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true_traj(:,k) = x; meas(:,k) = z; est(:,k) = xhat; end
% Covariance Matrix: How unsure are we about our initial guess? P = [1 0; 0 1]; true_traj(:,k) = x; meas(:,k) = z; est(:,k) =
If you found this article helpful, share it with a fellow engineer. The code is free, the knowledge is powerful, and the filter is forever. % We will track it using a Kalman Filter
Appendix: Downloadable MATLAB examples Save the provided code blocks into .m files (e.g., kalman_1d.m, kalman_2d.m). Run in MATLAB; adjust Q/R to see effects. % Predict covariance To dive deeper
%% Kalman Filter for Beginners - 1D Position Tracking % This example simulates an object moving at a constant velocity. % We will track it using a Kalman Filter.
%% 3. KALMAN FILTER LOOP for k = 1:N % --- PREDICTION STEP --- x_pred = F * x_est; % Predict state P_pred = F * P_est * F' + Q; % Predict covariance
To dive deeper, you should explore the , which includes built-in functions like kalman() for state-space models.