I. Introduction
The development of Global Navigation Satellite System (GNSS), especially the BDS (BeiDou Navigation Satellite System) and Galileo, will greatly improve the availability of satellite navigation services in future railway systems. At the same time, the modernization of GPS is set to occur. The rapid development of GNSS constellations and new techniques makes it possible of playing an important role in the future railway signaling systems, by reducing the construction and maintenance cost of track-side infrastructure, enhancing the autonomy of train-bome equipment and increasing flexibility of the whole system. The latest stage of the European Train Control System (ETCS), ETCS level 3, is bringing new opportunities for GNSS-based train positioning with GNSS in hybridized solutions with assistant localization sensors (i.e.odometer, inertial sensors or radars) [1, 2], A series of R&D projects have been launched in Europe to investigate the applicability of the standardized satellite-based localization functionality, e.g. Next Generation Train Control (NGTC) [3] RHINOS [4] and Gate4Rail [5], Based on the development of high-speed railway in China, the framework of Chinese Train Control System (CTCS) also introduced advanced techniques into new CTCS schemes to realize next generation intelligent train control systems. Owing to the development of BDS, the satellite-based positioning is attracting more attention for the novel train control systems like CTCS-Level 4. It has been an inevitable solution to utilize the GPS/BDS dual mode GNSS positioning and a hybridized train positioning architecture in the new design [6],