Robust filter algorithm of carrier tracking loop for GPS software receiver
GPS软件接收机载波跟踪环路鲁棒滤波算法

The inhibition of the loop filter noise jitter is an important guarantee for precise continuous tracking of the satellite signal in global positioning system (GPS) software receiver. This paper uses the noise unknown but bounded assumptions, instead of the demanding requirements of the noise statistical properties known in the traditional methods. The application of semidefinite programming approach converts the filtering problem into a convex optimization problem. Adopting the carrier tracking loop robust filtering algorithm to obtain the confidence ellipsoid containing the Doppler shift, we solve the filter tracking problem for GPS receiver in the complex and changing environment. The algorithm is validated by using the analog carrier signal and the actual satellite signal. Results show this method effectively tracks the GPS satellite signals and provides a new way of thinking for designing the loop filter for GPS receivers.