Kalman filtering of a frequency instability based on Motorola Oncore UT GPS timing signals

The paper presents the application results of different types of optimal and quasi optimal Kalman filters looked after the oven controlled crystal oscillator (OCXO) with reference timing signals of GPS Motorola Oncore UT+ Timing Receiver. Some simple algorithms have been studied for different definitions of filter coefficients, thereupon we showed that optimal, and quasioptimal ones have the similar asymptotic levels with t→∞ but different output noises and transfer times of covariance function