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15 November 2001 Regularized wavelets for processing nonstationary signals with a correlated noise
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Proceedings Volume 4605, PECS 2001: Photon Echo and Coherent Spectroscopy; (2001) https://doi.org/10.1117/12.447940
Event: PECS'2001: Photon Echo and Coherent Spectroscopy, 2001, Novgorod, Russian Federation
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.
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
S. S. Kharintsev, A. A. Sevast'yanov, and Myakzyum Kh. Salakhov "Regularized wavelets for processing nonstationary signals with a correlated noise", Proc. SPIE 4605, PECS 2001: Photon Echo and Coherent Spectroscopy, (15 November 2001); https://doi.org/10.1117/12.447940
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