Kalman Filter For Beginners With Matlab Examples Download Top Access

x_est = x_pred + K * y; P_est = (eye(2) - K * H) * P_pred;

Invented by Rudolf E. Kálmán in 1960, the Kalman Filter is a mathematical algorithm that uses a series of measurements observed over time, containing statistical noise and other inaccuracies, to produce estimates of unknown variables that are more accurate than those based on a single measurement alone. x_est = x_pred + K * y; P_est

rmse_raw = sqrt(mean((measurements - true_pos).^2)); rmse_kalman = sqrt(mean((stored_x(1,:) - true_pos).^2)); fprintf('Raw sensor RMSE: %.3f m\n', rmse_raw); fprintf('Kalman filter RMSE: %.3f m\n', rmse_kalman); containing statistical noise and other inaccuracies