Capacity in arbitrary wireless ad hoc networks with MIMO and power constraint

In this paper, we consider a general scenario where tphe wireless network is modeled as a rectangle with side lengths √n and n1/2−β, where 0 ≤ β ≤ 1/2 is a variance independent of n. n source-destination pairs are randomly located in the network, with their communication subject to the short-distance SNR, the long-distance SNR and the path loss. Based on these conditions, we identify the scaling laws of capacity for the network. The upper bound of the capacity is derived for the network, with the adoption of Multiple Input Multiple Output (MIMO) technology. Furthermore, we propose three different schemes, i.e., multihop, MIMO and hybrid schemes to achieve the upper bound. The capacity performance exhibits distinctive intriguing results as the side length of the network varies. Moreover, our results capture the impact of network shape on capacity and can unify the previous capacity results obtained in square networks.

[1]  Venkatesh Saligrama,et al.  Wireless Ad Hoc Networks: Strategies and Scaling Laws for the Fixed SNR Regime , 2006, IEEE Transactions on Information Theory.

[2]  Panganamala Ramana Kumar,et al.  RHEINISCH-WESTFÄLISCHE TECHNISCHE HOCHSCHULE AACHEN , 2001 .

[3]  Xiuzhen Cheng,et al.  Achievable transmission capacity of cognitive mesh networks with different media access control , 2012, 2012 Proceedings IEEE INFOCOM.

[4]  Yi Qin,et al.  Converge-cast with MIMO , 2011, 2011 Proceedings IEEE INFOCOM.

[5]  Yuguang Fang,et al.  Impacts of Topology and Traffic Pattern on Capacity of Hybrid Wireless Networks , 2009, IEEE Transactions on Mobile Computing.

[6]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .

[7]  Panganamala Ramana Kumar,et al.  A network information theory for wireless communication: scaling laws and optimal operation , 2004, IEEE Transactions on Information Theory.

[8]  Yuguang Fang,et al.  The Capacity of Heterogeneous Wireless Networks , 2010, 2010 Proceedings IEEE INFOCOM.

[9]  Ayfer Özgür,et al.  Hierarchical Cooperation Achieves Optimal Capacity Scaling in Ad Hoc Networks , 2006, IEEE Transactions on Information Theory.

[10]  Yunhao Liu,et al.  Topological detection on wormholes in wireless ad hoc and sensor networks , 2009, IEEE/ACM Transactions on Networking.

[11]  Mingyan Liu,et al.  The Effect of Node Density and Propagation Model on Throughput Scaling of Wireless Networks , 2006, 2006 IEEE International Symposium on Information Theory.

[12]  David Tse,et al.  Mobility increases the capacity of ad-hoc wireless networks , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

[13]  Massimo Franceschetti,et al.  On the throughput scaling of wireless relay networks , 2006, IEEE Transactions on Information Theory.

[14]  Zhen Liu,et al.  Capacity, delay and mobility in wireless ad-hoc networks , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).