Auto-zero/Auto-calibration

Revision as of 08:28, 14 August 2010 by Rrogers314 (Talk | contribs)

Mathematical Formulation

Let

$LaTeX: x_i\,$ be some environmental or control variables that need to be estimated
$LaTeX: \hat{x}_i$ be the estimates of $LaTeX: x_i\,$
$LaTeX: Q(x,\hat{x})$ be a quality measure of resulting estimation; for example $LaTeX: \sum{(x_i-\hat{x_i})^2}$ .
$LaTeX: y_j\,$ be the results of a measurement processes attempting to measure $LaTeX: x_i\,$
$LaTeX: p_k\,$ be uncertain parameters affecting the measurement
$LaTeX: e_k\,$ be the errors in $LaTeX: p_k\,$ referred to nominal.
$LaTeX: \hat{e}_k$ be the estimates of $LaTeX: e_k\,$