MIMO Assisted Networks Relying on Large Intelligent Surfaces: A Stochastic Geometry Model
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Large intelligent surfaces (LISs) constitute a promising performance enhancement for next-generation (NG) wireless networks in terms of enhancing both their spectrum efficiency (SE) and energy efficiency (EE). Hence we conceive a LIS-aided multiple-input multiple-output framework for providing wireless services to randomly roaming users and analyze its performance by utilizing stochastic geometry tools. As such, each user receives the superposed signals reflected by multiple LISs. We aim for serving multiple users by jointly designing the passive beamforming weight at the LISs and detection weight vectors at the users. As a benefit, the intra-cell interference imposed by the LISs can be suppressed. In an effort to evaluate the performance of the proposed framework, we first derive new channel statistics for characterizing the effective channel gains. Then, we derive closed-form expressions both for the outage probability and for the ergodic rate of users. For gleaning further insights, we investigate both the diversity orders of outage probability and the high signal-to-noise (SNR) slopes of ergodic rate. We also derive the SE and EE of the proposed framework. Our analytical results demonstrate that the specific fading environments encountered between the LISs and users have almost no impact on the diversity orders attainted. Numerical results are provided to confirm that: i) the high-SNR slope of the proposed framework is one; and ii) the SE and EE can be significantly enhanced by increasing the number of LISs.
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