Demonstration of Mathematics Theory of CSMA/CD Protocol

Luo Gui, Zhao Hai · Acta Automatica Sinica · 2007

The network based on CSMA/CD protocol has developed from single bus-type network to stacking-type network during long-time trial-and-error practice,but its uncertainty has not been solved essentially.In this paper,a theoretical foundation for resolving the uncertainty,is deduced from the angle of mathematics theory.By abstracting the mathematic model of stacking-type network,the structure of stacking-type network is proved to obey the theorem of power rate transition and to be better than the single bus-type network in that it has an exponentially convergent time-sensitivity.Furthermore,through analyzing the network capability of the network throughput and transmission efficiency,the model is evaluated.Finally the theoretical“however”of CSMA/CD is summarized and the applications of“convenience”of CSMA/CD in the embedded industrial control fields are widened.

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