If you are looking for guided tutorials and downloadable code, these are the top-rated resources from MATLAB Central :
% --- Simple Kalman Filter MATLAB Example --- clear; clc; % 1. Parameters true_voltage = 1.25; % The actual value n_samples = 50; % Number of readings process_noise = 1e-5; % How much we think the system changes sensor_noise = 0.1^2; % Variance of the voltmeter noise % 2. Initialize Arrays measurements = true_voltage + randn(1, n_samples) * 0.1; estimates = zeros(1, n_samples); P = 1.0; % Initial error covariance xhat = 0; % Initial guess % 3. The Kalman Loop for k = 1:n_samples % --- Prediction Step --- xhat_minus = xhat; % Project state ahead P_minus = P + process_noise; % Project error covariance % --- Correction Step --- K = P_minus / (P_minus + sensor_noise); % Compute Kalman Gain xhat = xhat_minus + K * (measurements(k) - xhat_minus); % Update estimate P = (1 - K) * P_minus; % Update error covariance estimates(k) = xhat; end % 4. Visualization plot(1:n_samples, measurements, 'r.', 'MarkerSize', 10); hold on; plot(1:n_samples, estimates, 'b-', 'LineWidth', 2); line([0 n_samples], [true_voltage true_voltage], 'Color', 'g', 'LineStyle', '--'); legend('Noisy Measurements', 'Kalman Estimate', 'True Value'); title('Kalman Filter: Constant Voltage Estimation'); xlabel('Sample Number'); ylabel('Voltage'); Use code with caution. Why Use the Kalman Filter?
: This is usually a trial-and-error process. If your filtered line is too laggy and slow to respond to changes, decrease or increase If you are looking for guided tutorials and
| Resource | Description | Key File(s) | Where to Download | | :--- | :--- | :--- | :--- | | | The official companion code for the popular book by Phil Kim. It covers the progression from simple recursive filters all the way to Extended (EKF) and Unscented (UKF) Kalman filters for nonlinear systems. | Entire repository, focusing on 1.AvgFilter to 15.UKF . | menotti/Kalman-Filter-for-Beginners on GitHub | | Discrete Kalman Filter in MATLAB | A clean, didactic implementation inspired by the famous "Welch & Bishop" introduction paper, which you can also download. | simpleKalmanFilter.m , KF_train_const_speed.m , KF_train_sys_input.m . | cliansang/kalman_filter_matlab on GitHub | | Linear Kalman Filter | A fully commented MATLAB script that demonstrates the filter on a 2nd-order under-damped system, making it a great follow-up after scalar examples. | linear_kalman_filter.m . | MATLAB Central File Exchange (search term 29127 ) | | Basic Kalman Filter Algorithm | A robust and adaptable code that computes the optimal Kalman gain and state estimates, with examples that include a variety of system models. | kalman_filter.m . | MATLAB Central File Exchange (search term 88867 ) |
end
If your sensor is garbage, increase R.
If you are looking for "Top" downloads or advanced examples, the best resource is the or the official MathWorks Documentation . The Kalman Loop for k = 1:n_samples %
% Predict the error covariance ahead P = F * P * F' + Q;
end
6.3 meters (which is better than either 6.0 or 6.5 alone).