Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F14%3APU106175" target="_blank" >RIV/00216305:26220/14:PU106175 - isvavai.cz</a>
Result on the web
<a href="http://www.worldscientific.com/doi/abs/10.1142/S0219691314500015" target="_blank" >http://www.worldscientific.com/doi/abs/10.1142/S0219691314500015</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219691314500015" target="_blank" >10.1142/S0219691314500015</a>
Alternative languages
Result language
angličtina
Original language name
Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm
Original language 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 "how many wavelet coefficients are computed from the signal at a given depth of the decomposition" or conversely, "how many signal samples are needed to compute a single wavelet coefficient at a given depth of the decomposition" or "how many coefficients at a given depth are influenced by the selected type of boundary treatment" or "how many samples of the input signal simultaneously influence two neighboring wavelet coefficients at a given depth of the decomposition". As a byproduct, the rigorous analysis of the algorithms gives details needed for the implementation. The paper is accompanied by several Matlab functions.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20201 - Electrical and electronic engineering
Result continuities
Project
<a href="/en/project/ED2.1.00%2F03.0072" target="_blank" >ED2.1.00/03.0072: Centre of sensor, information and communication systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Wavelets Multiresolution and Information Processing
ISSN
0219-6913
e-ISSN
1793-690X
Volume of the periodical
12
Issue of the periodical within the volume
1
Country of publishing house
SG - SINGAPORE
Number of pages
38
Pages from-to
„1450001-1“-„1450001-38“
UT code for WoS article
000328117000001
EID of the result in the Scopus database
2-s2.0-84889680190