Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

<a href="/cs/project/ED2.1.00%2F03.0072" target="_blank" >ED2.1.00/03.0072: Centrum senzorických, informačních a komunikačních systémů (SIX)</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Wavelets Multiresolution and Information Processing

ISSN

0219-6913

e-ISSN

1793-690X

Svazek periodika

12

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

38

Strana od-do

„1450001-1“-„1450001-38“

Kód UT WoS článku

000328117000001

EID výsledku v databázi Scopus

2-s2.0-84889680190