Detail publikace

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

RAJMIC, P. PRŮŠA, Z.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

DTWT; wavelet transform; analysis; study; algorithm; details; computation of coefficients

Autoři

RAJMIC, P.; PRŮŠA, Z.

Rok RIV

2014

Vydáno

1. 1. 2014

Nakladatel

World Scientific Publishing Company

ISSN

0219-6913

Periodikum

International Journal of Wavelets Multiresolution and Information Processing

Ročník

12

Číslo

1

Stát

Singapurská republika

Strany od

1450001-1

Strany do

1450001-38

Strany počet

38

URL