The Integration Time Analysis for High Sensitivity Kalman Filter based Tracking loop-in view of the Stability and Accuracy Analysis

Rong Yang, Yang Wang, Li Cong, Keck Voon Ling, and Eng Kee Poh

Abstract:	Kalman filter (KF) based tracking loop is widely applied in GNSS software receiver due to its excellent tracking performance. However, for weak signal tracking, using high sensitivity KF based tracking loop requires a long integration time. Although increasing the integration time T can improve the tracking accuracy, it reduces the system update rate and increases the system noise, which may result in tracking loop instability. In this paper, we design the KF-based tracking loop from the perspective of the stability and accuracy analysis. To do so, the closed-form solutions of the KF gain matrix and error covariance matrix in steady state are first derived. Based on the derived analytical solution, the formula for the stability margin is established. It is found that the stability specification and the phase tracking error variance are strongly related to the value of T and CN0. Hence, we provide the admissible range of T for given CN0 to meet both stability and accuracy requirements.
Published in:	Proceedings of the ION 2015 Pacific PNT Meeting April 20 - 23, 2015 Marriott Waikiki Beach Resort & Spa Honolulu, Hawaii
Pages:	649 - 658
Cite this article:	Yang, Rong, Wang, Yang, Cong, Li, Ling, Keck Voon, Poh, Eng Kee, "The Integration Time Analysis for High Sensitivity Kalman Filter based Tracking loop-in view of the Stability and Accuracy Analysis," Proceedings of the ION 2015 Pacific PNT Meeting, Honolulu, Hawaii, April 2015, pp. 649-658.
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