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This section proposes two methods for approximating the noise
covariance operator
when coherent noise is present
in the data. But first, let us define
as the sum of signal
and coherent noise
as follows:
| ![\begin{displaymath}
{\bf d} ={\bf s}+{\bf n},\end{displaymath}](img65.gif) |
(18) |
where n is made of the inconsistent part (or modeling
uncertainties part) of the data d for any given operator
L. The goal of this Chapter is to estimate earth parameters
that are not biased by the noise present in the data.