On decoding the kth strongest user in poisson networks with arbitrary fading distribution

Abstract

Consider a d-dimensional network whose transmitters form a non-uniform Poisson point process and whose links are subject to arbitrary fading. Assuming interference from the k − 1 strongest users is canceled, we derive the probability of decoding the k-th strongest user in closed-form. As a special case, when k = 1, this probability is the standard coverage probability.This analytical result has immediate applications in networks with successive interference cancellation (SIC) capability. We use it to find closed-form upper and lower bounds on the probability of decoding at least k users and the mean number of successively decodable users. These bounds show that transmitter clustering is beneficial in exploiting SIC.

Statistical modeling and analysis of interference in wireless networks

“…It is worthwhile to note that (5.17) is independent of µ j . This is in line with [129,130] where the authors prove that the probability to successfully cancel at least n interferers is scale invariant with respect to the density as long as the analysis is restricted to the power-law density case.…”

“…In [125], closed-form expressions are presented for the outage probability accounting for the order statistics, assuming that all interferers are at the same distance from the intended receiver, while [128] derives a lower bound of the outage probability based on the order statistics of the strongest uncanceled and partially canceled signals accounting for distance and fading. Very recently, some excellent contributions can be found that explicitly include both the topology and the fading effects in the description of sum of order statistics of the received signal power [129][130][131][132], yet, these models limit the analysis to single-tier networks.…”

Energy Efficiency of Distributed Signal Processing in Wireless Networks: A Cross-Layer Analysis

“…Multi-user decoding increases the rate but comes at the cost of a higher decoding energy consumption due to the multiple decoding attempts. The performance of MD depends on the order statistics of the received signal power, which in turn is affected by the spatial distribution of the transmitting nodes and on the propagation channel conditions [55], [56]. Consistently with previous work [57]- [59], we consider perfect interference cancellation.…”

Coverage Analysis of Heterogeneous Wireless Network with n-Interacted Transmission Nodes

“…The strategies proposed in literature to improve the SINR are broadly classified as network cooperation (NC) and interference cancelation (IC) (Akoum, 2010;Giovanidis, 2014;Zhang, 2013a;Zhang,2012;Zhang,2013b;Wildemeersch,2014).WithNCbasedstrategies,significant improvementinSINRisbeingachievedbycombiningsignalsof'n'strongesttransmitterstoserve singleuser (Akoum,2010;Giovanidis,2014;Zhang,2013a).ALaplacetechniquebasedmathematical modelforcoverageprobabilityanalysisunderstochasticgeometry-basedcooperationstrategiesis beingdevelopedin (Giovanidis&Baccelli,2014).WithICbasedstrategies,theservicingnodewith strongestreceivedsignalstrength,cancelsthe(n-1)subsequentstrongestinterferingsignals.With thesestrategies,significantimprovementincoverageprobabilityhasbeenregisteredinHetNet (Zhang, 2012;Zhang,2013b;Wildemeersch,2014).…”