On the instability of slotted Aloha with capture

Yingqun Yu, Xiaodong Cai, Georgios B Giannakis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

In this paper, we analyze the stability properties of slotted Aloha with capture for random access over fading channels when the number of users is very large. We consider the most commonly used power capture model, namely the one based on signal-to-interference-plus-noise ratio (SINK). Existing works have shown that for this model the capture capability silone can stabilize slotted Aloha, when the distribution of the received user power satisfies certain conditions. However, our analysis shows that as long as the received powers of all users are independent and identically distributed with finite mean, the system is unstable. We further establish that power or probability control based on decentralized channel state information (CSI) can not render an Infinite-user system stable.

Original languageEnglish (US)
Title of host publication2004 IEEE Wireless Communications and Networking Conference, WCNC 2004
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages728-732
Number of pages5
Volume2
ISBN (Print)0780383443
StatePublished - Sep 27 2004
Event2004 IEEE Wireless Communications and Networking Conference, WCNC 2004 - Atlanta, GA, United States
Duration: Mar 21 2004Mar 25 2004

Other

Other2004 IEEE Wireless Communications and Networking Conference, WCNC 2004
CountryUnited States
CityAtlanta, GA
Period3/21/043/25/04

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    Yu, Y., Cai, X., & Giannakis, G. B. (2004). On the instability of slotted Aloha with capture. In 2004 IEEE Wireless Communications and Networking Conference, WCNC 2004 (Vol. 2, pp. 728-732). Institute of Electrical and Electronics Engineers Inc..