An approximation of the inverse Ricker wavelet as an initial guess for bidirectional deconvolution |
We can manipulate equation 6 and decompose it into two symmetric parts. First, we shift the Ricker wavelet to the center of the axes:
ricker,ricker-freq
Figure 1. The fourth-order finite approximation of the Ricker wavelet: (a) in the time domain; (b) in the frequency domain. |
---|
We call one of these symmetric parts a ``half-Ricker wavelet'':
We denote the inverse of the half-Ricker wavelet, which is our candidate as the initial guess for both filter
and filter
, as
and
in the time domain and
and
in the Z domain:
half-ricker,half-ricker-freq
Figure 2. The fourth-order half-Ricker wavelet: (a) in the time domain; (b) in the frequency domain. |
---|
An approximation of the inverse Ricker wavelet as an initial guess for bidirectional deconvolution |