Seismic dip estimation based on the two-dimensional Hilbert transform and its application in random noise attenuation |

First, to characterize the FIR for signal differentiators, we transform the Leibniz series to power series (Lehmer, 1985)

We substitute sin for , and after rearrangement and truncation of the first terms, we obtain

and after manipulation

We ignore the higher order terms and we obtain the th-order causal transfer function of the derivative operator as

Seismic dip estimation based on the two-dimensional Hilbert transform and its application in random noise attenuation |

2015-05-07