Diversity Order and Measure of MIMO Antennas in Single-User, Multiuser, and Massive MIMO Wireless Communications

In this letter, the diversity order (DO) and the diversity measure (DM) of multiple-input multiple-output (MIMO) antennas in generic single-user, multiuser, and massive MIMO wireless communications are calculated for several practical case studies. These performance metrics are calculated from the antenna correlation coefficient (ACC) matrix. The DO is calculated from the rank of the ACC matrix, and the DM is obtained from the trace and Frobenius norm of the ACC matrix. Numerical results are provided. In particular, it is shown that though the DM is always less than the DO, it incorporates the effect of antenna correlation on the diversity gain in a better way.

Automated summary

This letter calculates the diversity order (DO) and diversity measure (DM) of multiple-input multiple-output (MIMO) antennas in various practical scenarios of single-user, multiuser, and massive MIMO wireless communications. These metrics are computed using the antenna correlation coefficient (ACC) matrix. The DO is obtained from the rank of the ACC matrix, while the DM is derived from the trace and Frobenius norm of the ACC matrix. Numerical results are presented, highlighting that the DM captures the impact of antenna correlation on diversity gain more effectively than the DO.