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Hypercube interconnection in TWDM optical passive star networks

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3 Author(s)
Sang-Kyu Lee ; Dept. of Electr. Eng. & Comput. Sci., George Washington Univ., Washington, DC, USA ; A. D. Oh ; Hyeong-Ah Choi

This paper is concerned with optimal transmission schedules in a hypercube interconnection topology using the TWDM (time and wavelength division multiplexed) optical passive star network. Our model of the network consists of a set V of N nodes with N tunable transmitters and N fixed-tuned receivers (where each node is assigned a transmitter-receiver pair), k (=2b for an integer b) wavelengths (each wavelength is shared by N/k receivers where N/k is an integer), and tuning time δ>0 (in units of time slot, for transmitters to tune from one wavelength to another). We assume that N is equal to the number of nodes in the hypercube, and that at any given time slot at most one transmission can be done per wavelength. An optimal transmission schedule in a hypercube interconnection is defined to be the one that schedules transmissions such that for each node v of the hypercube, v transmits once to each of its neighboring nodes within a repeating cycle of minimum length. We first construct an embedding of the n-dimensional hypercube Qn in V such that for any node of Qn, its n neighboring nodes are evenly partitioned into b groups where each group shares a wavelength. Under this embedding, we then present an optimal or nearly optimal transmission schedule for each tuning time

Published in:

Massively Parallel Processing Using Optical Interconnections, 1995., Proceedings of the Second International Conference on

Date of Conference:

23-24 Oct 1995