On one-dimensional signal decomposition by adaptive wavelets - a survey

• Autorzy: Piekarski K.
• Języki publikacji: EN

Abstrakty

EN

Different approaches to a one-dimensional signal representation problem are described. Particular attention is paid to adaptive wavelet decompositions. Such a kind of approximation takes into account local properties of a signal what enables a small error representation with only a few coefficients. This makes useful to apply adaptive wavelets for compression of certain class of signals, for instance biomedical (like ECG) signals.

Słowa kluczowe

EN

signal decomposition; global adaptive methods; lifting scheme; adaptive wavelets

PL

dekompozycja sygnału; falka adaptacyjna

• Wydawca: Instytut Telekomunikacji i Informatyki Uniwersytetu Technologiczno-Przyrodniczego w Bydgoszczy
• Czasopismo: Image Processing & Communications
• Rocznik: 2005
• Tom: Vol. 10, no 2
• Strony: 39--52
• Opis fizyczny: Bibliogr. 10 poz., wykr.

Twórcy

autor

Piekarski K.

• Technical University of Bialystok, Institute of Mathematics and Physics, Department of Mathematics, ul. Zwierzyniecka 14, Bialystok, Poland,

Bibliografia

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• [2] Coifman R.R., Wickerhauser M.V., "Entropy-based algorithms for best basis selection", IEEE Transactions on Information Theory, vol. 38(2), pp. 713-718, 1992.
• [3] Heijmans H.J.A.M., Pesquet Popescu B., Piella G., "Building nonredundant adaptive wavelets by update lifting", Applied and Computational Harmonic Analysis, vol. 18(3), pp. 252 281, 2005.
• [4] Mallat S.G., "A Wavelet Tour of Signal Processing", 1st Edition, Academic Press, San Diego CA, 1998.
• [5] Mallat S.G., "Matching Pursuits With Time-Frequency Dictionaries", IEEE Transactions on Signal Processing, vol. 41(12), pp. 3397-3415, 1993.
• [6] Piella G., Heijmans H.J.A.M., "Adaptive Lifting Schemes With Perfect Reconstruction", IEEE Transactions on Signal Processing, vol. 50(7), pp. 1620-1630, 2002.
• [7] Rakowski W., "Wavelet Packets in signal and image compression", Electronics and Telecomunications, vol. 50(2), pp. 159-178, 2004 (in Polish).
• [8] Sweldens W., "The Lifting Scheme: A New Philosophy in biorthogonal Wavelet Constructions". In: "Wavelet Applications in Signal and Image Processing III", Proceedings of SPIE, vol. 2569, pp. 68-79, 1995.
• [9] Sweldens W., "The Lifting Scheme: A Custom-Design Construction of Biorthogonal Wavelets", Applied and Computational Harmonic Analysis, vol. 3(2), pp. 186-200, 1996.
• [10] Sweldens W., "The Lifting Scheme: A Construction of Second Generation Wavelets". SIAM Journal on Mathematical Analysis, vol. 29(2), pp. 511-546, 1997.