2016/08/01 by M. S. Yarlykov · 1 citation
Engineering · Physics and Astronomy · Earth and Planetary Sciences · Mathematics · #GNSS positioning and interference #Ionosphere and magnetosphere dynamics #Geophysics and Gravity Measurements #Binary offset carrier modulation #Fourier transform #Trigonometric functions #Sine #Waveform #Inverse #Energy (signal processing) #Mathematics #Spectral line #Algorithm #Binary number #Offset (computer science) #Fractional Fourier transform #Mathematical analysis #Computer science #Acoustics #Physics #Telecommunications #Bandwidth (computing) #Fourier analysis #Frequency modulation #Statistics #Amplitude modulation #Geometry #Arithmetic #Quantum mechanics
paper · doi:10.1134/s1064226916080180
openalex publication_date 2016/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
The navigation signals with sine binary offset carrier (sinBOC), cosine BOC (cosBOC), and alternative BOC (AltBOC) modulations are discussed. A technique for calculating the correlation functions (CFs) of the single components of modulating functions (MFs) inherent to the given signals, which is based on the inverse Fourier transform (IFT) of energy spectra, is proposed. This technique makes it possible to derive analytical expressions for the CFs characterizing the single components of the MFs of sinBOC and cosBOC signals and complete AltBOC waveforms with a constant envelope at the multiplicity coefficients N m = 2‒4. The graphs of CFs are constructed. Several illustrating examples, in which most attention is paid to sinBOC, cosBOC, and AltBOC signals employed in the Galileo satellite radio-navigation system and the global positioning system, are presented.