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Alleviating Border Effects in Wavelet Transforms for Nonlinear Time-varying Signal AnalysisSU, H. , LIU, Q. , LI, J.
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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)
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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.
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