Energy-efficient rate balancing in vector broadcast channels with linear transceivers

Utschick, Wolfgang

doi:10.1109/iswcs.2012.6328527

Cited by 6 publications

(4 citation statements)

References 39 publications

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“…Algorithms from the field of monotonic optimization have been previously applied in various communication scenarios, e.g., the polyblock method in [39]- [45] and the branch-and-bound method in [46]- [49].…”

Section: Related Literature and Remarks On The Complexitymentioning

confidence: 99%

Improper Signaling Versus Time-Sharing in the Two-User Gaussian Interference Channel With TIN

Utschick

2020

IEEE Trans. Inform. Theory

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So-called improper complex signals have been shown to be beneficial in the single-antenna two-user Gaussian interference channel under the assumptions that all input signals are Gaussian and that we treat interference as noise (TIN). This result has been obtained under a restriction to pure strategies without time-sharing, and it was extended to the case where the rates, but not the transmit powers, may be averaged over several transmit strategies. In this paper, we drop such restrictions and discuss the most general case of coded time-sharing, where both the rates and the powers may be averaged. Since coded time-sharing can in general not be expressed by means of a convex hull of the rate region, we have to account for the possibility of time-sharing already during the optimization of the transmit strategy.By means of a novel channel enhancement argument, we prove a surprising result: proper signals are optimal if coded time-sharing is allowed. In addition to establishing this result, we present an algorithm to compute the corresponding achievable rate region.

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Section: Related Literature and Remarks On The Complexitymentioning

confidence: 99%

Improper Signaling Versus Time-Sharing in the Two-User Gaussian Interference Channel With TIN

Utschick

2020

IEEE Trans. Inform. Theory

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“…In order to obtain such global solutions, researchers have applied methods from the field of monotonic optimization (e.g., [25]- [28]) to optimization problems in various communication systems. For instance, monotonic programming was applied in interference channels [7], [29]- [36], in broadcast channels with linear transceivers [11], [37]- [40], in interfering broadcast channels [41], in relaying scenarios [23], [34], and in satellite systems [42], with the aim of maximizing weighted sum rates [7], [29]- [31], [33], fairness-based performance metrics [32], [33], [36]- [38], [41], or the energy efficiency [23], [34], [35], [40] as well as minimizing the required sum transmit power [11], [39], [42]. Some of these applications include solutions for multiantenna systems [7], [11], [29], [30], [36]- [39], [41], allow to average data rates over several time slots [32], [33], [36], [37], [39], and/or incorporate additional robustness considerations [41].…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, some specialized solution methods developed for particular optimization problems can be identified to fall into the more general MMP framework. For instance, [40] exploited a structure with a fraction of nonnegative nondecreasing functions of a scalar variable, and [45], [46] consider an optimization in a two-user interference channel that can be identified to be a two-dimensional special case of the MMP framework. An implementation of the BRB algorithm for MMP problems can thus be readily applied to any of these special cases.…”

Section: Introductionmentioning

confidence: 99%

Mixed Monotonic Programming for Fast Global Optimization

Matthiesen

Jorswieck

Utschick

2020

IEEE Trans. Signal Process.

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While globally optimal solutions to convex programs can be computed efficiently in polynomial time, this is, in general, not possible for nonconvex optimization problems. Therefore, locally optimal approaches or other efficient suboptimal heuristics are usually applied for practical implementations. However, there is also a strong interest in computing globally optimal solutions of nonconvex problems in offline simulations in order to benchmark the faster suboptimal algorithms. Global solutions often rely on monotonicity properties. A common approach is to reformulate problems into a canonical form of a monotonic optimization problem, where the monotonicity becomes evident, but this often comes at the cost of nested optimizations, increased numbers of variables, and/or slow convergence. The framework of mixed monotonic programming (MMP) proposed in this paper is a more direct approach that exploits hidden monotonicity properties without performance-deteriorating reformulations. By means of a wide range of application examples from the area of signal processing for communications (including energy efficiency for green communications, resource allocation in interference networks, scheduling for fairness and quality of service, as well as beamformer design in multiantenna systems), we demonstrate that the novel MMP approach leads to tremendous complexity reductions compared to state-of-the-art methods for global optimization.Index Terms-Resource allocation, global optimization, interference networks, monotonic optimization, branch-and-bound 1 E.g., in multiple-input/multiple-output (MIMO) broadcast channels with dirty paper coding [6], or for rate balancing problems in multiple-input/single-output (MISO) interference channels with interference treated as noise [7].

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“…The presented method was able of reducing the normalization penalty among lines. The so-called rate balancing techniques can also be found in other scenarios [7] [8] [9] given the impact of this situation.…”

Section: Introductionmentioning

confidence: 99%

An Empirical Rate Balanced Alien Xtalk Mitigation Method for G.fast Systems

Gomes¹,

Filho²,

Carmona³

et al. 2016

Anais De XXXIV Simpósio Brasileiro De Telecomunicações

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The G.fast is the most recently DSL standard released by the ITU. The G.fast deployment environment is very noisy, in which several external interferences may impair the transmission. One of the most problematic interference source is the alien xtalk. Despite the difficult to mitigate this type of interference, there are some mitigation methods that reduce the impact of the alien xtalk over DSL systems. However, these methods present a setback that is to unbalance the transmission rates achieved by the coordinated lines. In this paper we propose an empirical method to achieve rate balancing simultaneously with alien xtalk mitigation. Additionally, we present a set of simulation results performed with cable measurements, that show the effectiveness of our method.

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Energy-efficient rate balancing in vector broadcast channels with linear transceivers

Cited by 6 publications

References 39 publications

Improper Signaling Versus Time-Sharing in the Two-User Gaussian Interference Channel With TIN

Improper Signaling Versus Time-Sharing in the Two-User Gaussian Interference Channel With TIN

Mixed Monotonic Programming for Fast Global Optimization

An Empirical Rate Balanced Alien Xtalk Mitigation Method for G.fast Systems

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