Realization of Kalman Filtering for Synchronization Based on Oncore UT+ GPS Receiver

摘要

This paper shows the results achieved by 3D Kalman Filter and Moving Average Filter: Optimal and Simple (MA and OMA), both are used to get synchronization between receivers and transmitters of digital communication systems and networks. Every digital receiver uses basically a PLL structure for synchronization. Here is used the direct form (tracking error) of a digital PLL (DPLL) which digital filter stage is optimized like principal goal using stochastic optimal control. This is adjusted for Kalman Filter because its recursive structure and to find the control system's optimal feedback gain Kl and stability. Both MA and OMA are used to get initial statistical data for the stationary 3D Kalman Filter and achieve the best error approach as well as the synchronization with minimal time processing and accuracy of 10-10. The results are based on phase difference observations between timing signal of 1 pps from GPS for 100 seconds and a crystal oscillator (OCXO ～ 5 MHz).