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Instrument-Oriented Wavelets and Their Application to Processing of Experimental Data

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Abstract

Wavelets obtained by modifying well-known orthonormalized wavelets by the pulsed response of a linear stationary system can easily be fitted to particular instruments for which software for signal processing is developed. Expressions for synthesizing the coefficients of the scaling equation and the wavelet coefficients are obtained. Blocks of filters that realize fast computational algorithms are constructed. The use of the offered wavelets in the primary processing of the data from analytical instruments with consideration of their instrument functions allow the sensitivity and resolution to be increased by a factor of 3–4.

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Authors and Affiliations

  1. Institute for Analytical Instrumentation, Russian Academy of Sciences, Rizhsky pr. 26, St. Petersburg, 190103, Russia

    L. V. Novikov

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  1. L. V. Novikov
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Translated from Pribory i Tekhnika Eksperimenta, No. 6, 2005, pp. 13–20.

Original Russian Text Copyright © 2005 by Novikov.

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Novikov, L.V. Instrument-Oriented Wavelets and Their Application to Processing of Experimental Data. Instrum Exp Tech 48, 711–718 (2005). https://doi.org/10.1007/s10786-005-0128-5

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  • DOI: https://doi.org/10.1007/s10786-005-0128-5

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