Stochastic geometry modeling and performance evaluation of MIMO cellular networks using the equivalent-in-distribution (EiD)-based approach

Marco Di Renzo 1 Wei Lu
1 Division Télécoms et Réseaux
L2S - Laboratoire des signaux et systèmes
Abstract : The equivalent-in-distribution (EiD)-based approach to the analysis of single-input-single-output (SISO) cellular networks for transmission over Rayleigh fading channels has recently been introduced [1]. Its rationale relies upon formulating the aggregate other-cell interference in terms of an infinite summation of independent and conditionally distributed Gaussian random variables (RVs). This approach leads to exact integral expressions of the error probability for arbitrary bi-dimensional modulations. In this paper, the EiD-based approach is generalized to the performance analysis of multiple-input-multiple-output (MIMO) cellular networks for transmission over Rayleigh fading channels. The proposed mathematical formulation allows us to study a large number of MIMO arrangements, including receive-diversity, spatial-multiplexing, orthogonal space-time block coding, zero-forcing reception and zero-forcing precoding. Depending on the MIMO setup, either exact or approximate integral expressions of the error probability are provided. In the presence of other-cell interference and noise, the error probability is formulated in terms of a two-fold integral. In interference-limited cellular networks, the mathematical framework simplifies to a single integral expression. As a byproduct, the proposed approach enables us to study SISO cellular networks for transmission over Nakagami-m fading channels. The mathematical analysis is substantiated with the aid of extensive Monte Carlo simulations.
Type de document :
Article dans une revue
IEEE Transactions on Communications, Institute of Electrical and Electronics Engineers, 2015, 63 (3), pp.977-996. 〈10.1109/tcomm.2015.2388760 〉
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Soumis le : lundi 8 février 2016 - 10:44:59
Dernière modification le : lundi 19 février 2018 - 10:44:57

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Marco Di Renzo, Wei Lu. Stochastic geometry modeling and performance evaluation of MIMO cellular networks using the equivalent-in-distribution (EiD)-based approach. IEEE Transactions on Communications, Institute of Electrical and Electronics Engineers, 2015, 63 (3), pp.977-996. 〈10.1109/tcomm.2015.2388760 〉. 〈hal-01270546〉

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