Emulation of an optical flexible delay line by parallel variable optical delay lines

Authors:
Duan-Shin Lee;Cheng-Shang Chang;Jay Cheng;Hung-Shih Chueh;Kuan-Ting` Wang
Affiliations:
Department of Electrical Engineering and the Institute of Communications Engineering, National Tsing Hua University, Hsinchu, Taiwan, RO.C.;Department of Electrical Engineering and the Institute of Communications Engineering, National Tsing Hua University, Hsinchu, Taiwan, RO.C.;Department of Electrical Engineering and the Institute of Communications Engineering, National Tsing Hua University, Hsinchu, Taiwan, RO.C.;Department of Electrical Engineering and the Institute of Communications Engineering, National Tsing Hua University, Hsinchu, Taiwan, RO.C.;Department of Electrical Engineering and the Institute of Communications Engineering, National Tsing Hua University, Hsinchu, Taiwan, RO.C.
Venue:
IEEE Communications Letters
Year:
2010

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Constructions of linear compressors, nonovertaking delay lines, and flexible delay lines for optical packet switching

IEEE/ACM Transactions on Networking (TON)

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Abstract

In this letter, we consider the discrete-time setting and propose a construction of an optical flexible delay line by parallel variable optical delay lines (VODLs) under a very simple packet routing scheme. We show that to exactly emulate an optical flexible delay line with maximum delay d (time slots), where d is a positive integer, it is necessary and sufficient to have at least ⌊(2d + 1)/3⌋ VODLs with maximum delay d (time slots) in our proposed architecture. We also show that under a uniform traffic model, the average number of busy VODLs is approximately d+ 1- (2d+ 1)(d/(d+1))d, which is quite close to our simulation result. Through simulations, we further show that if we can tolerate a loss probability of, say 10-3, then we only need at most 1.7 times of the average number of busy VODLs, which is much smaller than the worst-case bound ⌊(2d + 1) 3⌋.