The quickhull algorithm for convex hulls
ACM Transactions on Mathematical Software (TOMS)
Understanding digital subscriber line technology
Understanding digital subscriber line technology
Multi-Objective Optimization Using Evolutionary Algorithms
Multi-Objective Optimization Using Evolutionary Algorithms
DSL Advances
Crosstalk channel estimation via standardized two-port measurements
EURASIP Journal on Advances in Signal Processing
Spectrum balancing algorithms for power minimization in DSL networks
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
A fast and elitist multiobjective genetic algorithm: NSGA-II
IEEE Transactions on Evolutionary Computation
Distributed multiuser power control for digital subscriber lines
IEEE Journal on Selected Areas in Communications
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There are many spectrum balancing algorithms to combat the deleterious impact of crosstalk interference in digital subscriber lines (DSL) networks. These algorithms aim to find a unique operating point by optimizing the power spectral densities (PSDs) of the modems. Typically, the figure of merit of this optimization is the bit rate, power consumption or margin. This work poses and solves a different problem: instead of providing the solution for one specific operation point, it finds a set of operating points, each one corresponding to a distinct matrix with PSDs. This solution is useful for planning DSL deployment, for example, helping operators to conveniently evaluate their network capabilities and better plan their usage. The proposed method is based on a multiobjective formulation and implemented as an evolutionary genetic algorithm. Simulation results show that this algorithm achieves a better diversity among the operating points with lower computational cost when compared to an alternative approach.