NDLI: A new concept for the distributions of wavelet packet decomposition coefficients in detail subbands

Content Provider	IEEE Xplore Digital Library
Author	Deming Kong Lijun Xu Xiaolu Li Xiangrui Tian
Copyright Year	2012
Description	Author affiliation: State Key Laboratory of Inertial Science and Technology, School of Instrument Science and Opto-electronic Engineering, Beihang University, Beijing, China (Deming Kong; Lijun Xu; Xiaolu Li; Xiangrui Tian)
Abstract	This paper presents a new concept that the distributions of wavelet packet decomposition (WPD) coefficients in the detail subbands are not always zero-mean. In general opinion, the detail coefficients of WPD, which contain high-frequency sharp transitions and noise components of the observed signal, are supposed to be distributed as zero-mean if the boundary effect is not considered. However, by the research of the application of WPD for the periodic signals, we find that the WPD coefficients in the detail subbands are a series of non-zero constants rather than distributed as zero-mean when the sampling frequency, the fundamental frequency of periodic signals and the decomposed level of WPD meet a constraint condition. In this paper, the constraint condition is discussed and presented. It can be concluded that the distributions of WPD coefficients in the detail subbands are regarded as zero-mean only when the constraint condition is dissatisfied. This new concept has been validated by using a harmonic signal and a piecewise smooth signal corrupted with harmonics and white noise. The research of the new concept makes the whole theory of WPD coefficients distribution more systematic, complete and scientific.
Starting Page	51
Ending Page	54
File Size	961971
Page Count	4
File Format	PDF
ISBN	9781467326155
e-ISBN	9781467326179
DOI	10.1109/ISICT.2012.6291642
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-11
Publisher Place	United Kingdom
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wavelet packet decomposition (WPD) Detail subbands Zero-mean distribution Detail coefficients Educational institutions Time frequency analysis Signal resolution Periodic signal
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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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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