ABSTRACT
Let the functions be eigenfunctions of K†K associated with the eigenvalues ?n
Also, let
Then
and
This is easy to show using equation (59).13
10.7.3 Eigenfunction solution We can solve equation (1) by expanding the function f as the weighted sum of the
eigenfunctions [as in equation (4)]. We have already done this in the matrix formulation of the problem. The advantage of this method is that it is straightforward and we can include the effects of measurement noise quite easily. The drawback is that, in order to use this method, we have to know what the eigenfunctions of K are.
