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We want to solve the deconvolution problem:

*y* being the data, *x* the unknowns, *a* the convolution filter.
It can be written in the matricial form *A*.*x*=*y*, with:
| |
(9) |

I will consider two kinds of deconvolution:
- predictive deconvolution: (
*y*_{i}) = (*y*_{i-1}) * *f*, where *f* is
the unknown predictive filter;
- deconvolution by a known wavelet:
*y* = *w* * *r*, *w* being this
wavelet, *r* unknown ``reflection coefficients''.

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Stanford Exploration Project

1/13/1998