On the Stability of Five Types of Slotted ALOHA Systems with Capture and Multiple Packet Reception

Katsumi SAKAKIBARA; Michiru HANAOKA; Yoshiharu YUBA

On the Stability of Five Types of Slotted ALOHA Systems with Capture and Multiple Packet Reception

Katsumi SAKAKIBARA, Michiru HANAOKA, Yoshiharu YUBA

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The stability of slotted ALOHA systems with various types of capture phenomena and multiple packet reception capability is discussed in conjunction with the cusp catastrophe. The slotted ALOHA systems considered are classified into; 1) single packet reception with geometric capture, 2) independent multiple packet reception with geometric capture, 3) single packet reception with M-out-of-N capture (M N), 4) multiple packet reception with M-out-of-N capture, and 5) single packet reception with perfect capture. First, general expressions for the cusp points and the bifurcation sets are derived. Then, we present explicit formula for the stability of slotted ALOHA systems for the five types of capture and multi-packet reception capability and demonstrate how the bistable behavior is mitigated due to capture effect and multi-packet reception capability.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.10 pp.2092-2100

Publication Date: 1998/10/25

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Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)

Category: Spread Spectrum System

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Katsumi SAKAKIBARA, Michiru HANAOKA, Yoshiharu YUBA, "On the Stability of Five Types of Slotted ALOHA Systems with Capture and Multiple Packet Reception" in IEICE TRANSACTIONS on Fundamentals, vol. E81-A, no. 10, pp. 2092-2100, October 1998, doi: .
Abstract: The stability of slotted ALOHA systems with various types of capture phenomena and multiple packet reception capability is discussed in conjunction with the cusp catastrophe. The slotted ALOHA systems considered are classified into; 1) single packet reception with geometric capture, 2) independent multiple packet reception with geometric capture, 3) single packet reception with M-out-of-N capture (M N), 4) multiple packet reception with M-out-of-N capture, and 5) single packet reception with perfect capture. First, general expressions for the cusp points and the bifurcation sets are derived. Then, we present explicit formula for the stability of slotted ALOHA systems for the five types of capture and multi-packet reception capability and demonstrate how the bistable behavior is mitigated due to capture effect and multi-packet reception capability.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e81-a_10_2092/_p

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@ARTICLE{e81-a_10_2092,
author={Katsumi SAKAKIBARA, Michiru HANAOKA, Yoshiharu YUBA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Stability of Five Types of Slotted ALOHA Systems with Capture and Multiple Packet Reception},
year={1998},
volume={E81-A},
number={10},
pages={2092-2100},
abstract={The stability of slotted ALOHA systems with various types of capture phenomena and multiple packet reception capability is discussed in conjunction with the cusp catastrophe. The slotted ALOHA systems considered are classified into; 1) single packet reception with geometric capture, 2) independent multiple packet reception with geometric capture, 3) single packet reception with M-out-of-N capture (M N), 4) multiple packet reception with M-out-of-N capture, and 5) single packet reception with perfect capture. First, general expressions for the cusp points and the bifurcation sets are derived. Then, we present explicit formula for the stability of slotted ALOHA systems for the five types of capture and multi-packet reception capability and demonstrate how the bistable behavior is mitigated due to capture effect and multi-packet reception capability.},
keywords={},
doi={},
ISSN={},
month={October},}

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TY - JOUR
TI - On the Stability of Five Types of Slotted ALOHA Systems with Capture and Multiple Packet Reception
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2092
EP - 2100
AU - Katsumi SAKAKIBARA
AU - Michiru HANAOKA
AU - Yoshiharu YUBA
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1998
AB - The stability of slotted ALOHA systems with various types of capture phenomena and multiple packet reception capability is discussed in conjunction with the cusp catastrophe. The slotted ALOHA systems considered are classified into; 1) single packet reception with geometric capture, 2) independent multiple packet reception with geometric capture, 3) single packet reception with M-out-of-N capture (M N), 4) multiple packet reception with M-out-of-N capture, and 5) single packet reception with perfect capture. First, general expressions for the cusp points and the bifurcation sets are derived. Then, we present explicit formula for the stability of slotted ALOHA systems for the five types of capture and multi-packet reception capability and demonstrate how the bistable behavior is mitigated due to capture effect and multi-packet reception capability.
ER -