Singularity Characterization by Monoscale Analysis: Application to Seismic Imaging

摘要: Abstract Seismological images represent maps of the Earth's structure. Apparent bandwidth limitation seismic data prevents successful estimation by multiscale wavelet transform Lipschitz/Holder regularity nonoscillating singularities. To overcome this fundamental problem, a new method is proposed which provides local estimates from information, essentially residing at only one single scale. Within method, exponents are no longer calculated decay or growth rate coefficients. Instead, obtained transforming with respect to family generalized “wavelets” fractional order. This defined in terms causal and anticausal, integro-differentiations fixed-scale, Gaussian smoothing function. Supplementing criteria that predict onset disappearance modulus maxima as function order, we provide exponent scale The estimated equivalent Holder when approaches zero.