Optimal Code and Carrier Tracking Loop Design for Galileo BOC(1,1)

摘要

In this paper we deal with the Galileo BOC(1,1) signal tracking loop optimization. It is shown that the DLL/PLL/FLL design can be shown as an optimal controller design problem. A state space model is derived for Galileo signal tracking problem. Based on this a combined DLL/PLL/FLL is design by use of the Linear Quadratic Gaussian (LQG) optimal control theory. The LQG loop filter is a regulator. It derives the total code and phase tracking errors as small as possible and results in the minimum mean squared error control performance. Therefore we can optimally design a combined receiver loop filters for code, carrier, and frequency tracking. This could results in an improved tracking performance over the conventionally, separately and independently designed tracking loops. The designed tracking loops are applied to real Galileo BOC(1,1) signal received from the GIOVE-A satellite. Signal processing results showed improved tracking performance of the LQG based tracking loops over the conventional approach.