The design of a distributed erbium-doped fiber amplifier for a long distance transmission line is investigated, using a very accurate model. The design is evaluated for a bidirectional pumping scheme, taking nonlinearities into account. Bit error rates based on amplified spontaneous emission are calculated. For distances between each pumping station equal to 100 km, bit error rates lower than 10$+$MIN@10$/ at 4 Gbit/s are found.
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