The Theoretical Foundation of Sensitivity Analysis for GPS

In this paper the equations of sensitivity analysis are derived and established theoretical underpinnings for the analyses. Paper propounds a land‐vehicle navigation concepts and definition for sensitivity analysis. Equations of sensitivity analysis are presented for a linear Kalman filter and case study is given to illustrate the use of sensitivity analysis to the reader. At the end of the paper, extensions that are required for this research are made to the basic equations of sensitivity analysis specifically; the equations of sensitivity analysis are re‐derived for a linearized Kalman filter.