Unique coverage in Boolean models

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• 作者：M. Haenggi^a ; ^{mhaenggi@nd.edu} ; A. Sarkar^b ; ^{amites.sarkar@wwu.edu}
• 关键词：Coverage ; Poisson process ; Boolean model ; Cellular network
• 刊名：Statistics & Probability Letters
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：123
• 期：Complete
• 页码：1-7
• 全文大小：459 K
• 卷排序：123

文摘

Consider a wireless cellular network consisting of small, densely scattered base stations. A user uu is uniquely covered   by a base station bb if uu is the only user within distance rr of bb. This makes it possible to assign the user uu to the base station bb without interference from any other user u′u′. We investigate the maximum possible proportion of users who are uniquely covered. We solve this problem completely in one dimension and provide bounds, approximations and simulation results for the two-dimensional case.