Nonconcave Utility Maximisation in the MIMO Broadcast Channel

Brehmer, Johannes; Utschick, Wolfgang

doi:10.1155/2009/645041

Cited by 8 publications

(12 citation statements)

References 17 publications

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“…Thus, for some with . For the system performance function, we have (37) The strict inequality follows since is selected to be the largest value that gives equality in the set defined in (23). From (37) it is clear that any removed in the reduction (from below) will have a function value strictly below .…”

Section: Appendix Bmentioning

confidence: 99%

“…However, such problems can still be solved with global convergence and optimality using the framework of monotonic optimization, developed in [21] and [22]. The outer polyblock approximation is an algorithm in this framework [21], and applications to single-cell [23], [24] and multicell transmission [25]- [27] with perfect CSI have appeared in literature. Unfortunately, the polyblock algorithm requires a very large number of iterations to achieve accurate results, thus limiting usage to systems with no more than a handful of users [22].…”

Section: Introductionmentioning

confidence: 99%

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Robust Monotonic Optimization Framework for Multicell MISO Systems

Björnson

Zheng

Bengtsson

et al. 2012

IEEE Trans. Signal Process.

130

230

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The performance of multiuser systems is both difficult to measure fairly and to optimize. Most resource allocation problems are nonconvex and NP-hard, even under simplifying assumptions such as perfect channel knowledge, homogeneous channel properties among users, and simple power constraints. We establish a general optimization framework that systematically solves these problems to global optimality. The proposed branch-reduce-and-bound (BRB) algorithm handles general multicell downlink systems with single-antenna users, multiantenna transmitters, arbitrary quadratic power constraints, and robustness to channel uncertainty. A robust fairness-profile optimization (RFO) problem is solved at each iteration, which is a quasiconvex problem and a novel generalization of max-min fairness. The BRB algorithm is computationally costly, but it shows better convergence than the previously proposed outer polyblock approximation algorithm. Our framework is suitable for computing benchmarks in general multicell systems with or without channel uncertainty. We illustrate this by deriving and evaluating a zero-forcing solution to the general problem.

QC 20120525

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Section: Appendix Bmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust Monotonic Optimization Framework for Multicell MISO Systems

Björnson

Zheng

Bengtsson

et al. 2012

IEEE Trans. Signal Process.

130

230

View full text Add to dashboard Cite

QC 20120525

show abstract

“…The framework can be applied to other scenarios and systems as well. For example, it has been applied in [26] to the optimization of transmit strategies for the MISO broadcast channel, and later in [27] to the optimization problems for the MIMO broadcast channel.…”

Section: Discussionmentioning

confidence: 99%

Monotonic Optimization Framework for the Two-User MISO Interference Channel

Jorswieck

Larsson

2010

IEEE Trans. Commun.

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Abstract-Resource allocation and transmit optimization for the multiple-antenna Gaussian interference channel are important but difficult problems. The spatial degrees of freedom can be exploited to avoid, align, or utilize the interference. In recent literature, the upper boundary of the achievable rate region has been characterized. However, the resulting programming problems for finding the sum-rate, proportional fair, and minimax (egalitarian) operating points are non-linear and non-convex.In this paper, we develop a non-convex optimization framework based on monotonic optimization by outer polyblock approximation. First, the objective functions are represented in terms of differences of monotonic increasing functions. Next, the problems are reformulated as maximization of increasing functions over normal constraint sets. Finally, the idea to approximate the constraint set by outer polyblocks is explained and the corresponding algorithm is derived. Numerical examples illustrate the advantages of the proposed framework compared to an exhaustive grid search approach.

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“…Proposition 1 also suggests a practical heuristic approach for LD power optimization, namely through a sequence of weighted sum-power minimizations with weights based on the projected gradients of the objective functions f LD u (P u ), cf. [36] where a similar idea was applied for a rate-utility maximization problem. However, while in [36] a non-concave maximization was performed over the rate-region, here we face a concave minimization problem over the power-region.…”

Section: Definition 1 (Power-region)mentioning

confidence: 99%

“…[36] where a similar idea was applied for a rate-utility maximization problem. However, while in [36] a non-concave maximization was performed over the rate-region, here we face a concave minimization problem over the power-region.…”

Section: Definition 1 (Power-region)mentioning

confidence: 99%

Modeling and optimization of the line-driver power consumption in xDSL systems

Wolkerstorfer

Trautmann

Nordström

et al. 2012

EURASIP J. Adv. Signal Process.

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Optimization of the power spectrum alleviates the crosstalk noise in digital subscriber lines (DSL) and thereby reduces their power consumption at present. In order to truly assess the DSL system power consumption, this article presents realistic line driver (LD) power consumption models. These are applicable to any DSL system and extend previous models by parameterizing various circuit-level non-idealities. Based on the model of a class-AB LD we analyze the multi-user power spectrum optimization problem and propose novel algorithms for its global or approximate solution. The thereby obtained simulation results support our claim that this problem can be simplified with negligible performance loss by neglecting the LD model. This motivates the usage of established spectral optimization algorithms, which are shown to significantly reduce the LD power consumption compared to static spectrum management.

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Nonconcave Utility Maximisation in the MIMO Broadcast Channel

Cited by 8 publications

References 17 publications

Robust Monotonic Optimization Framework for Multicell MISO Systems

Robust Monotonic Optimization Framework for Multicell MISO Systems

Monotonic Optimization Framework for the Two-User MISO Interference Channel

Modeling and optimization of the line-driver power consumption in xDSL systems

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