3D Geometry Modeling Method for MIMO Communication Systems Using Correlation Coefficients

Channel models are the basis of system design, theoretical analysis, performance evaluation, optimization, and deployment of communication systems in wireless fading environments. LTE, a global standard for high‐speed data transmission, relies on channel modeling techniques due to its multiple‐input multiple‐output (MIMO) architecture. In MIMO systems, the correlation coefficient is a key metric for evaluating antenna performance, particularly in terms of how effectively the system can exploit spatial diversity and multiplexing gains. This manuscript proposes a three‐dimensional geometry channel modeling method based on the correlation of received signals in a multipath channel, aiming to enhance the performance of MIMO communication systems. We address the fading problem by employing diversity transmission with state‐transparent modulation codes, thereby enhancing link robustness and performance in noisy environments. This method uses geometric diffusion models where poly‐ellipsoid curves or surfaces define scattering locations. The model includes geometrical scattering for indoor environments. We establish an elliptical area and uniformly distribute a specified number of objects within it, taking into account the maximum excess delay and the distance between transmitters and receivers. The transmitter emits data as spherical waves, which scatter upon encountering objects before reaching the antennas. The statistical properties of the received data are derived from the calculated wave parameters, utilizing the common probability distribution function (PDF) of wave amplitudes. Furthermore, essential receiver parameters can be determined, such as signal‐to‐noise ratio, bit error rate for any antenna array, and correlation coefficients between antenna pairs. By utilizing correlation coefficients, we can more accurately represent the interdependencies between various parameters within the LTE framework. The proposed 2‐GHz indoor 1 × 2 MIMO model demonstrates significant enhancements, including 53%–135% reduced SNR fluctuations, 27%–59% improved antenna decorrelation, and 25%–31% increased channel capacity compared to industry‐standard models such as WINNER II, COST 2100, and QuaDRiGa. Furthermore, it achieves a near‐ideal diversity order (1.82–2.0). These advantages stem from its physics‐accurate modeling of spherical wave propagation and poly‐ellipsoid scattering, making it suitable for reliable 5 G/6 G indoor deployments utilizing compact antenna arrays. The proposed model is generated using a ray‐tracing simulation, with numerical results confirming its effectiveness.