Kalman filter signal tracking based on relatively fixed-gain
The application of Kalman filtering to the signal tracking of satellite navigation terminals was studied.The tracking loop based on Kalman filter structure was applied to dynamical adjustment of the loop bandwidth by utilizing the optimum estimation theory to solve the restriction of signal intension and dynamic on the signal tracking performance.The relation between the Kalman filter stability and the common lock phase loop was theoretically proved by using the Z transformation in the signal system.The steady-state characteristics of the Kalman filter was analyzed, the idea of fixed filter coefficient about α · β filtering was adopted, and then, for simplifying the calculation, an algorithm for tracking of Kalman filtering signals based on the relatively fixed-gain was proposed under the condition of keeping the basic recursion process and using the principle of error constant in the steady state.The algorithm uses a SNR based seeking table (without calculation) to determine the gain coefficient to reduce the load burden.The results of the performance test show the algorithm is robust enough to track signal accurately.Its transient response error is a little bigger than that of the standard arithmetic when signals change suddenly.Its steady error is basically same as the standard arithmetic.
signal trackingKalman filterloop bandwidthfilter gain