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Description
  • The paper presents a detailed analysis of algorithms used for the forward and the inverse discrete wavelet transform (DWT) of finite-length signals. The paper provides answers to questions such as %22how many wavelet coefficients are computed from the signal at a given depth of the decomposition%22 or conversely, %22how many signal samples are needed to compute a single wavelet coefficient at a given depth of the decomposition%22 or %22how many coefficients at a given depth are influenced by the selected type of boundary treatment%22 or %22how many samples of the input signal simultaneously influence two neighboring wavelet coefficients at a given depth of the decomposition%22. As a byproduct, the rigorous analysis of the algorithms gives details needed for the implementation. The paper is accompanied by several Matlab functions.
  • The paper presents a detailed analysis of algorithms used for the forward and the inverse discrete wavelet transform (DWT) of finite-length signals. The paper provides answers to questions such as %22how many wavelet coefficients are computed from the signal at a given depth of the decomposition%22 or conversely, %22how many signal samples are needed to compute a single wavelet coefficient at a given depth of the decomposition%22 or %22how many coefficients at a given depth are influenced by the selected type of boundary treatment%22 or %22how many samples of the input signal simultaneously influence two neighboring wavelet coefficients at a given depth of the decomposition%22. As a byproduct, the rigorous analysis of the algorithms gives details needed for the implementation. The paper is accompanied by several Matlab functions. (en)
Title
  • Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm
  • Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm (en)
skos:prefLabel
  • Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm
  • Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm (en)
skos:notation
  • RIV/00216305:26220/14:PU106175!RIV15-MSM-26220___
http://linked.open...avai/riv/aktivita
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  • P(ED2.1.00/03.0072), S
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
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  • 11698
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  • RIV/00216305:26220/14:PU106175
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  • DTWT, wavelet transform, analysis, study, algorithm, details, computation of coefficients (en)
http://linked.open.../riv/klicoveSlovo
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  • SG - Singapurská republika
http://linked.open...ontrolniKodProRIV
  • [974945F470C3]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Wavelets Multiresolution and Information Processing
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  • 12
http://linked.open...iv/tvurceVysledku
  • Průša, Zdeněk
  • Rajmic, Pavel
http://linked.open...ain/vavai/riv/wos
  • 000328117000001
issn
  • 0219-6913
number of pages
http://bibframe.org/vocab/doi
  • 10.1142/S0219691314500015
http://localhost/t...ganizacniJednotka
  • 26220
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