2-D Coherent Signal Processing: The Adaptive Slowness Approach

Abstract

In geophysics, the frequency-wave number (f–k) filter is a common tool which allows to distinguish between seismic phases through their apparent velocity. However, this filter is based on a two dimensional Fourier transform, so it is not well adapted to the non-stationary nature of 2-D signals present in geophysics, because of its lack of timespace resolution. In order to solve this limitation, we introduce a new tool called adaptive slowness filter, inspired by spatial averaging and Radon filters. Our procedure can attenuate undesired signals with a known slowness (inverse of velocity) and time-distance location, while mantaining the other signals with different location or slowness with minimal distortion