Improved synchronisation algorithm based on reconstructed correlation function for BOC modulation in satellite navigation and positioning system

Abstract

With the development of the new generation satellite navigation and positioning systems utilise binary offset carrier (BOC) modulation to improve inter-operability. The main shortcoming of BOC modulation is its ambiguity of searching for a multi-peaked auto-correlation function (ACF). In this study, an improved unambiguous synchronisation algorithm based on compensated correlation reconstructed technique (CCRT) is proposed for the arbitrary-order BOC, which is a new modulation technique for navigation modernisation. The key technique used in this study is to generate local reference signals with different shape vectors. By recombining the piecewise correlation functions of the step-shape coded symbol, a reconstructed correlation function which has only one peak is obtained, and the energy loss is compensated by the ACF. In the proposed algorithm, different shape vectors are employed in different BOC modulation signals. The simulation results demonstrate that the ambiguity problem is completely eliminated. Compared with traditional synchronisation methods, the proposed algorithm shows outstanding detection and multipath mitigation performance. Moreover, the CCRT can be utilised for arbitrary stage BOC modulation signals.