期刊
IEEE WIRELESS COMMUNICATIONS LETTERS
卷 6, 期 1, 页码 130-133出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LWC.2016.2641935
关键词
Stochastic geometry; Thomas cluster process; contact distance; nearest-neighbor distance.
资金
- U.S. National Science Foundation [CCF-1464293, CNS-1617896, IIS-1633363]
- Division of Computing and Communication Foundations
- Direct For Computer & Info Scie & Enginr [1464293] Funding Source: National Science Foundation
We characterize the statistics of nearest-neighbor and contact distance distributions for Thomas cluster process (TCP), which is a special case of Poisson cluster process. In particular, we derive the cumulative distribution function of the distance to the nearest point of TCP from a reference point for three different cases: 1) reference point is not a part of the point process; 2) it is chosen uniformly at random from the TCP; and 3) it is a randomly chosen point from a cluster chosen uniformly at random from the TCP. While the first corresponds to the contact distance distribution, the other two provide two different viewpoints for the nearest-neighbor distance distribution. Closedform bounds are also provided for the first two cases.
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