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When inputs and outputs are given,
the problem of finding an unknown filter appears to be overdetermined,
so we write where the matrix is a matrix of downshifted columns like
().
Thus the quadratic form to be minimized
is a restatement of equation (34)
with filter definitions:
| |
(36) |

The solution is found just as we found
(35),
and it is the set of simultaneous equations
.

** Next:** Unknown input: deconvolution with
** Up:** From the frequency domain
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Stanford Exploration Project

4/27/2004