Novel sum-of-sinusoids simulation channel modeling for 6G multiple-input multiple-output vehicle-to-everything communications

In this paper, a statistical cluster-based simulation channel model with a finite number of sinusoids is proposed for depicting the multiple-input multiple-output (MIMO) communications in vehicle-to-everything (V2X) environments. In the proposed sum-of-sinusoids (SoS) channel model, the waves that emerge from the transmitter undergo line-of-sight (LoS) and non-line-of-sight (NLoS) propagation to the receiver, which makes the model suitable for describing numerous V2X wireless communication scenarios for sixth-generation (6G). We derive expressions for the real and imaginary parts of the complex channel impulse response (CIR), which characterize the physical propagation characteristics of V2X wireless channels. The statistical properties of the real and imaginary parts of the complex CIRs, i.e., autocorrelation functions (ACFs), Doppler power spectral densities (PSDs), cross-correlation functions (CCFs), and variances of ACFs and CCFs, are derived and discussed. Simulation results are generated and match those predicted by the underlying theory, demonstrating the accuracy of our derivation and analysis. The proposed framework and underlying theory arise as an efficient tool to investigate the statistical properties of 6G MIMO V2X communication systems.