Tracking Algorithm for Estimating the Orientation Angles of the Object Based on the Signals of Satellite Radio Navigation System

In the article, the theory of optimal filtering of information processes is used to synthesize optimal one-stage estimation algorithm for the object orientation angles using the signals of the satellite navigation system. The article also provides equations of optimal filtering, as well as their representation in the form of the tracking system comprising of an orientation angles discriminator and a smoothing filter. The synthesized algorithm has no tracking systems for the phases of the received signals (or phase differences) and the procedures for resolving the ambiguity of phase measurements that enhance its noise immunity while maintaining high precision in estimating the orientation angles. The article provides expressions for the calculation of the Cramer-Rao lower limit for the dispersion errors matrix for estimating object orientation angles when receiving signals of an arbitrary number of navigation satellites. The results of the simulation of the synthesized system are provided in the study.