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Process / pipelineTranslation-invariant wavelet decomposition

MODWT

Den maksimale overlap diskrete wavelettransformation (MODWT) er en translationsinvariant waveletdekomponeringsmetode, der adresserer en central begrænsning ved standard DWT: manglende skiftinvarians. Introduceret af Percival og Walden (1995), anvender MODWT de samme waveletfiltre på hver skala uden nedsampling, hvilket resulterer i en udecimeret dekomponering. Hvert detalje- og approksimationskoefficientarray bevarer den fulde længde af inputsignalet, hvilket muliggør både robust multiskalaanalyse og translationsinvariant feature-ekstraktion.

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Kilder

  1. Percival, D. B., & Walden, A. T. (1995). Wavelet Methods for Time Series Analysis. Cambridge University Press. link
  2. Percival, D. B. (2000). Wavelet methods for time series analysis. Cambridge University Press. link
  3. Whitcher, B., Guttorp, P., & Percival, D. B. (2000). Wavelet analysis of covariance with application to atmospheric time series. Journal of Geophysical Research, 105(D11), 14941–14962. DOI: 10.1029/2000JD900110

Sådan citerer du denne side

ScholarGate. (2026, June 3). Maximal Overlap Discrete Wavelet Transform. ScholarGate. https://scholargate.app/da/time-series/modwt

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ScholarGateMODWT (Maximal Overlap Discrete Wavelet Transform). Hentet 2026-06-15 fra https://scholargate.app/da/time-series/modwt · Datasæt: https://doi.org/10.5281/zenodo.20539026