Hi,
I have just started off with Kalman implementation. My aim is to
estimate state vectors from the obseravtions (Z).
I have doubt regarding estimation of process noise variance matrix,
Quoting the state update eqtn
Xhat = XPred + K_G ( Z - H * Xpred )
Where K_G is the Kalman Gain
This eq follows the input model :
X_n = Phi * X_n-1 + W_n
1) Am I right stating, the co-variance matrix Q = E[ W_n * W_n
Trnspose] should follow the last term (P) of the prediction eq if my
guess of Q was right. (i.e)
P =E[ ( K_G ( Z - H * Xpred ) ) * (K_G ( Z - H * Xpred
)Trnspose )]
2) If tht is true, can I update my Q value as a function of P.
3) Can I use the same tactic to update my measurement noise variance
matrix from the estimate of
( Z - H * Xpred) value.
Thanx,
Hurry.