Statistical Characteristics of the cosGBOC Signals of Promising Satellite Radio Navigation Systems

Abstract

Properties and statistical (time and frequency) characteristics of the cosGBOC signals for new generations of satellite radio navigation systems (in particular, GPS (USA), Galileo (EU), and BeiDou (China)) are considered. Analytical expressions for correlation functions (CFs) of single elements of modulating function (MF) of the cosGBOC signals are derived for typical pulse multiplicities of \({{N}_{{\text{p}}}}\) = 2 and 4 and different values of duty cycle ρ (ρ ∈ [0, 1]). It is shown that general formulas are valid for important particular cases in which ρ = 0.5 (meander-type noise-like signals (cosBOC signals)) and ρ = 0 or 1 (binary phase-shift keying (BPSK) signals). Direct Fourier transform of the CF is used to calculate energy spectra (power spectral densities) of single elements of MF of the cosGBOC signals for \({{N}_{{\text{p}}}}\) = 2 and 4.