NDLI: Improving Translation Invariance by Complex Wavelet using Phase Information

Content Provider	IEEE Xplore Digital Library
Author	Zhong Zhang Toda, H. Miyake, T. Imamura, T.
Copyright Year	2006
Description	Author affiliation: Dept. of Production Syst. Eng., Toyohashi Univ. of Technol., Aichi (Zhong Zhang)
Abstract	In this study, we examine the necessity for the complex discrete wavelet transform (CDWT) from the viewpoint that the signal's position shifting corresponds to the signal's phase change and discuss the effectiveness of the improved shift invariability of the CDWT based on linear translation invariant system theory. The results are: 1) the DWT is sensitive to the signal's shift (the phase change) and correspondingly the wavelet coefficients change sharply as the signal shifts. On the other hand, the CDWT is insensitive to the signal's phase change and the obtained wavelet coefficients are stable. 2) The output obtained by the CDWT is unique to the input signal having an arbitrary shift. That is, the CDWT system is not dependent on the position of the input signal and can be considered a linear translation invariant system
Starting Page	3285
Ending Page	3289
File Size	5014628
Page Count	5
File Format	PDF
ISBN	8995003847
DOI	10.1109/SICE.2006.314922
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-10-18
Publisher Place	South Korea
Access Restriction	Subscribed
Rights Holder	The Institute of Control, Automation and Systems
Subject Keyword	Discrete wavelet transforms Multiresolution analysis Wavelet coefficients Spline Wavelet transforms Frequency Algorithm design and analysis Continuous wavelet transforms Filters Production systems Linear System Wavelet Transform Shift Invariance Complex Wavelet
Content Type	Text
Resource Type	Article

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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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