Abstract
This communication attempts to characterize the performance metrics of downlink Massive MU-MIMO systems impaired by cochannel interference and additive noise over a Rayleigh fading environment. We obtain close-form solutions for the probability density function of signal-to-interference-plus-noise ratio (SINR) and the sum ergodic capacity. The proposed work structures SINR in a quadratic form and thereby imposes a condition on its signal and interference power for a large transmit antenna diversity order; the conditional form is then analyzed using a distance correlation metric. Eventually, the sum ergodic capacity is expressed in a close-form by means of a residue theory approach and validated using the Monte Carlo simulation means.
Notes
A special case of residue theory is generalized from [9] as
$$\begin{aligned} \frac{1}{2\pi } \int _{-\infty }^{\infty }\frac{e^{j \omega p}}{a+ j \omega }~d\omega = e^{-a p} u(a p),\quad a > 0 . \end{aligned}$$
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Acknowledgements
This project was funded by the Center of Excellence in Intelligent Engineering Systems (CEIES), King Abdulaziz University, under Grant No. (CEIES-16-12-02). The authors, therefore, acknowledge the technical and financial support of CEIES.
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Hassan, A.K., Moinuddin, M. & Al-Saggaf, U.M. Sum Ergodic Capacity Analysis Using Asymptotic Design of Massive MU-MIMO Systems. Wireless Pers Commun 100, 1743–1752 (2018). https://doi.org/10.1007/s11277-018-5669-6
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DOI: https://doi.org/10.1007/s11277-018-5669-6