Tracking dynamics on the GPS signal is still a big challenge to the receiver designer as the operating conditions are becoming more volatile. Optimizing the stand-alone system for dynamics generally degrades the accuracy of measurements. Therefore, an inertial navigation system (INS) is integrated with GPS to address this issue. Doppler derived from INS can be used to aid the carrier tracking loop for improving the performance under dynamic conditions. However, the derived doppler does not truly reflect the GPS signal doppler due to errors in inertial sensors. As the tracking loop bandwidth is reduced significantly in ultratightly integrated systems, any offsets in the aiding doppler creates undesired correlations in the tracking loop resulting in sub-optimal performance of the loop. The paper addresses this issue and also provides a mitigating mechanism to reduce the effects of incorrect estimates of the doppler. It is shown that doppler offsets resulting in a bias in the tracking loop can be appropriately modelled and removed. Mathematical algorithms pertaining to this are provided and the results are summarized. Simulations show that the bias due to aiding doppler offsets could be effectively addressed by appropriate modelling. K E Y W O R D S 1. INS derived Doppler. 2. Correlations. 3. Stochastic Modelling.
I N T R O D U C T I O N.Continuous tracking of GPS signals in dynamic scenarios pose a significant challenge for the design of the tracking loops. Optimizing a design to suit a particular scenario will degrade its performance in other scenarios. For instance, increasing the carrier tracking loop bandwidth to receive dynamic signals will inadvertently affect the accuracy of the raw measurements (Jwo, 2001 ;Cox, 1982). Therefore, in a stand-alone GPS receiver, a trade-off design is required to perform optimally in all the scenarios. External sensor integration with the GPS is considered as an alternative to improve upon this, and INS is the ideal choice as it is not only autonomous but also provides attitude at higher data rates. Traditionally, the integration of GPS and INS were carried out in loosely and tightly coupled configurations (Brown & Hwang, 1997). While these systems offer significant advantages over the stand-alone GPS, nevertheless it is imperative to improve the performance wherever possible. With this point of view, the development of integration presently culminated in ultra-tight systems. This type of integration, also called deep level tracking, integrates the I (in-phase) and Q (quadrature) signals