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.

auto-correlation 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.