Abstract
Based on the analysis of the operation of networks IEEE 802.11 DCF, a function is proposed for determining the probability of frame transmission to a central node depending on the number of stations operating in saturation mode. The probabilities of collisions are calculated. Using a polynomial approximations an expression is obtained for the network throughput, which explicitly depends on the number of the simultaneously operating stations.
Highlights
Wireless networks with infrastructure topology of IEEE 802.11 standard are intensity developed
The high level of electromagnetic interference, which is characteristic for these industrial premises, leads to a distortion of a significant number of frames moving from peripheral stations to the central node
At the same time it is useful for engineering calculations to have analytical expressions for explicitly calculations the probability of collisions and the network throughput based on this, depending on the number of stations operating in saturation mode
Summary
Wireless networks with infrastructure topology of IEEE 802.11 standard are intensity developed. As can be seen from expressions (1) and (2) the dependence of the collision probability p on the number of simultaneously operating stations n at a given initial window width W0 can be obtained only by rather cumbersome numerical calculations. At the same time it is useful for engineering calculations to have analytical expressions for explicitly calculations the probability of collisions and the network throughput based on this, depending on the number of stations operating in saturation mode. The collision probability, defined by expression (2), for fixed values N and W0, depends only on the number of operating stations. When operating a wireless network in a production environment with a high level of electromagnetic interference due to operating equipment, parameter BER (Bit Error Rate) [4] can reach BER = 10-3...10-4 Under these conditions, it is advisable to limit N to 20 (N = 20). Η is the number of the empty slots; σ is the slot duration; Ts and Tc are the average times the channel is busy because of successful transmission and collision correspondingly
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