On the path-loss attenuation regime for positive cost and linear scaling of transport capacity in wireless networks

doi:10.1109/TIT.2006.874519

	On the path-loss attenuation regime for positive cost and linear scaling of transport capacity in wireless networks
	Xie, LL ; Kumar, PR
刊名	IEEE TRANSACTIONS ON INFORMATION THEORY
	2006-06-01
卷号	52 期号:6 页码:2313-2328
关键词	ad hoc networks capacity of wireless networks cut-set bound max-flow min-cut bound multiuser information theory network information theory scaling laws transport capacity wireless networks
ISSN号	0018-9448
DOI	10.1109/TIT.2006.874519
英文摘要	Wireless networks with a minimum inter-node separation distance are studied where the signal attenuation grows in magnitude as 1/p delta, with distance p. Two performance measures of wireless networks are analyzed. The transport capacity is the supremum of the total distance-rate products that can be supported by the network. The energy cost of information transport is the infimum of the ratio of the transmission energies used by all the nodes to the number of bit-meters of information thereby transported. If the phases of the attenuations between-node pairs are uniformly and independently distributed, it is shown that the expected transport capacity is upper-bounded by a multiple of the total of the transmission powers of all the nodes, whenever delta > 2 for two-dimensional networks or delta > 5/4 for one-dimensional networks, even if all the nodes have full knowledge of all the phases, i.e., full channel state information. If all nodes have an individual power constraint, the expected transport capacity grows at most linearly in the number of nodes due to the linear growth of the total power. This establishes the best case order of expected transport capacity for these ranges of Oath-loss exponents since linear scaling is also feasible. If the phases of the attenuations are arbitrary, it is shown that the transport capacity is upper-bounded by a multiple of the total transmission power whenever delta > 5/2 for two-dimensional networks or delta > 3/2 for one-dimensional networks, even if all the nodes have full channel state information. This shows that there is indeed a positive energy cost which is no less than the reciprocal of the above multiplicative constant. It narrows the transition regime where the behavior is still open, since it is known that when delta < 3/2 for two-dimensional networks, or delta < 1 for one-dimensional networks, the transport capacity cannot generally be bounded by any multiple of the total transmit power.
WOS研究方向	Computer Science ; Engineering
语种	英语
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000238319400004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/3818]
专题	中国科学院数学与系统科学研究院
通讯作者	Xie, LL
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Univ Illinois, Coordinated Sci Lab, Urbana, IL 61801 USA
推荐引用方式 GB/T 7714	Xie, LL,Kumar, PR. On the path-loss attenuation regime for positive cost and linear scaling of transport capacity in wireless networks[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2006,52(6):2313-2328.
APA	Xie, LL,&Kumar, PR.(2006).On the path-loss attenuation regime for positive cost and linear scaling of transport capacity in wireless networks.IEEE TRANSACTIONS ON INFORMATION THEORY,52(6),2313-2328.
MLA	Xie, LL,et al."On the path-loss attenuation regime for positive cost and linear scaling of transport capacity in wireless networks".IEEE TRANSACTIONS ON INFORMATION THEORY 52.6(2006):2313-2328.