|3/2011 - 9|
Alleviating Border Effects in Wavelet Transforms for Nonlinear Time-varying Signal AnalysisSU, H. , LIU, Q. , LI, J.
|Click to see author's profile on SCOPUS, IEEE Xplore, Web of Science|
|Download PDF (1,649 KB) | Citation | Downloads: 832 | Views: 2,965|
convolution, Fourier series, frequency estimation, spectrogram, wavelet transforms
wavelet(14), signal(13), processing(10), transform(7), filter(6), signals(5), banks(5), wavelets(4), time(4), symmetric(4)
Blue keywords are present in both the references section and the paper title.
About this article
Date of Publication: 2011-08-31
Volume 11, Issue 3, Year 2011, On page(s): 55 - 60
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2011.03009
Web of Science Accession Number: 000296186700009
SCOPUS ID: 80055067358
Border effects are very common in many finite signals analysis and processing approaches using convolution operation. Alleviating the border effects that can occur in the processing of finite-length signals using wavelet transform is considered in this paper. Traditional methods for alleviating the border effects are suitable to compression or coding applications. We propose an algorithm based on Fourier series which is proved to be appropriate to the application of time-frequency analysis of nonlinear signals. Fourier series extension method preserves the time-varying characteristics of the signals. A modified signal duration expression for measuring the extent of border effects region is presented. The proposed algorithm is confirmed to be efficient to alleviate the border effects in comparison to the current methods through the numerical examples.
|References|||||Cited By «-- Click to see who has cited this paper|
| B. C. B. Chan, F. H. Y. Chan, F. K. Lam, P. W. Lui and P. W. F. Poon, "Fast detection of venous air embolism is Doppler heart sound using the wavelet transform," IEEE Trans. Biomed. Eng., vol. 44, pp. 237-245, Apr. 1997. |
[CrossRef] [Web of Science Times Cited 29] [SCOPUS Times Cited 35]
 N. Ghaffarzadeh and B. Vahidi, "A New protection scheme for high impedance fault detection using wavelet packet transform," Advances in Electrical and Computer Engineering, vol. 10, pp. 17-20, Mar. 2010.
[CrossRef] [Full Text] [Web of Science Times Cited 5] [SCOPUS Times Cited 11]
 A. Jardine, D. Lin and D. Banjevic, "A review on machinery diagnostics and prognostics implementing condition-based maintenance," Mech. Syst. Signal Process, vol. 20, pp. 1483-1510, Oct. 2006.
[CrossRef] [Web of Science Times Cited 1162] [SCOPUS Times Cited 1653]
 I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.
 J. R. Williams and K. Amaratunga, "A discrete wavelet transform without edge effects using wavelet extrapolation," J. Fourier Anal. Appl., vol. 3, pp. 435-449, 1997.
[CrossRef] [Web of Science Times Cited 41]
 P. S. Addison, The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance. Bristol, U.K.: IOP Publishing Ltd, 2002.
 A. Cohen, I. Daubechies, and P. Vial, "Wavelets on the interval and fast wavelet transforms," Applied Comput. Harmon. Anal., vol. 1, pp. 54-81, Jan. 1993.
[CrossRef] [SCOPUS Times Cited 610]
 C. M. Brislawn, "Classification of nonexpansive symmetric extension transform for multirate filter banks," Appl. Comput. Harmon. Anal., vol. 3, pp. 337-357, Oct. 1996.
[CrossRef] [Web of Science Times Cited 57] [SCOPUS Times Cited 69]
 V. Silva and L. de Sá, "General method for perfect reconstruction subband processing of finite length signals using linear extensions," IEEE Trans. Signal Processing, vol. 47, pp. 2572-2575, Sep. 1999.
[CrossRef] [Web of Science Times Cited 8] [SCOPUS Times Cited 13]
 G. Karlsson and M. Vetterli, "Extension of finite length signals for sub-band coding," Signal Processing, vol. 17, pp. 161-168, Jun. 1989.
[CrossRef] [Web of Science Times Cited 63] [SCOPUS Times Cited 78]
 L. Chen, T. Q. Nguyen and K.-P. Chan, "Symmetric extension methods for M-channel linear-phase perfect-reconstruction filter banks," IEEE Trans. Signal Process, vol. 43, pp. 2505-2511, Nov. 1995.
[CrossRef] [SCOPUS Times Cited 25]
 M. Ferretti and D. Rizzo, "Handling Borders in Systolic Architectures for the 1-D Discrete Wavelet Transform for Perfect Reconstruction," IEEE Trans. Signal Processing, vol. 48, pp. 1365-1378, May 2000.
[CrossRef] [Web of Science Times Cited 13] [SCOPUS Times Cited 23]
 C. Taswell and K. C. McGill, "Wavelet transform algorithms for finite-duration discrete-time signals," ACM Trans. Math. Software, vol. 20, pp. 398-412, Mar. 1994.
[CrossRef] [Web of Science Times Cited 32] [SCOPUS Times Cited 40]
 M. D. Jiménez and N. Prelcic, "Linear boundary extensions for finite length signals and paraunitary two-channel filterbanks," IEEE Trans. Signal Process, vol. 52, pp. 3213-3226, Nov. 2004.
[CrossRef] [Web of Science Times Cited 8] [SCOPUS Times Cited 11]
 G. Strang and T. Q. Nguyen, Wavelets and Filterbanks. Wellesley, MA: Wellesley-Cambridge, 1996.
 S. Mallat, A Wavelet Tour of Signal Processing, 3rd ed. New York: Academic, 2008.
 J. Liang and T. Parks, "Image coding using translation invariant wavelet transforms with symmetric extensions," IEEE Trans. Image Processing, vol. 7, pp. 762-769, May 1998.
[CrossRef] [Web of Science Times Cited 13] [SCOPUS Times Cited 10]
 J. Lin and M. J. T. Smith, "New perspectives and improvements on the symmetric extension filter bank for subband /wavelet image compression," IEEE Trans. Image Processing, vol. 17, pp. 177-180, Feb. 2008.
[CrossRef] [Web of Science Times Cited 11] [SCOPUS Times Cited 19]
 U. Sezen, "Perfect reconstruction IIR digital filter banks supporting nonexpansive linear signal extensions," IEEE Trans. Signal Processing, vol. 57, pp. 2140-2150, Jun. 2009.
[CrossRef] [Web of Science Times Cited 1] [SCOPUS Times Cited 3]
 A. Mertins, Signal Analysis: Wavelet, Filter Banks, Time-Frequency Transforms and Applications. Chichester, U.K.: Wiley, 1999.
 J. N. Bradley, C. M. Brislawn, and V. Faber, "Reflected boundary conditions for multirate filter banks," in Proc. IEEE Int. Symp. Time-Frequency and Time-Scale Analysis, Victoria, BC, Canada, Oct. 1992, pp. 307-310.
 S. J. Huang and C. T. Hsieh, "Application of Morlet wavelets to supervise power system disturbances," IEEE Trans. Power Delivery, vol. 14, pp. 235-243, Jan. 1999.
[CrossRef] [Web of Science Times Cited 75] [SCOPUS Times Cited 160]
 S. S. Osofsky, "Calculation of transient sinusoidal signal amplitudes using the Morlet wavelet," IEEE Trans. Signal Processing, vol. 47, pp. 3426-3428, Dec. 1999.
[CrossRef] [Web of Science Times Cited 8] [SCOPUS Times Cited 11]
 R. A. Carmona, W. L. Hwang, and B. Torresani, "Characterization of signals by the ridge of their wavelet ridge," IEEE Trans. Signal Processing, vol. 45, pp. 2586-2590, Oct. 1997.
[CrossRef] [Web of Science Times Cited 156] [SCOPUS Times Cited 199]
 D. Gabor, "Theory of communication," J. IEE, vol. 93, pp. 429-457, Nov. 1946.
Web of Science® Citations for all references: 1,682 TCR
SCOPUS® Citations for all references: 2,970 TCR
Web of Science® Average Citations per reference: 67 ACR
SCOPUS® Average Citations per reference: 119 ACR
TCR = Total Citations for References / ACR = Average Citations per Reference
We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more
Citations for references updated on 2017-08-15 06:18 in 133 seconds.
Note1: Web of Science® is a registered trademark of Thomson Reuters.
Note2: SCOPUS® is a registered trademark of Elsevier B.V.
Disclaimer: All queries to the respective databases were made by using the DOI record of every reference (where available). Due to technical problems beyond our control, the information is not always accurate. Please use the CrossRef link to visit the respective publisher site.
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.