Modeling and performance analysis of multihop packet radio networks

1987 ◽  
Vol 75 (1) ◽  
pp. 135-155 ◽  
Author(s):  
F.A. Tobagi
2000 ◽  
Vol 10 (03n04) ◽  
pp. 159-171
Author(s):  
KHAIRI ASHOUR MOHAMED ◽  
LÁSZLÓ PAP

This paper is concerned with the performance analysis of frequency-hopped packet radio networks with random spatial distribution of users. Depending on their relative energies, hits may either cause errors, erasures, or be ineffective. Combined error and erasure Reed Solomon decoding is used. Two types of hopping patterns are considered, namely random and one-coincidence patterns. Using a novel technique of the joint probability generating functions of the so called effective interference vectors, general closed form expressions for packet capture probabilities are derived. Numerical results indicate that, depending on the coding rate and traffic levels, larger values of the throughput can be achieved by using either error only or erasure only decoding.


1996 ◽  
Vol 06 (05) ◽  
pp. 453-474
Author(s):  
KHAIRI ASHOUR MOHAMED ◽  
LÁSZLÓ PAP

This paper is concerned with the performance analysis of unslotted frequency-hopped spread spectrum packet radio networks with Reed-Solomon forward error control coding. The following different network alternatives are analyzed in a unified manner (i) random/one-coincidence frequency hopping patterns, (ii) one/several code symbols per dwell interval, (iii) independent/dependent packet arrival processes, (iv) fixed/variable length packets. Joint probability generating functions for the pair-wise hit patterns and the effective multiple-access interference vector are determined for the different alternatives. Closed form formulae and expressions for packet capture probabilities are readily obtained from these generating functions. A direct proof is given that in the case of single symbol/dwell packets symbol errors, are asymptotically independent. Numerical results indicate that the unslotted networks outperform the corresponding slotted ones at low to moderate traffic levels, and the difference between the two networks is diminishing when the number of frequency bins is large.


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