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Meta Distribution of the SIR in Large-Scale Uplink and Downlink NOMA\n Networks

2018/04/08 by Mohammad Salehi, Hina Tabassum, Salehi, Mohammad +3 · 1 citation
Engineering · #Advanced MIMO Systems Optimization #Advanced Wireless Communication Technologies #FOS: Computer and information sciences #Information Theory (cs.IT) #Optical Wireless Communication Technologies

paper · pdf · doi:10.48550/arxiv.1804.02710

openalex publication_date 2018/04/08 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We develop an analytical framework to derive the meta distribution and\nmoments of the conditional success probability (CSP), which is defined as\nsuccess probability for a given realization of the transmitters, in\nlarge-scale co-channel uplink and downlink non-orthogonal multiple access\n(NOMA) networks with one NOMA cluster per cell. The moments of CSP translate to\nvarious network performance metrics such as the standard success or\nsignal-to-interference ratio (SIR) coverage probability (which is the 1-st\nmoment), the mean local delay (which is the -1-st moment in a static network\nsetting), and the meta distribution (which is the complementary cumulative\ndistribution function of the conditional success probability and can be\napproximated by using the 1-st and 2-nd moments). For uplink NOMA, to make\nthe framework tractable, we propose two point process models for the spatial\nlocations of the interferers by utilizing the base station (BS)/user pair\ncorrelation function. We validate the proposed models by comparing the second\nmoment measure of each model with that of the actual point process for the\ninter-cluster (or inter-cell) interferers obtained via simulations. For\ndownlink NOMA, we derive closed-form solutions for the moments of the CSP,\nsuccess (or coverage) probability, average local delay, and meta distribution\nfor the users. As an application of the developed analytical framework, we use\nthe closed-form expressions to optimize the power allocations for downlink NOMA\nusers in order to maximize the success probability of a given NOMA user with\nand without latency constraints. Closed-form optimal solutions for the transmit\npowers are obtained for two-user NOMA scenario. We note that maximizing the\nsuccess probability with latency constraints can significantly impact the\noptimal power solutions for low SIR thresholds and favour orthogonal multiple\naccess (OMA).\n

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