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M. Wolkerstorfer, C. Mecklenbräuker:
"Variational Inequality Approach to Spectrum Balancing in Vectoring xDSL Networks";
Talk: IEEE International Conference on Communications (ICC 2017), Paris, France; 05-21-2017 - 05-25-2017; in: "IEEE International Conference on Communications", IEEE (ed.); (2017), 7 pages.

We study the multi-user and multi-carrier power allocation (spectrum balancing) problem in digital subscriber line (DSL) networks under inter-carrier and inter-user interference
as well as self-interference. The key assumption of this work is that we do not have knowledge of the interference coefficients, but only have access to the total per-line interference noise power. Furthermore, lines may support different technologies or be part of linear crosstalk cancellation (Vectoring) groups, which implies coupling among lines through per-transceiver sum-power and spectral mask constraints. We propose a novel generalized Nash equilibrium formulation for spectrum balancing in a virtual network with modified selfinterference coefficients and an associated variational inequality problem. The latter allows for intuitive analytical criteria for algorithms´ convergence to a unique solution in the virtual network as well as in the real network, related to the sum of interference coefficients. Exemplarily a fully autonomous projected gradient algorithm is proposed which requires no information exchange among Vectoring groups and obeys transmit power limitations throughout its run-time. The applicability of the proposed framework is demonstrated by testing this algorithm on two previously studied power allocation problems in Vectoring G.fast networks.

http://publik.tuwien.ac.at/files/publik_265263.pdf

Project Head Christoph Mecklenbräuker:
Copper Optical Network Evolution