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DISCRETE WAVELET TRANSFORM OF FINITE SIGNALS: DETAILED STUDY OF THE ALGORITHM.
- Source :
-
International Journal of Wavelets, Multiresolution & Information Processing . Jan2014, Vol. 12 Issue 1, p-1. 38p. - Publication Year :
- 2014
-
Abstract
- The paper presents a detailed analysis of algorithms used for the forward and the inverse discrete wavelet transform (DTWT) 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02196913
- Volume :
- 12
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Wavelets, Multiresolution & Information Processing
- Publication Type :
- Academic Journal
- Accession number :
- 92660772
- Full Text :
- https://doi.org/10.1142/S0219691314500015