Sum Ergodic Capacity Analysis Using Asymptotic Design of Massive MU-MIMO Systems

  • Ahmad Kamal Hassan
  • Muhammad Moinuddin
  • Ubaid M. Al-Saggaf


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.


Ergodic capacity Residue theory Weighted sum of chi-square Antenna diversity SINR analysis 



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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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Ahmad Kamal Hassan
    • 1
    • 2
  • Muhammad Moinuddin
    • 2
    • 3
  • Ubaid M. Al-Saggaf
    • 2
    • 3
  1. 1.Faculty of Electrical EngineeringGhulam Ishaq Khan Institute of Engineering Sciences and TechnologyTopiPakistan
  2. 2.Center of Excellence in Intelligent Engineering Systems (CEIES)King Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of Electrical and Computer EngineeringKing Abdulaziz UniversityJeddahSaudi Arabia

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