@article{KuleshDialloHolschneider2005, author = {Kulesh, Michail A. and Diallo, Mamadou Sanou and Holschneider, Matthias}, title = {Wavelet analysis of ellipticity, dispersion, and dissipation properties of Rayleigh waves}, issn = {1063-7710}, year = {2005}, abstract = {This paper is devoted to the digital processing of multicomponent seismograms using wavelet analysis. The goal of this processing is to identify Rayleigh surface elastic waves and determine their properties. A new method for calculating the ellipticity parameters of a wave in the form of a time-frequency spectrum is proposed, which offers wide possibilities for filtering seismic signals in order to suppress or extract the Rayleigh components. A model of dispersion and dissipation of elliptic waves written in terms of wavelet spectra of complex (two-component) signals is also proposed. The model is used to formulate a nonlinear minimization problem that allows for a high-accuracy calculation of the group and phase velocities and the attenuation factor for a propagating elliptic Rayleigh wave. All methods considered in the paper are illustrated with the use of test signals. (c) 2005 Pleiades Publishing, Inc}, language = {en} }