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Article | REF: AF4516 V1

Inverse techniques and parameter estimation Part 2

Authors: Daniel PETIT, Denis MAILLET

Publication date: January 10, 2008, Review date: October 21, 2019

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3. Regulation and tools

3.1 Bias-dispersion trade-off

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3.1.1 Parameterization of a function and effect of the number of unknowns sought

We now turn to the special case of estimating a function x (t from m measurements collected in a vector y. This problem is always ill-posed, since a function represents a vector with an infinite number of coefficients. In practice, we first project this function onto a number n of functions f k constituting a basis of the space X in which we search for the solution...

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