Column Generation for Discrete-Rate Multi-User and Multi-Carrier Power Control

Wolkerstorfer, Martin; Jaldén, Joakim; Nordström, Tomas

doi:10.1109/tcomm.2012.070912.110444

Cited by 15 publications

(15 citation statements)

References 33 publications

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“…6] can in principle be applied instead, such as an exhaustive search [6], a subgradient search [21], or the ellipsoid method suggested in [31]. Altogether, we see that the optimization of AN jointly with the spectral transmit power allocation neatly integrates into previous DSM approaches, notably also into low-complexity heuristics as in [19] or [26], cf. Sect.…”

Section: Discussionmentioning

confidence: 80%

“…By weak-duality [2] we find that the suboptimality of the primal solutions for the original problem in (6a)-(6f) obtained by the application of the heuristic in [26] subsequent to our dual-optimal algorithm (cf. Line 7 in Algorithm 2) is below 10 −4 % in all the simulation results shown in this section.…”

Section: Simulation Results For Multiple Users and Fixed Marginsmentioning

confidence: 99%

“…targeting the maximization in (9a) (the "master problem"), where we use the LP based column-generation scheme proposed in [26]. Again we note that other algorithms for nondifferentiable optimization problems [2, Chap.…”

Section: Discussionmentioning

confidence: 99%

“…The Lagrange relaxation is motivated by the typically large number of subcarriers |K| which become independent in terms of the power allocation after the relaxation. The dual problem is, similarly as in [6,25,26] for the case without AN, defined as…”

Section: Performance Bound Computation For An-enabled Networkmentioning

confidence: 99%

“…We refer to Appendix A for a generic algorithm to solve the dual problem in (9a)-(9b). While there are numerous algorithmic options for approaching the maximization and minimization in (9a), our implementation relies on the schemes described in [25,26]. However, at its center is the problem specific LP in (7a)-(7d) which needs to be solved repeatedly for different rate allocations.…”

Section: Performance Bound Computation For An-enabled Networkmentioning

confidence: 99%

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Enabling greener DSL access networks by their stabilization with artificial noise and SNR margin

2012

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Low-power modes (LPM) are a standardized means in asymmetric digital subscriber lines (ADSL) 2 for reducing the power consumption at the central office. However, the activation of LPMs is hampered by the operators' concern for instability introduced by frequent transmit power changes. The injection of artificial noise (AN) has been proposed as a standard-compliant stabilization technique. We develop an analytical solution for setting the AN power spectrum. Based on this solution we jointly optimize the AN power spectrum and the signal-to-noise ratio (SNR) margin. Simulation results show the performance gain in terms of rate and energy compared to heuristic rules for setting the AN power spectrum. We propose and demonstrate three approaches for evaluating the performance of AN-enabled DSL systems, including (a) joint spectrum balancing, AN, and margin optimization, (b) single-user worstcase-stable optimization, and (c) worst-case-stable optimization based on sequential initialization. Simulation results confirm a strong dependency of the performance under AN on the selected SNR margins, and highlight the total AN power consumption as well as the residual energy savings under low-power modes stabilized by AN.

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Section: Discussionmentioning

confidence: 80%

Section: Simulation Results For Multiple Users and Fixed Marginsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Performance Bound Computation For An-enabled Networkmentioning

confidence: 99%

Section: Performance Bound Computation For An-enabled Networkmentioning

confidence: 99%

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