Regularized wavelets for processing nonstationary signals with a correlated noise

S. S. Kharintsev; A. A. Sevast'yanov; Myakzyum Kh. Salakhov

doi:10.1117/12.447940

15 November 2001 Regularized wavelets for processing nonstationary signals with a correlated noise

S. S. Kharintsev, A. A. Sevast'yanov, Myakzyum Kh. Salakhov

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.

Citation Download Citation

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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