Title
Non-Recursive Wavelet Transforms in l2(Zc+)
Abstract
Today, almost all of the implementations of the discrete wavelet transforms are based on the recursive way. However, non-recursive wavelet transforms (NRWT) are more effective and more flexible. We extend the NRWT theory in l^2 (Z) and propose a new NRWT theory based on 6 different downsampling modes in l^2 (Z_c^+ ). This extending makes NRWT more practical and can be compatible with the traditional recursive wavelet transform. We study the properties of the NRWT under the 6 downsampling modes, W_(-3≤k≤2), through the analysis of redundancy degree and point out that W_(-2) is optimal and the redundancy degrees of W_(-2) and W_0 are identical. The analysis of redundancy degree offers a method to choose the NRWT mode.
Year
DOI
Venue
2008
10.1109/PACIIA.2008.45
PACIIA (1)
Keywords
Field
DocType
discrete wavelet transform,wavelet transform
Lifting scheme,Computer science,Theoretical computer science,Artificial intelligence,Discrete wavelet transform,Wavelet packet decomposition,Wavelet,Wavelet transform,Pattern recognition,Algorithm,Second-generation wavelet transform,Cascade algorithm,Stationary wavelet transform
Conference
Volume
Citations 
PageRank 
1
0
0.34
References 
Authors
3
3
Name
Order
Citations
PageRank
Xiaoxin Li102.03
De-yu Qi26416.54
Zhengping Qian335017.04