Quasi-Optimal Filtering in Inverse Problems

Details Quasi-Optimal Filtering in Inverse Problems Quasi-Optimal Filtering in Inverse Problems

2004-12-11

arxiv.org/abs/math-ph/0412036v1

Astronomical and Astrophysical Transactions, Vol. 23, No. 2, pp. 85-93, 2004

Physics

Mathematical Physics

9 pages, 240 KB

Scientific paper

10.1080/10556790410001654114

A way of constructing a nonlinear filter close to the optimal Kolmogorov - Wiener filter is proposed within the framework of the statistical approach to inverse problems. Quasi-optimal filtering, which has no Bayesian assumptions, produces stable and efficient solutions by relying solely on the internal resources of the inverse theory. The exact representation is given of the Feasible Region for inverse solutions that follows from the statistical consideration.

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