Target Tracking of a Linear Time Invariant System under Irregular Sampling

Abstract

Due to event-triggered sampling in a system, or maybe with the aim of reducing data storage, tracking many applications will encounter irregular sampling time. By calculating the matrix exponential using an inverse Laplace transform, this paper transforms the irregular sampling tracking problem to the problem of tracking with time-varying parameters of a system. Using the common Kalman filter, the developed method is used to track a target for the simulated trajectory and video tracking. The results of simulation experiments have shown that it can obtain good estimation performance even at a very high irregular rate of measurement sampling time.

Parallel Irregular Fusion Estimation Based on Nonlinear Filter for Indoor RFID Tracking System

“…One solution was to use the transform method to make the irregular sampling interval a time-varying parameter of the system, and the recursive method from to −1 was then used to estimate the target trajectory [18]. Note that the "current model" was used in [18] to describe the processing model of the maneuvering target, but it cannot fully reflect the dynamics of indoor targets.…”

“…According to the adaptive statistics model in [18], the system parameters of the horizontal and longitudinal axis are as follows: …”

Dynamic Guaranteed Cost Compression for Time Series Big Data

“…For example, the data chain with 70 sampling points shown in Fig. 118 1(a), we can cut dawn it into the time interval with 5 sampling points, i.e., [1,2,3,4], [6,7,8,9,10,11], etc. In each interval, we calculate the mean of total 5 data and get the mean to replace the former five points, which is shown by the "star" in the Figure 1.To show clearly, Figure 1 (b) gives one of the time intervals from 26 to 30.…”

“…[8][9][10][11], we can see the irregular estimation method with selected measurement has the following two advances: 1) the uncertainty is effectively reduced and the necessary information is extracted by the estimation processing. 2) the calculation cost is cut down by selecting some of the measurement.…”

“…A method named as the irregular estimation method is given in Ref. [8] and Ref. [9] uses this method to implement the fast video tracking with less computing cost.…”