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Recursive construction of FIFO optical multiplexers with switched delay lines

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3 Author(s)
Cheng-Shang Chang ; Inst. of Commun. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan ; Duan-Shin Lee ; Chao-Kai Tu

In this paper, we develop mathematical theory for recursive construction of first-in first-out (FIFO) optical multiplexers by the combination of (bufferless) crossbar switches and fiber delay lines (SDLs). We show that by cascading multistage SDL units, 2-to-1 multiplexers with a large buffer can be emulated exactly for both the departure process and the loss process from the multiplexer. Such results are extended to the case of n-to-1 multiplexers by introducing a new class of multiplexers, called delayed-loss multiplexers. A delayed-loss multiplexer has the same departure process as an ordinary multiplexer. However, lost packets due to buffer overflow in a multiplexer might be delayed. A key result from our theory is the self-routing n-to-1 multiplexer, where the routing path of a packet through the multistage SDL units can be determined upon its arrival.

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Information Theory, IEEE Transactions on  (Volume:50 ,  Issue: 12 )