Kalman Filter For Beginners With Matlab Examples Download -

x = [position; velocity] position_new = position_old + velocity_old * dt velocity_new = velocity_old Full MATLAB Code % Kalman Filter for 1D Motion (Position + Velocity) clear; clc; dt = 0.1; % time step T = 100; % number of steps true_vel = 5; % m/s true_pos = 0;

% --- Prediction --- x_pred = F * x_est; P_pred = F * P_est * F' + Q;

x_history(k) = x_est; end

% Initial guess x_est = 20; % initial estimate (wrong on purpose) P_est = 5; % initial uncertainty (high)

% Initial state [position; velocity] x_est = [0; 0]; P_est = [10 0; 0 10]; kalman filter for beginners with matlab examples download

% Matrices F = [1 dt; 0 1]; % state transition H = [1 0]; % we measure only position Q = [process_noise_pos^2 0; 0 process_noise_vel^2]; R = meas_noise_pos^2;

est_traj(k) = x_est(1); end

for k = 1:T % True motion true_pos = true_pos + true_vel * dt; true_traj(k) = true_pos;