A new discrete wavelet transform fast algorithm with rational dilation factor

2007 ◽  
Author(s):  
Hui-Guang Li ◽  
Chang-Ping Sun ◽  
Yang Li ◽  
Xiao-Li Li
Keyword(s):  
Wavelet Transform ◽  
Discrete Wavelet Transform ◽  
Fast Algorithm ◽  
Discrete Wavelet ◽  
Rational Dilation ◽  
Dilation Factor

A NEW DISCRETE WAVELET TRANSFORM FAST ALGORITHM WITH RATIONAL DILATION FACTOR

2008 ◽  
Vol 06 (04) ◽  
pp. 609-616 ◽  
Author(s):  
HUI-GUANG LI ◽  
YAN LI ◽  
CHANG-PIN SUN ◽  
XIAO-LI LI
Keyword(s):  
Wavelet Transform ◽  
Discrete Wavelet Transform ◽  
Fast Algorithm ◽  
High Frequency ◽  
Discrete Wavelet ◽  
Rational Dilation ◽  
Dilation Factor

While in the process of decomposition of the Mallat discrete wavelet transform (DWT) fast algorithm, the algorithm has a drawback, that is, there is frequency distortion in the high frequency subband. In this paper, a new algorithm of decomposition and reconstruction in the discrete wavelet is presented. The algorithm can solve the frequency distortion in the high frequency subband in the process of decimation in each level. The simulation of numerical value example tests the validity of the algorithm.

Improving Space Localization Properties of the Discrete Wavelet Transform

Informatica ◽  
2013 ◽  
Vol 24 (4) ◽  
pp. 657-675
Author(s):  
Jonas Valantinas ◽  
Deividas Kančelkis ◽  
Rokas Valantinas ◽  
Gintarė Viščiūtė
Keyword(s):  
Wavelet Transform ◽  
Discrete Wavelet Transform ◽  
Discrete Wavelet ◽  
Space Localization
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