Background of Connector Scenario for Worst Case proposal Used Probability Density Function

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Background of Connector Scenario for Worst Case proposal Used Probability Density Function

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Background of Connector Scenario for Worst Case proposal Used Probability Density Function

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- In the Modeling for the specification of the 10GBit/s transmission on the 50µm multimode fiber was used the following statistics for the connector offsets:
(see Pepeljugoski et.al., JLT, Vol.21, No.5, May 2003, p.1256)

Rayleigh Distribution of connector offsets:

Mean value of 3,58µm,

Probability of exceeding 7µm offset is: 5%

This distribution is used for the current worst case model.

- The combination of short – long – short fibers with 4 connectors seems to be a standard application configuration
- The selected worst case should have a low but reasonable probability for the selected set of offsets.
- If one 7µm offset connector has p=0.05 than a set of 4 connectors with 7µm offset have the probability of
p= 0.054 = 6 x10-6 which is extremely low.

- Therefore we chose the offset of the second connector at a value where two connectors of the same offset have the probability of p=0.05,
- The third offset at the value for three connectors with same offset of p=0.05,
- And similar for the fourth offset.

Probability of 5%:

1 connector : offset 7 µm

2 connectors: offset 5 µm

3 connectors: offset 4 µm

4 connectors: offset 3,5µm

Overall probability of the

combination of one connector

of each offset:

P=0.05%