Indoor MIMO Channel Modelling with Modified Gumbel's Bivariate Exponential Expression Based on Double-Directional Correlation Properties

Precise measurement and modelling of the Direction of Arrival (DoA) and Direction of Departure (DoD) in the Multi- ple-Input Multiple-Output (MIMO) channel based on their cor- relation properties and joint distributions have not been investi- gated properly. Our main contribution in this paper is two fold. Firstly, based on a modified Gumbel's bivariate exponential ap- proach, we propose a generic indoor MIMO channel modelling framework particularly for the double-directional 'general trend' that has been observed in these dual-spatial domains. Secondly, we propose a transformation technique to generate the pair wise DoA and DoD components incorporating the correlation proper- ties of the variates around the full azimuth range. Results show that the newly proposed modelling approaches provide a good match to the real data, offering an alternative hassle-free method to generate realistic directional-based stochastic MIMO channel responses in different indoor environments.