Spatial correlation modeling and ergodic capacity analysis of networks with overlapping conflict

Abstract

The fifth generation (5G) network development trends (e.g., more cells, larger and distributed antenna arrays, higher frequency spectrum) and new technologies are driving beyond 5G (B5G) and even sixth generation (6G) research together. In existing works, performance analysis is based on typical users, but no user is typical, because of spatial correlation in the scheduling of transmission points (TPs) caused by overlapping conflict between the different transmission point groups (TPGs). Using stochastic geometry, this article analyzes ergodic capacity of entire network by deriving the semiclosed form expression of area spectral efficiency (ASE), where Matérn-like model is proposed to capture the spatial correlation of overlapping conflict. Specifically, the serving probability of TP is lower to avoid intense overlapping conflict in heavily overlapping region, thanks to Matérn-like model requires that only one TP with best channel condition be in serving within the same TPG. In addition, considering different serving probabilities of TPs, user performance is nonindependent, thus ASE could more accurately characterize the overall level of user performance by traversing nonindependent user performance. Simulation and analytical results show that ASE considering spatial correlation can more accurately fit the overall performance of networks with overlapping conflict.

Spatiotemporal correlation and joint coverage probability in ultra‐dense mobile networks

“…With traditional handoff, E[g(l 1 )] and E[g 2 (l 1 )] are the same as those given in ( 9) and (10), respectively. In addition, E[g(l 2 )], E[g 2 (l 2 )], and E[g(l 1 )g(l 2 )] are given in (11), (12), and (13). (6), and f l (l) is given in (4), the temporal correlation coefficient of the signal received by the typical user with handoff skipping is derived in (14).…”

“…The expressions of network performance metrics are analyzed in ultra‐dense heterogeneous networks. However, network densification and aggressive spatial frequency reuse in UDN will lead to severe interference in the network 13 . The performance of wireless networks is fundamentally limited by aggregate interference, which depends on the spatial distributions of the interferers, channel conditions, and user traffic patterns.…”

“…However, network densification and aggressive spatial frequency reuse in UDN will lead to severe interference in the network. 13 The performance of wireless networks is fundamentally limited by aggregate interference, which depends on the spatial distributions of the interferers, channel conditions, and user traffic patterns. These factors usually exhibit spatial and temporal correlations.…”

Potential of sixth‐generation technologies for emerging future wireless networks

“…Using stochastic geometry, the contribution by Chen et al "Spatial correlation modeling and ergodic capacity analysis of networks with overlapping conflict" analyzes ergodic capacity of entire network by deriving the semiclosed form expression of area spectral efficiency (ASE), where Matérn-like model is proposed to capture the spatial correlation of overlapping conflict. 3 Specifically, the serving probability of TP is lower to avoid intense overlapping conflict in heavily overlapping region, thanks to Matérn-like model requires that only one TP with best channel condition be in serving within the same TPG. In addition, considering different serving probabilities of TPs, user performance is nonindependent, thus ASE could more accurately characterize the overall level of user performance by traversing nonindependent user performance.…”

“…In the existing works, performance analysis is based on typical users, but no user is typical, because of spatial correlation in the scheduling of transmission points (TPs) caused by overlapping conflict between the different transmission point groups (TPGs). Using stochastic geometry, the contribution by Chen et al “Spatial correlation modeling and ergodic capacity analysis of networks with overlapping conflict” analyzes ergodic capacity of entire network by deriving the semiclosed form expression of area spectral efficiency (ASE), where Matérn‐like model is proposed to capture the spatial correlation of overlapping conflict 3 . Specifically, the serving probability of TP is lower to avoid intense overlapping conflict in heavily overlapping region, thanks to Matérn‐like model requires that only one TP with best channel condition be in serving within the same TPG.…”