A New Variable-Band Filter Design Method for the Discrete Wavelet Transform

In this study, in order to verify the effectiveness of the variable filter band discrete wavelet transform (VFB-DWT) and construction method of the variable-band filter (VBF), a fetal ECG extraction has been carried out and the main results obtained are as follows. The approach to configuration VBF by selecting the frequency band only where the fetal ECG component is present was effective to configure the optimal base sensible signal. The extraction of the fetal ECG was successful by applying the wavelet shrinkage to VFB-DWT, which used the constructed VBF. The information entropy was selected as an evaluation index, and two kinds of ECG signals are used to evaluate the wavelet transform basis between the wavelet packet transform (WPT) and the VFB-DWT. One is a synthesized signal composed of white noise, the maternal ECG and the fetal ECG. The other signal is the real target signal separated by independent component analysis (ICA) and has the mother's body noise, the maternal ECG and the fetal ECG. The result shows that the basis by VBF of the VFB-DWT is better than the basis of the WPT that was chosen by the best basis algorithm (BBA).

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Nonsubsampled higher-density discrete wavelet transform: Filter design and application in image contrast enhancement

2009 16th IEEE International Conference on Image Processing (ICIP) ◽

10.1109/icip.2009.5414406 ◽

2009 ◽

Cited By ~ 1

Author(s):

Arash Vosoughi ◽

Mohammad B. Shamsollahi ◽

Azadeh Vosoughi

Keyword(s):

Wavelet Transform ◽

Discrete Wavelet Transform ◽

Contrast Enhancement ◽

Filter Design ◽

Image Contrast ◽

Discrete Wavelet ◽

Image Contrast Enhancement ◽

Design And Application

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Efficient VLSI architectures of lifting-based discrete wavelet transform by systematic design method

2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353) ◽

10.1109/iscas.2002.1010766 ◽

2003 ◽

Cited By ~ 21

Author(s):

Chao-Tsung Huang ◽

Po-Chih Tseng ◽

Liang-Gee Chen

Keyword(s):

Wavelet Transform ◽

Discrete Wavelet Transform ◽

Design Method ◽

Discrete Wavelet ◽

Systematic Design ◽

Vlsi Architectures

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HIGHER-DENSITY DUAL TREE DISCRETE WAVELET TRANSFORM

International Journal of Wavelets Multiresolution and Information Processing ◽

10.1142/s0219691307002063 ◽

2007 ◽

Vol 05 (05) ◽

pp. 815-841 ◽

Cited By ~ 7

Author(s):

LIZHONG PENG ◽

WEITAO YUAN

Keyword(s):

Wavelet Transform ◽

Discrete Wavelet Transform ◽

Filter Design ◽

Common Factor ◽

Tight Frame ◽

Discrete Wavelet ◽

Sufficient Condition ◽

Linear Phase ◽

Factor Method ◽

The Common

This paper introduces the higher-density dual-tree (HDDT) discrete wavelet transform (DWT). A new MRA is introduced to describe higher-density DWT and used to obtain the sufficient condition for the HDDT Hilbert transform pair. In designing HDDT filters we use the extended common-factor method which not only includes the common-factor method but also provides exact linear phase bi-frame filters. Both HDDT tight frame and bi-frame (anti)symmetric filter design methods are given. At last, the results of denoising experiments by our newly designed HDDT filters in this paper prove the effectiveness of higher-density dual-tree DWT in the application of image processing.

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