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Stefan cel Mare
University of Suceava
Faculty of Electrical Engineering and
Computer Science
13, Universitatii Street
Suceava - 720229
ROMANIA

Print ISSN: 1582-7445
Online ISSN: 1844-7600
WorldCat: 643243560
doi: 10.4316/AECE


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  3/2011 - 9

 HIGH-IMPACT PAPER 

Alleviating Border Effects in Wavelet Transforms for Nonlinear Time-varying Signal Analysis

SU, H. See more information about SU, H. on SCOPUS See more information about SU, H. on IEEExplore See more information about SU, H. on Web of Science, LIU, Q. See more information about  LIU, Q. on SCOPUS See more information about  LIU, Q. on SCOPUS See more information about LIU, Q. on Web of Science, LI, J. See more information about LI, J. on SCOPUS See more information about LI, J. on SCOPUS See more information about LI, J. on Web of Science
 
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Download PDF pdficon (1,649 KB) | Citation | Downloads: 1,377 | Views: 6,031

Author keywords
convolution, Fourier series, frequency estimation, spectrogram, wavelet transforms

References keywords
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

Abstract
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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.


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Cited-By CrossRef

[1] Wavelet-Aided Analysis to Estimate Seasonal Variability and Dominant Periodicities in Temperature, Precipitation, and Streamflow in the Midwestern United States, Pathak, Pratik, Kalra, Ajay, Ahmad, Sajjad, Bernardez, Miguel, Water Resources Management, ISSN 0920-4741, Issue 13, Volume 30, 2016.
Digital Object Identifier: 10.1007/s11269-016-1445-0
[CrossRef]

[2] Using wavelet transforms to estimate surface temperature trends and dominant periodicities in Iran based on gridded reanalysis data, Araghi, A., Mousavi Baygi, M., Adamowski, J., Malard, J., Nalley, D., Hasheminia, S.M., Atmospheric Research, ISSN 0169-8095, Issue , 2015.
Digital Object Identifier: 10.1016/j.atmosres.2014.11.016
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[3] Trend detection in surface air temperature in Ontario and Quebec, Canada during 1967–2006 using the discrete wavelet transform, Nalley, D., Adamowski, J., Khalil, B., Ozga-Zielinski, B., Atmospheric Research, ISSN 0169-8095, Issue , 2013.
Digital Object Identifier: 10.1016/j.atmosres.2013.06.011
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[4] Analysis of trends and dominant periodicities in drought variables in India: A wavelet transform based approach, Joshi, Nitin, Gupta, Divya, Suryavanshi, Shakti, Adamowski, Jan, Madramootoo, Chandra A., Atmospheric Research, ISSN 0169-8095, Issue , 2016.
Digital Object Identifier: 10.1016/j.atmosres.2016.07.030
[CrossRef]

[5] A multiscale time-space approach to analyze and categorize the precipitation fluctuation based on the wavelet transform and information theory concept, Roushangar, Kiyoumars, Nourani, Vahid, Alizadeh, Farhad, Hydrology Research, ISSN 0029-1277, Issue 3, Volume 49, 2018.
Digital Object Identifier: 10.2166/nh.2018.143
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[6] Hydroclimatic Trends and Streamflow Response to Recent Climate Change: An Application of Discrete Wavelet Transform and Hydrological Modeling in the Passaic River Basin, New Jersey, USA, Oteng Mensah, Felix, Alo, Clement Aga, Ophori, Duke, Hydrology, ISSN 2306-5338, Issue 4, Volume 11, 2024.
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[7] Investigating Trends in Streamflow and Precipitation in Huangfuchuan Basin with Wavelet Analysis and the Mann-Kendall Test, Chen, Yuzhuang, Guan, Yiqing, Shao, Guangwen, Zhang, Danrong, Water, ISSN 2073-4441, Issue 3, Volume 8, 2016.
Digital Object Identifier: 10.3390/w8030077
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[8] Identifying complexity of annual precipitation variation in Iran during 1960–2010 based on information theory and discrete wavelet transform, Roushangar, Kiyoumars, Alizadeh, Farhad, Stochastic Environmental Research and Risk Assessment, ISSN 1436-3240, Issue 5, Volume 32, 2018.
Digital Object Identifier: 10.1007/s00477-017-1430-z
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[9] A Probabilistic Wavelet–Support Vector Regression Model for Streamflow Forecasting with Rainfall and Climate Information Input*, Liu, Zhiyong, Zhou, Ping, Zhang, Yinqin, Journal of Hydrometeorology, ISSN 1525-755X, Issue 5, Volume 16, 2015.
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[10] Beat-to-beat P-wave morphology as a predictor of paroxysmal atrial fibrillation, Filos, Dimitrios, Chouvarda, Ioanna, Tachmatzidis, Dimitris, Vassilikos, Vassilios, Maglaveras, Nicos, Computer Methods and Programs in Biomedicine, ISSN 0169-2607, Issue , 2017.
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[11] A padding method to reduce edge effects for enhanced damage identification using wavelet analysis, Montanari, Lorenzo, Basu, Biswajit, Spagnoli, Andrea, Broderick, Brian M., Mechanical Systems and Signal Processing, ISSN 0888-3270, Issue , 2015.
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[12] A multiscale spatio-temporal framework to regionalize annual precipitation using k-means and self-organizing map technique, Roushangar, Kiyoumars, Alizadeh, Farhad, Journal of Mountain Science, ISSN 1672-6316, Issue 7, Volume 15, 2018.
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[13] Wavelet transform-based trend analysis of streamflow and precipitation in Upper Blue Nile River basin, Abebe, Sintayehu A., Qin, Tianling, Zhang, Xin, Yan, Denghua, Journal of Hydrology: Regional Studies, ISSN 2214-5818, Issue , 2022.
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[14] Periodicities in Drought Variables and Wavelet Transform Based Analysis of Trend over India, Dwivedi, Harish, Suryavanshi, Shakti, Keerti Chowdhary, Archana, SSRN Electronic Journal, ISSN 1556-5068, 2019.
Digital Object Identifier: 10.2139/ssrn.3353075
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[15] Linking SO2 emission rates and seismicity by continuous wavelet transform: implications for volcanic surveillance at San Cristóbal volcano, Nicaragua, Conde, Vladimir, Bredemeyer, Stefan, Saballos, J. Armando, Galle, Bo, Hansteen, Thor H., International Journal of Earth Sciences, ISSN 1437-3254, Issue 5, Volume 105, 2016.
Digital Object Identifier: 10.1007/s00531-015-1264-1
[CrossRef]

[16] Periodic Identification of Runoff in Hei River Based on Predictive Extension Method of Eliminating the Boundary Effect of the Wavelet Transform, Li, Yanbin, Zhu, Xinli, Journal of Hydrologic Engineering, ISSN 1084-0699, Issue 5, Volume 26, 2021.
Digital Object Identifier: 10.1061/(ASCE)HE.1943-5584.0002083
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[17] Using discrete wavelet transforms to analyze trends in streamflow and precipitation in Quebec and Ontario (1954–2008), Nalley, D., Adamowski, J., Khalil, B., Journal of Hydrology, ISSN 0022-1694, Issue , 2012.
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[18] A multiscale and multivariate analysis of precipitation and streamflow variability in relation to ENSO, NAO and PDO, Nalley, D., Adamowski, J., Biswas, A., Gharabaghi, B., Hu, W., Journal of Hydrology, ISSN 0022-1694, Issue , 2019.
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[19] Identification of transient overvoltage using discrete wavelet transform with minimised border distortion effect and support vector machine, Asman, Saidatul Habsah, Abidin, Ahmad Farid, Yusoh, Mohd Abdul Talib Mat, Subiyanto, Subiyanto, Results in Engineering, ISSN 2590-1230, Issue , 2022.
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[20] Drought-induced biomass burning as a source of black carbon to the central Himalaya since 1781 CE as reconstructed from the Dasuopu ice core, Barker, Joel D., Kaspari, Susan, Gabrielli, Paolo, Wegner, Anna, Beaudon, Emilie, Sierra-Hernández, M. Roxana, Thompson, Lonnie, Atmospheric Chemistry and Physics, ISSN 1680-7324, Issue 7, Volume 21, 2021.
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[21] Analysis of methods of non-invasive vibroacoustic diagnostics, Vladimirovich, Klychnikov Vladimir, Vladimirovich, Lapin Dmitriy, Hubbatulin, Mark Eduardovich, XLIV ACADEMIC SPACE CONFERENCE: dedicated to the memory of academician S.P. Korolev and other outstanding Russian scientists – Pioneers of space exploration, ISBN , Issue , 2021.
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