Then, at each time t, we have M estimates of the filtering measure, namely pi_{t}^{m,N} = frac{1}{N} sum_{n=1}^{N} delta_{x_{t}^{(m,n)}}, quad m=1, ldots, M. (12).
The designed filter provides corrected estimates for the homography at time k, H ^ k, built from the posterior estimate of the filter state, x ^ k.
Figure 8 shows, from top to bottom, the transient responses of the power reference (P^*), the DC capacitor voltage (v_{C0}), the estimate of the filter inductance (hat{L}_S) and the estimate of the series resistance (hat{R}_S) under three different grid voltage conditions and DC-loads.
To get a better and more reliable estimate of the peaks, the averaged bursts were first smoothed, and the latency of the peak was estimated on the filtered data.
An experimental estimate of the filtering introduced by the finite contact patch length is also possible.
The mean square error (MSE) between consecutive estimates of the unknown filter coefficients.
In order to overcome such problems, some updating constraints are proposed based on the following speech characteristics: (i) The level of cross-correlation (ii) The amount of signal power (iii) The mean square error (MSE) between consecutive estimates of the unknown filter coefficients. .
This backward Kalman filter loop is initialized with the estimates of the forward Kalman filter loop at the last epoch, thus it does not need any time to converge like the forward Kalman filter loop and gives more reliable estimates for all epochs (see Fig. 1).
Other simulation conditions are the same as the experiment 1. 1) One simulation: The true target trajectory is shown in Fig. 5, and the position estimates of the MP-PHD filter for one simulation compared with the standard single-path PHD filter are shown in Fig. 6, the estimation of target number is shown in Fig. 7.
