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Proceedings Paper

Regularized wavelets for processing nonstationary signals with a correlated noise
Author(s): S. S. Kharintsev; A. A. Sevast'yanov; Myakzyum Kh. Salakhov
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Paper Abstract

This paper describes regularized wavelets and numerical algorithms for a regularized wavelet-analysis based on the Bayes strategy. This program includes the investigation of a possibility for finding a basis in terms of a multiresolution analysis under condition that a scaling function would satisfy the properties of a regularization operator and an orthonormal basis simultaneously. Examples of application of the regularized wavelets in the differentiation of composite simulated spectra with a fractal noise are considered.

Paper Details

Date Published: 15 November 2001
PDF: 9 pages
Proc. SPIE 4605, PECS 2001: Photon Echo and Coherent Spectroscopy, (15 November 2001); doi: 10.1117/12.447940
Show Author Affiliations
S. S. Kharintsev, Kazan State Univ. (Russia)
A. A. Sevast'yanov, Kazan State Univ. (Russia)
Myakzyum Kh. Salakhov, Kazan State Univ. (Russia)

Published in SPIE Proceedings Vol. 4605:
PECS 2001: Photon Echo and Coherent Spectroscopy
Vitaly V. Samartsev, Editor(s)

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