On the complexity of optical cross-connects under flat and recursive shared wave-mixing converters

Authors:
Haitham S. Hamza
Affiliations:
Department of Information Technology, Cairo University, Giza, Egypt
Venue:
IEEE Communications Letters
Year:
2010

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Abstract

Wave-mixing Optical Cross-Connects (WM-OXCs) reduce complexity by using bulk wavelength converters (BWCs) to simultaneously convert multiple distinct wavelength channels. This letter investigates the complexity of WM-OXCs under two BWCs sharing schemes, namely, the recursive and flat sharing. It is shown that: (1) recursive sharing requires at least twice as many converters as those used in an optimal OXC with single-channel converters, (2) flat sharing requires strictly less number of native converters compared to the optimal OXC when W log W/W-1 ≤ C ≤ W/2 (W is the number of wavelengths per fiber, and C is number of simultaneously converted channels per BWC).