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Performance Analysis of Spatial Modulation MIMO in a Poisson Field of Interferers

Abstract : In this paper, we introduce a mathematical framework for computing the Average Symbol Error Probability (ASEP) of Spatial Modulation (SM) Multiple-Input-Multiple-Output (MIMO) wireless systems in the presence of multiple-access interference, Rayleigh fading, and additive noise. The interferers are assumed to be randomly distributed in the bi-dimensional plane according to a homogenous Poisson Point Process (PPP). By leveraging recent application of stochastic geometry to the analysis of random wireless networks, we provide a closed-form mathematical expression of the ASEP averaged over both the channel fading and the spatial locations of the interferers, which accounts for an arbitrary number of antennas at the transmitter (Nt) and at the receiver (Nr), as well as for an arbitrary modulation order (M) and amplitude path-loss exponent (b > 1). The proposed mathematical framework unveils the following performance trends: i) by relying on the Nearest Neighbor (NN) approximation, we show that the ASEP is (almost) independent of Nt if M > 4; ii) the diversity order is independent of Nr, but the coding gain increases with Nr; and iii) if the transmit-power of the interferers is independent of the transmit-power of the useful user, the diversity order is equal to 1/b. On the other hand, if the transmit-power of the interferers scales linearly with the transmit-power of the useful user, an error-floor emerges. The mathematical framework is substantiated through extensive Monte Carlo simulations and design guidelines from the performance trends are discussed.
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https://hal-supelec.archives-ouvertes.fr/hal-01104518
Contributor : Wei Lu <>
Submitted on : Friday, January 16, 2015 - 8:35:57 PM
Last modification on : Wednesday, September 16, 2020 - 4:47:33 PM

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Wei Lu, Marco Di Renzo. Performance Analysis of Spatial Modulation MIMO in a Poisson Field of Interferers. 2014 International Conference on Computing, Networking and Communications (ICNC), Feb 2014, Honolulu, United States. ⟨10.1109/iccnc.2014.6785415⟩. ⟨hal-01104518⟩

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