): 769–792. Bibcode:1953Geop...18..769R. doi:10.1190/1.1437927.
Szu, Harold H.; Telfer, Brian A.; Lohmann, Adolf W. (1992). "Causal analytical wavelet transform". Optical Engineering. 31 (9): 1825. Bibcode:1992OptEn..31.1825S. doi:10.1117/12.59911.
Lindeberg, T. (23 January 2023). "A time-causal and time-recursive scale-covariant scale-space representation of temporal signals and past time". Biological Cybernetics. 117 (1–2): 21–59. doi:10.1007/s00422-022-00953-6. PMC 10160219. PMID 36689001.
Haines, VG. V.; Jones, Alan G. (1988). "Logarithmic Fourier Transform" (PDF). Geophysical Journal (92): 171–178. doi:10.1111/j.1365-246X.1988.tb01131.x. S2CID 9720759.
Gall, Didier Le; Tabatabai, Ali J. (1988). "Sub-band coding of digital images using symmetric short kernel filters and arithmetic coding techniques". ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing. pp. 761–764 vol.2. doi:10.1109/ICASSP.1988.196696. S2CID 109186495.
Said, Amir; Pearlman, William A. (June 1996). "A new fast and efficient image codec based on set partitioning in hierarchical trees". IEEE Transactions on Circuits and Systems for Video Technology. 6 (3): 243–250. doi:10.1109/76.499834. ISSN 1051-8215.
Unser, M.; Blu, T. (2003). "Mathematical properties of the JPEG2000 wavelet filters" (PDF). IEEE Transactions on Image Processing. 12 (9): 1080–1090. Bibcode:2003ITIP...12.1080U. doi:10.1109/TIP.2003.812329. PMID 18237979. S2CID 2765169. Archived from the original (PDF) on 2019-10-13.
Hÿtch, M. J.; Snoeck, E.; Kilaas, R. (1998). "Quantitative measurement of displacement and strain fields from HRTEM micrographs". Ultramicroscopy. 74 (3): 131–146. doi:10.1016/s0304-3991(98)00035-7.
Shi, J.; Zhang, N.-T.; Liu, X.-P. (2011). "A novel fractional wavelet transform and its applications". Sci. China Inf. Sci. 55 (6): 1270–1279. doi:10.1007/s11432-011-4320-x. S2CID 255201598.
Lyakhov, Pavel; Semyonova, Nataliya; Nagornov, Nikolay; Bergerman, Maxim; Abdulsalyamova, Albina (2023-11-14). "High-Speed Wavelet Image Processing Using the Winograd Method with Downsampling". Mathematics. 11 (22): 4644. doi:10.3390/math11224644. ISSN 2227-7390. Wavelets are actively used to solve a wide range of image processing problems in various fields of science and technology, e.g., image denoising, reconstruction, analysis, and video analysis and processing. Wavelet processing methods are based on the discrete wavelet transform using 1D digital filtering.
Dong, Liang; Zhang, Shaohua; Gan, Tiansiyu; Qiu, Yan; Song, Qinfeng; Zhao, Yongtao (2023-12-01). "Frequency characteristics analysis of pipe-to-soil potential under metro stray current interference using continuous wavelet transform method". Construction and Building Materials. 407: 133453. doi:10.1016/j.conbuildmat.2023.133453. ISSN 0950-0618. S2CID 263317973.
Stefano Galli; O. Logvinov (July 2008). "Recent Developments in the Standardization of Power Line Communications within the IEEE". IEEE Communications Magazine. 46 (7): 64–71. doi:10.1109/MCOM.2008.4557044. S2CID 2650873. An overview of P1901 PHY/MAC proposal.
Wotherspoon, T.; et., al. (2009). "Adaptation to the edge of chaos with random-wavelet feedback". J. Phys. Chem. 113 (1): 19–22. Bibcode:2009JPCA..113...19W. doi:10.1021/jp804420g. PMID 19072712.
Abbott, Benjamin P.; et al. (LIGO Scientific Collaboration and Virgo Collaboration) (2016). "Observing gravitational-wave transient GW150914 with minimal assumptions". Phys. Rev. D. 93 (12): 122004. arXiv:1602.03843. Bibcode:2016PhRvD..93l2004A. doi:10.1103/PhysRevD.93.122004. S2CID 119313566.
V Necula, S Klimenko and G Mitselmakher (2012). "Transient analysis with fast Wilson-Daubechies time-frequency transform". Journal of Physics: Conference Series. 363 (1): 012032. Bibcode:2012JPhCS.363a2032N. doi:10.1088/1742-6596/363/1/012032.
Rafiee, J.; Tse, Peter W. (2009). "Use of autocorrelation in wavelet coefficients for fault diagnosis". Mechanical Systems and Signal Processing. 23 (5): 1554–72. Bibcode:2009MSSP...23.1554R. doi:10.1016/j.ymssp.2009.02.008.
Agarwal, Ankit; Maheswaran, Rathinasamy; Marwan, Norbert; Caesar, Levke; Kurths, Jürgen (November 2018). "Wavelet-based multiscale similarity measure for complex networks" (PDF). The European Physical Journal B. 91 (11): 296. Bibcode:2018EPJB...91..296A. doi:10.1140/epjb/e2018-90460-6. eISSN 1434-6036. ISSN 1434-6028. S2CID 125557123.
Agarwal, Ankit; Marwan, Norbert; Rathinasamy, Maheswaran; Merz, Bruno; Kurths, Jürgen (13 October 2017). "Multi-scale event synchronization analysis for unravelling climate processes: a wavelet-based approach". Nonlinear Processes in Geophysics. 24 (4): 599–611. Bibcode:2017NPGeo..24..599A. doi:10.5194/npg-24-599-2017. eISSN 1607-7946. S2CID 28114574.
Agarwal, Ankit; Caesar, Levke; Marwan, Norbert; Maheswaran, Rathinasamy; Merz, Bruno; Kurths, Jürgen (19 June 2019). "Network-based identification and characterization of teleconnections on different scales". Scientific Reports. 9 (1): 8808. Bibcode:2019NatSR...9.8808A. doi:10.1038/s41598-019-45423-5. eISSN 2045-2322. PMC 6584743. PMID 31217490.

dspguide.com

The Scientist and Engineer's Guide to Digital Signal Processing By Steven W. Smith, Ph.D. chapter 8 equation 8-1: http://www.dspguide.com/ch8/4.htm

harvard.edu

ui.adsabs.harvard.edu

Ricker, Norman (1953). "Wavelet Contraction, Wavelet Expansion, and the Control of Seismic Resolution". Geophysics. 18 (4): 769–792. Bibcode:1953Geop...18..769R. doi:10.1190/1.1437927.
Szu, Harold H.; Telfer, Brian A.; Lohmann, Adolf W. (1992). "Causal analytical wavelet transform". Optical Engineering. 31 (9): 1825. Bibcode:1992OptEn..31.1825S. doi:10.1117/12.59911.
Unser, M.; Blu, T. (2003). "Mathematical properties of the JPEG2000 wavelet filters" (PDF). IEEE Transactions on Image Processing. 12 (9): 1080–1090. Bibcode:2003ITIP...12.1080U. doi:10.1109/TIP.2003.812329. PMID 18237979. S2CID 2765169. Archived from the original (PDF) on 2019-10-13.
Wotherspoon, T.; et., al. (2009). "Adaptation to the edge of chaos with random-wavelet feedback". J. Phys. Chem. 113 (1): 19–22. Bibcode:2009JPCA..113...19W. doi:10.1021/jp804420g. PMID 19072712.
Abbott, Benjamin P.; et al. (LIGO Scientific Collaboration and Virgo Collaboration) (2016). "Observing gravitational-wave transient GW150914 with minimal assumptions". Phys. Rev. D. 93 (12): 122004. arXiv:1602.03843. Bibcode:2016PhRvD..93l2004A. doi:10.1103/PhysRevD.93.122004. S2CID 119313566.
V Necula, S Klimenko and G Mitselmakher (2012). "Transient analysis with fast Wilson-Daubechies time-frequency transform". Journal of Physics: Conference Series. 363 (1): 012032. Bibcode:2012JPhCS.363a2032N. doi:10.1088/1742-6596/363/1/012032.
Rafiee, J.; Tse, Peter W. (2009). "Use of autocorrelation in wavelet coefficients for fault diagnosis". Mechanical Systems and Signal Processing. 23 (5): 1554–72. Bibcode:2009MSSP...23.1554R. doi:10.1016/j.ymssp.2009.02.008.
Agarwal, Ankit; Maheswaran, Rathinasamy; Marwan, Norbert; Caesar, Levke; Kurths, Jürgen (November 2018). "Wavelet-based multiscale similarity measure for complex networks" (PDF). The European Physical Journal B. 91 (11): 296. Bibcode:2018EPJB...91..296A. doi:10.1140/epjb/e2018-90460-6. eISSN 1434-6036. ISSN 1434-6028. S2CID 125557123.
Agarwal, Ankit; Marwan, Norbert; Rathinasamy, Maheswaran; Merz, Bruno; Kurths, Jürgen (13 October 2017). "Multi-scale event synchronization analysis for unravelling climate processes: a wavelet-based approach". Nonlinear Processes in Geophysics. 24 (4): 599–611. Bibcode:2017NPGeo..24..599A. doi:10.5194/npg-24-599-2017. eISSN 1607-7946. S2CID 28114574.
Agarwal, Ankit; Caesar, Levke; Marwan, Norbert; Maheswaran, Rathinasamy; Merz, Bruno; Kurths, Jürgen (19 June 2019). "Network-based identification and characterization of teleconnections on different scales". Scientific Reports. 9 (1): 8808. Bibcode:2019NatSR...9.8808A. doi:10.1038/s41598-019-45423-5. eISSN 2045-2322. PMC 6584743. PMID 31217490.

hig.no

ansatt.hig.no

Erik Hjelmås (1999-01-21) Gabor Wavelets URL: http://www.ansatt.hig.no/erikh/papers/scia99/node6.html

itu.int

Sullivan, Gary (8–12 December 2003). "General characteristics and design considerations for temporal subband video coding". ITU-T. Video Coding Experts Group. Retrieved 13 September 2019.

izmiran.ru

matlab.izmiran.ru

Matlab Toolbox – URL: http://matlab.izmiran.ru/help/toolbox/wavelet/ch06_a32.html

maynoothuniversity.ie

mural.maynoothuniversity.ie

Agarwal, Ankit; Maheswaran, Rathinasamy; Marwan, Norbert; Caesar, Levke; Kurths, Jürgen (November 2018). "Wavelet-based multiscale similarity measure for complex networks" (PDF). The European Physical Journal B. 91 (11): 296. Bibcode:2018EPJB...91..296A. doi:10.1140/epjb/e2018-90460-6. eISSN 1434-6036. ISSN 1434-6028. S2CID 125557123.

nih.gov

pubmed.ncbi.nlm.nih.gov

Lindeberg, T. (23 January 2023). "A time-causal and time-recursive scale-covariant scale-space representation of temporal signals and past time". Biological Cybernetics. 117 (1–2): 21–59. doi:10.1007/s00422-022-00953-6. PMC 10160219. PMID 36689001.
Unser, M.; Blu, T. (2003). "Mathematical properties of the JPEG2000 wavelet filters" (PDF). IEEE Transactions on Image Processing. 12 (9): 1080–1090. Bibcode:2003ITIP...12.1080U. doi:10.1109/TIP.2003.812329. PMID 18237979. S2CID 2765169. Archived from the original (PDF) on 2019-10-13.
Wotherspoon, T.; et., al. (2009). "Adaptation to the edge of chaos with random-wavelet feedback". J. Phys. Chem. 113 (1): 19–22. Bibcode:2009JPCA..113...19W. doi:10.1021/jp804420g. PMID 19072712.
Agarwal, Ankit; Caesar, Levke; Marwan, Norbert; Maheswaran, Rathinasamy; Merz, Bruno; Kurths, Jürgen (19 June 2019). "Network-based identification and characterization of teleconnections on different scales". Scientific Reports. 9 (1): 8808. Bibcode:2019NatSR...9.8808A. doi:10.1038/s41598-019-45423-5. eISSN 2045-2322. PMC 6584743. PMID 31217490.

ncbi.nlm.nih.gov

Lindeberg, T. (23 January 2023). "A time-causal and time-recursive scale-covariant scale-space representation of temporal signals and past time". Biological Cybernetics. 117 (1–2): 21–59. doi:10.1007/s00422-022-00953-6. PMC 10160219. PMID 36689001.
Agarwal, Ankit; Caesar, Levke; Marwan, Norbert; Maheswaran, Rathinasamy; Merz, Bruno; Kurths, Jürgen (19 June 2019). "Network-based identification and characterization of teleconnections on different scales". Scientific Reports. 9 (1): 8808. Bibcode:2019NatSR...9.8808A. doi:10.1038/s41598-019-45423-5. eISSN 2045-2322. PMC 6584743. PMID 31217490.

njit.edu

web.njit.edu

A.N. Akansu, W.A. Serdijn and I.W. Selesnick, Emerging applications of wavelets: A review, Physical Communication, Elsevier, vol. 3, issue 1, pp. 1-18, March 2010.

polyvalens.com

"A Really Friendly Guide To Wavelets – PolyValens". www.polyvalens.com.

rafiee.us

J. Rafiee et al. Female sexual responses using signal processing techniques, The Journal of Sexual Medicine 6 (2009) 3086–96. (pdf)

sciencedirect.com

Dong, Liang; Zhang, Shaohua; Gan, Tiansiyu; Qiu, Yan; Song, Qinfeng; Zhao, Yongtao (2023-12-01). "Frequency characteristics analysis of pipe-to-soil potential under metro stray current interference using continuous wavelet transform method". Construction and Building Materials. 407: 133453. doi:10.1016/j.conbuildmat.2023.133453. ISSN 0950-0618. S2CID 263317973.

semanticscholar.org

api.semanticscholar.org

Haines, VG. V.; Jones, Alan G. (1988). "Logarithmic Fourier Transform" (PDF). Geophysical Journal (92): 171–178. doi:10.1111/j.1365-246X.1988.tb01131.x. S2CID 9720759.
Gall, Didier Le; Tabatabai, Ali J. (1988). "Sub-band coding of digital images using symmetric short kernel filters and arithmetic coding techniques". ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing. pp. 761–764 vol.2. doi:10.1109/ICASSP.1988.196696. S2CID 109186495.
Unser, M.; Blu, T. (2003). "Mathematical properties of the JPEG2000 wavelet filters" (PDF). IEEE Transactions on Image Processing. 12 (9): 1080–1090. Bibcode:2003ITIP...12.1080U. doi:10.1109/TIP.2003.812329. PMID 18237979. S2CID 2765169. Archived from the original (PDF) on 2019-10-13.
Shi, J.; Zhang, N.-T.; Liu, X.-P. (2011). "A novel fractional wavelet transform and its applications". Sci. China Inf. Sci. 55 (6): 1270–1279. doi:10.1007/s11432-011-4320-x. S2CID 255201598.
Dong, Liang; Zhang, Shaohua; Gan, Tiansiyu; Qiu, Yan; Song, Qinfeng; Zhao, Yongtao (2023-12-01). "Frequency characteristics analysis of pipe-to-soil potential under metro stray current interference using continuous wavelet transform method". Construction and Building Materials. 407: 133453. doi:10.1016/j.conbuildmat.2023.133453. ISSN 0950-0618. S2CID 263317973.
Stefano Galli; O. Logvinov (July 2008). "Recent Developments in the Standardization of Power Line Communications within the IEEE". IEEE Communications Magazine. 46 (7): 64–71. doi:10.1109/MCOM.2008.4557044. S2CID 2650873. An overview of P1901 PHY/MAC proposal.
Abbott, Benjamin P.; et al. (LIGO Scientific Collaboration and Virgo Collaboration) (2016). "Observing gravitational-wave transient GW150914 with minimal assumptions". Phys. Rev. D. 93 (12): 122004. arXiv:1602.03843. Bibcode:2016PhRvD..93l2004A. doi:10.1103/PhysRevD.93.122004. S2CID 119313566.
Agarwal, Ankit; Maheswaran, Rathinasamy; Marwan, Norbert; Caesar, Levke; Kurths, Jürgen (November 2018). "Wavelet-based multiscale similarity measure for complex networks" (PDF). The European Physical Journal B. 91 (11): 296. Bibcode:2018EPJB...91..296A. doi:10.1140/epjb/e2018-90460-6. eISSN 1434-6036. ISSN 1434-6028. S2CID 125557123.
Agarwal, Ankit; Marwan, Norbert; Rathinasamy, Maheswaran; Merz, Bruno; Kurths, Jürgen (13 October 2017). "Multi-scale event synchronization analysis for unravelling climate processes: a wavelet-based approach". Nonlinear Processes in Geophysics. 24 (4): 599–611. Bibcode:2017NPGeo..24..599A. doi:10.5194/npg-24-599-2017. eISSN 1607-7946. S2CID 28114574.

pdfs.semanticscholar.org

Unser, M.; Blu, T. (2003). "Mathematical properties of the JPEG2000 wavelet filters" (PDF). IEEE Transactions on Image Processing. 12 (9): 1080–1090. Bibcode:2003ITIP...12.1080U. doi:10.1109/TIP.2003.812329. PMID 18237979. S2CID 2765169. Archived from the original (PDF) on 2019-10-13.

web.archive.org

Unser, M.; Blu, T. (2003). "Mathematical properties of the JPEG2000 wavelet filters" (PDF). IEEE Transactions on Image Processing. 12 (9): 1080–1090. Bibcode:2003ITIP...12.1080U. doi:10.1109/TIP.2003.812329. PMID 18237979. S2CID 2765169. Archived from the original (PDF) on 2019-10-13.

wolfram.com

scienceworld.wolfram.com

Weisstein, Eric W. "Zweig, George -- from Eric Weisstein's World of Scientific Biography". scienceworld.wolfram.com. Retrieved 2021-10-20.

worldcat.org

search.worldcat.org

Said, Amir; Pearlman, William A. (June 1996). "A new fast and efficient image codec based on set partitioning in hierarchical trees". IEEE Transactions on Circuits and Systems for Video Technology. 6 (3): 243–250. doi:10.1109/76.499834. ISSN 1051-8215.
Lyakhov, Pavel; Semyonova, Nataliya; Nagornov, Nikolay; Bergerman, Maxim; Abdulsalyamova, Albina (2023-11-14). "High-Speed Wavelet Image Processing Using the Winograd Method with Downsampling". Mathematics. 11 (22): 4644. doi:10.3390/math11224644. ISSN 2227-7390. Wavelets are actively used to solve a wide range of image processing problems in various fields of science and technology, e.g., image denoising, reconstruction, analysis, and video analysis and processing. Wavelet processing methods are based on the discrete wavelet transform using 1D digital filtering.
Dong, Liang; Zhang, Shaohua; Gan, Tiansiyu; Qiu, Yan; Song, Qinfeng; Zhao, Yongtao (2023-12-01). "Frequency characteristics analysis of pipe-to-soil potential under metro stray current interference using continuous wavelet transform method". Construction and Building Materials. 407: 133453. doi:10.1016/j.conbuildmat.2023.133453. ISSN 0950-0618. S2CID 263317973.
Agarwal, Ankit; Maheswaran, Rathinasamy; Marwan, Norbert; Caesar, Levke; Kurths, Jürgen (November 2018). "Wavelet-based multiscale similarity measure for complex networks" (PDF). The European Physical Journal B. 91 (11): 296. Bibcode:2018EPJB...91..296A. doi:10.1140/epjb/e2018-90460-6. eISSN 1434-6036. ISSN 1434-6028. S2CID 125557123.
Agarwal, Ankit; Marwan, Norbert; Rathinasamy, Maheswaran; Merz, Bruno; Kurths, Jürgen (13 October 2017). "Multi-scale event synchronization analysis for unravelling climate processes: a wavelet-based approach". Nonlinear Processes in Geophysics. 24 (4): 599–611. Bibcode:2017NPGeo..24..599A. doi:10.5194/npg-24-599-2017. eISSN 1607-7946. S2CID 28114574.
Agarwal, Ankit; Caesar, Levke; Marwan, Norbert; Maheswaran, Rathinasamy; Merz, Bruno; Kurths, Jürgen (19 June 2019). "Network-based identification and characterization of teleconnections on different scales". Scientific Reports. 9 (1): 8808. Bibcode:2019NatSR...9.8808A. doi:10.1038/s41598-019-45423-5. eISSN 2045-2322. PMC 6584743. PMID 31217490.