Block 7 — Extended Kalman Filter#
Introduces the EKF for nonlinear measurement models, derives the measurement Jacobian for GPS pseudoranges, and tightly couples a five-state filter that fuses inertial propagation with GPS pseudorange measurements.
What you’ll learn#
Distinguish between loose-coupling and tight-coupling GPS/INS integration.
Apply the standard linear Kalman filter when GPS provides a position measurement.
Explain why pseudorange measurements require an Extended Kalman Filter.
Compute the pseudorange Jacobian \(\mathbf{H}\) from the receiver-to-satellite geometry.
Trace through one complete EKF predict-update cycle with GPS pseudoranges.