clear; clc; close all;
( \hatx k = \hatx k + K_k \cdot (z_k - \hatx_k-1) ). Translation: New estimate = Old prediction + Gain × (Measurement - Prediction). This difference ( (z_k - \hatx) ) is called the residual or innovation. kalman filter for beginners with matlab examples by phil kim
% Define the process noise covariance Q = [0.01 0; 0 0.01]; clear; clc; close all; ( \hatx k =
Happy filtering.
At its heart, a Kalman Filter is an . It’s used to estimate the state of a system (like position or velocity) when you have two things: % Define the process noise covariance Q = [0
% Storage true_pos = zeros(1, TOTAL_STEPS); meas_pos = zeros(1, TOTAL_STEPS); est_pos = zeros(1, TOTAL_STEPS); est_vel = zeros(1, TOTAL_STEPS);
% 3. Update step K = P_pred / (P_pred + R); % Kalman gain (Equation 3) x_est = x_pred + K * (z - x_pred); % state update (Equation 4) P = (1 - K) * P_pred; % covariance update (Equation 5)