Point values hermite multiresolution for non-smooth noisy signals

Point values hermite multiresolution for non-smooth noisy signals

In this paper, a nonlinear interpolation is used in order to compute adaptively derivatives from the discrete information of any signal. Using these derivatives a multiresolution based on Hermite interpolation is performed for compressing the signal. The way in which the derivatives are approximated...

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Veröffentlicht in:Computing 2006-05, Vol.77 (3), p.223-236
Hauptverfasser: ALI, I, AMAT, S, TRILLO, J. C
Format: Artikel
Sprache:eng
Schlagworte:
Accuracy
Algorithms
Data compression
Exact sciences and technology
Fourier analysis
Interpolation
Mathematics
Noise
Nonlinear programming
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Sciences and techniques of general use
Signal processing
Studies
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Zusammenfassung:In this paper, a nonlinear interpolation is used in order to compute adaptively derivatives from the discrete information of any signal. Using these derivatives a multiresolution based on Hermite interpolation is performed for compressing the signal. The way in which the derivatives are approximated is crucial when noise or singularities appear. [PUBLICATION ABSTRACT]
ISSN:0010-485X
1436-5057
DOI:10.1007/s00607-005-0159-6