Synthesis of interference resistant spatiotemporal filter for navigation parameters high precision measurements using global navigation satellite systems

Abstract

The article considers problems of modern global navigation satellite systems high-precision user terminals performance in jamming and spoofing environment. The solution to the low interference resistance problem is the use of digital antenna arrays with spatiotemporal signal processing algorithms. The well-known, most studied and brought to practice algorithms for the spatiotemporal signal processing are described, reasons that do not allow the use of these algorithms in global navigation satellite systems high-precision user terminals are given. This article proposes a spatiotemporal signal processing algorithm based on a spatiotemporal filter of finite length with a special, theoretically justified requirement for the Hermitian symmetry of the matrix impulse response, which guarantees the absence of signal distortion in any interference environment. In this case, the spatiotemporal filter impulse response is calculated by the criterion of optimal interference suppression. The proposed spatiotemporal filter characteristics, as well as other spatiotemporal signal processing algorithms characteristics, were studied by mathematical simulation with random enumeration of interference environment parameters (directions to signals, to numerous interferences and their reflections, range of interference reflectors, reflection phases, interference and reflections levels, etc.). Simulation results are presented in the form of distribution functions of signal-to-noise ratios at the output of spatiotemporal signal processing algorithms and distribution functions of phase and signal time biases. The obtained dependencies confirm the absence of phase and signal time biases in the spatiotemporal filter in absolutely any interference environment with interfering multipath, while the spatiotemporal filter provides greater interference resistance than compensating spatiotemporal signal processing algorithms.