openpilot is an open source driver assistance system. openpilot performs the functions of Automated Lane Centering and Adaptive Cruise Control for over 200 supported car makes and models.
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from openpilot.common.kalman.simple_kalman_impl import KF1D as KF1D
assert KF1D
import numpy as np
def get_kalman_gain(dt, A, C, Q, R, iterations=100):
P = np.zeros_like(Q)
for _ in range(iterations):
P = A.dot(P).dot(A.T) + dt * Q
S = C.dot(P).dot(C.T) + R
K = P.dot(C.T).dot(np.linalg.inv(S))
P = (np.eye(len(P)) - K.dot(C)).dot(P)
return K