Stability of a slotted ALOHA system with capture effect

Author

Onozato, Yoshikuni ; Liu, Jin ; Noguchi, Shoichi

Author_Institution

Dept. of Commun. & Syst., Univ. of Electro-Commun., Chofu, Tokyo, Japan

Volume

38

Issue

1

fYear

1989

fDate

2/1/1989 12:00:00 AM

Firstpage

31

Lastpage

36

Abstract

The stability of a slotted ALOHA system with capture effect is investigated under a general communication environment where terminals are divided into two groups (low-power and high-power) and the capture effect is modeled by capture probabilities. An approximate analysis is developed using catastrophe theory in which the effects of system and user parameters on the stability are characterized by the cusp catastrophe. In particular, the authors focus on the low-power group, since it must bear the strain under the capture effect. The stability conditions of the two groups are given explicitly by bifurcation sets

Keywords

catastrophe theory; packet switching; protocols; radiocommunication; stability; bifurcation sets; capture effect; capture probabilities; catastrophe theory; cusp catastrophe; general communication environment; low-power group; packet switching; protocols; slotted ALOHA system; stability; Bifurcation; Capacitive sensors; Delay; Fading; Information theory; Power system modeling; Protocols; Random variables; Stability analysis; Throughput;

fLanguage

English

Journal_Title

Vehicular Technology, IEEE Transactions on

Publisher

ieee

ISSN

0018-9545

Type

jour

DOI

10.1109/25.31132

Filename

31132