Analyzing the First-Order Statistical Properties of Vehicle-to-Vehicle Rician Fading Channel

Vehicle-to-vehicle (V2V) communication channels have distinct characteristics compared to fixed-to-mobile channels (F2M). Both the transmitter and receiver in V2V systems use low-elevation antennas and are in motion, and the surrounding environment and traffic patterns influence the channel characteristics. To effectively understand and model V2V communication systems, it is essential to characterize the channel using first-order statistical properties, precisely the space time frequency correlation function (STF-CF) and space Doppler frequency power spectral density (SDF-PSD). These metrics enable a comprehensive channel characterization, dynamic environmental adaptation, understanding of mobility effects, spatial variations, and detailed insights into signal power distribution across different frequencies. This paper presents a simplified geometric two-ring (SGTR) model of a V2V channel with demystified and concise mathematical analysis for STF-CFs and SDF-PSD characteristics. The analysis yields closed-form solutions consistent with established models. Additionally, the numerical results demonstrate excellent agreement with theoretical predictions, offering valuable insights into the statistical properties of V2V Rician fading channels.