Abstract

Vehicles tracking is organized to increase safety in smart cities by localizing cars using the Global Positioning System (GPS). The GPS-based system provides accurate tracking, but is also required to be reliable and robust. As a main estimator, we propose using the unbiased finite impulse response (UFIR) filter, which meets these needs as a more robust alternative to the Kalman filter (KF). The UFIR filter is developed for vehicle tracking in discrete-time state-space over wireless sensor networks (WSNs) with time-stamped discretely delayed on k-step-lags and missing data. The state-space model is represented in a way such that the UFIR filter, KF, and H∞ filter can be used universally. Applications are given for measurement data, which are cooperatively transferred from a vehicle to a central station through several nodes with k-step-lags. Better tracking performance of the UFIR filter is shown experimentally.

Highlights

  • Accurate target tracking is one of the key problems in urban areas [1]

  • If a target is equipped with the Global Positioning System (GPS) tracker, measurement data can be transferred to a central station through one or several nodes of a wireless sensor network (WSN) [2]

  • We develop the unbiased finite impulse response (UFIR) filter for GPS-based vehicle tracking over WSNs with time-stamped discretely delayed and missing data

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Summary

Introduction

If a target is equipped with the Global Positioning System (GPS) tracker, measurement data can be transferred to a central station through one or several nodes of a wireless sensor network (WSN) [2]. The robust H∞ filter bounds the mean square error (MSE) for admissible parameter perturbations and delays [9], which allows minimizing errors with less information required than for the noise statistics [10] Another way to achieve better robustness is to process most recent finite data [12] using finite impulse response (FIR) filters [13]. The KF and H∞ filter were most developed for data with latency

Kalman Filtering Estimate
UFIR Filtering for Delayed and Missing Data
Batch UFIR Filter Form
Iterative UFIR Filter Form
Tracking Errors Caused by Latency
Iterative Computation of Pn
GPS-Based Tracking of a Moving Vehicle
State-Space Model
Effect of Latency on the Estimation Accuracy
Tracking in the north direction
Tracking with Temporary Lost Data
Conclusions
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