Research Article

Reliable and Efficient Approach of BOLD Signal with Dual Kalman Filtering

Figure 4

Parameters estimated by joint UKF and dual UKF. The mean values in Table 1 are used as initial values in our simulation. Apart from 𝐸 0 , which grows sharply at the beginning and does not change afterwards, all the parameters obtained from dual UKF can be seen as constants. Resting oxygen extraction 𝑉 0 is the most important parameter in driving the model uncertainty [17], but simultaneous estimation of 𝑉 0 and other parameters would be impossible, as stated earlier. 𝛼 is a nominal mechanism to BOLD signal. Therefore 𝑉 0 and 𝛼 does not enter filtering.
961967.fig.004a
(a) Joint estimate
961967.fig.004b
(b) Dual estimate