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See detailWeighted Fair Multicast Multigroup Beamforming under Per-antenna Power Constraints
Christopoulos, Dimitrios UL; Chatzinotas, Symeon UL; Ottersten, Björn UL

in Signal Processing, IEEE Transactions on (2014), 62(19), 5132-5142

A multi-antenna transmitter that conveys independent sets of common data to distinct groups of users is considered. This model is known as physical layer multicasting to multiple co-channel groups. In ... [more ▼]

A multi-antenna transmitter that conveys independent sets of common data to distinct groups of users is considered. This model is known as physical layer multicasting to multiple co-channel groups. In this context, the practical constraint of a maximum permitted power level radiated by each antenna is addressed. The per-antenna power constrained system is optimized in a maximum fairness sense with respect to predetermined quality of service weights. In other words, the worst scaled user is boosted by maximizing its weighted signal-to-interference plus noise ratio. A detailed solution to tackle the weighted max-min fair multigroup multicast problem under per-antenna power constraints is therefore derived. The implications of the novel constraints are investigated via prominent applications and paradigms. What is more, robust per-antenna constrained multigroup multicast beamforming solutions are proposed. Finally, an extensive performance evaluation quantifies the gains of the proposed algorithm over existing solutions and exhibits its accuracy over per-antenna power constrained systems. [less ▲]

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See detailWeighted Group Algebras on Groups of Polynomial Growth
Fendler, Gero; Gröchenig, Karlheinz; Leinert, Michael et al

in Mathematische Zeitschrift (2003), 245(4), 791-821

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See detailWeighted lattice polynomials
Marichal, Jean-Luc UL

in Discrete Mathematics (2009), 309(4), 814-820

We define the concept of weighted lattice polynomial functions as lattice polynomial functions constructed from both variables and parameters. We provide equivalent forms of these functions in an ... [more ▼]

We define the concept of weighted lattice polynomial functions as lattice polynomial functions constructed from both variables and parameters. We provide equivalent forms of these functions in an arbitrary bounded distributive lattice. We also show that these functions include the class of discrete Sugeno integrals and that they are characterized by a median based decomposition formula. [less ▲]

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See detailWeighted lattice polynomials
Marichal, Jean-Luc UL

in Proc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2006), Paris, France, July 2-7, 2006 (2006, July)

We define the concept of weighted lattice polynomials as lattice polynomials constructed from both variables and parameters. We provide equivalent forms of these functions in an arbitrary bounded ... [more ▼]

We define the concept of weighted lattice polynomials as lattice polynomials constructed from both variables and parameters. We provide equivalent forms of these functions in an arbitrary bounded distributive lattice. We also show that these functions include the class of discrete Sugeno integrals and that they are characterized by a remarkable median based decomposition formula. [less ▲]

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See detailThe weighted lattice polynomials as aggregation functions
Marichal, Jean-Luc UL

in Proc. 63rd Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 63) (2006, March)

We define the concept of weighted lattice polynomials as lattice polynomials constructed from both variables and parameters. We provide equivalent forms of these functions in an arbitrary bounded ... [more ▼]

We define the concept of weighted lattice polynomials as lattice polynomials constructed from both variables and parameters. We provide equivalent forms of these functions in an arbitrary bounded distributive lattice. We also show that these functions include the class of discrete Sugeno integrals and that they are characterized by a remarkable median based decomposition formula. [less ▲]

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See detailWeighted lattice polynomials of independent random variables
Marichal, Jean-Luc UL

in Discrete Applied Mathematics (2008), 156(5), 685-694

We give the cumulative distribution functions, the expected values, and the moments of weighted lattice polynomials when regarded as real functions of independent random variables. Since weighted lattice ... [more ▼]

We give the cumulative distribution functions, the expected values, and the moments of weighted lattice polynomials when regarded as real functions of independent random variables. Since weighted lattice polynomial functions include ordinary lattice polynomial functions and, particularly, order statistics, our results encompass the corresponding formulas for these particular functions. We also provide an application to the reliability analysis of coherent systems. [less ▲]

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See detailWeighted numbers: Commentary on “The Number Sense Represents (Rational) Numbers” by Sam Clarke and Jacob Beck
Marinova, Mila UL; Fedele, Marta; Reynvoet, Bert

in Behavioral and Brain Sciences (2021)

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See detailWeighted power variations of iterated Brownian motion
Nourdin, Ivan UL; Peccati, Giovanni UL

in Electronic Journal of Probability (2008), 13

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See detailWeighted Subspace Fitting for General Array Error Models
Jansson, Magnus; Swindlehurst, A. Lee; Ottersten, Björn UL

in IEEE Transactions on Signal Processing (1998), 46(9), 24842498

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See detailWeighted sum rate maximization for MIMO broadcast channels using dirty paper coding and zero-forcing methods
Le-Nam, Tran; Juntti, M.; Bengtsson, M. et al

in IEEE Transactions on Communications (2013), 6(61), 2362-2373

We consider precoder design for maximizing the weighted sum rate (WSR) of successive zero-forcing dirty paper coding (SZF-DPC). For this problem, the existing precoder designs often assume a sum power ... [more ▼]

We consider precoder design for maximizing the weighted sum rate (WSR) of successive zero-forcing dirty paper coding (SZF-DPC). For this problem, the existing precoder designs often assume a sum power constraint (SPC) and rely on the singular value decomposition (SVD). The SVD-based designs are known to be optimal but require high complexity. We first propose a low-complexity optimal precoder design for SZF-DPC under SPC, using the QR decomposition. Then, we propose an efficient numerical algorithm to find the optimal precoders subject to per-antenna power constraints (PAPCs). To this end, the precoder design for PAPCs is formulated as an optimization problem with a rank constraint on the covariance matrices. A well-known approach to solve this problem is to relax the rank constraints and solve the relaxed problem. Interestingly, for SZF-DPC, we are able to prove that the rank relaxation is tight. Consequently, the optimal precoder design for PAPCs is computed by solving the relaxed problem, for which we propose a customized interior-point method that exhibits a superlinear convergence rate. Two suboptimal precoder designs are also presented and compared to the optimal ones. We also show that the proposed numerical method is applicable for finding the optimal precoders for block diagonalization scheme. [less ▲]

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See detailWeighted Sum-SINR and Fairness Optimization for SWIPT-Multigroup Multicasting Systems with Heterogeneous Users
Gautam, Sumit UL; Lagunas, Eva UL; Sharma, Shree Krishna UL et al

in IEEE Open Journal of the Communications Society (2020)

The development of next generation wireless communication systems focuses on the expansion of existing technologies, while ensuring an accord between various devices within a system. In this paper, we ... [more ▼]

The development of next generation wireless communication systems focuses on the expansion of existing technologies, while ensuring an accord between various devices within a system. In this paper, we target the aspect of precoder design for simultaneous wireless information and power transmission (SWIPT) in a multi-group (MG) multicasting (MC) framework capable of handling heterogeneous types of users, viz., information decoding (ID) specific, energy harvesting (EH) explicit, and/or both ID and EH operations concurrently. Precoding is a technique well-known for handling the inter-user interference in multi-user systems, however, the joint design with SWIPT is not yet fully exploited. Herein, we investigate the potential benefits of having a dedicated precoder for the set of users with EH demands, in addition to the MC precoding. We study the system performance of the aforementioned system from the perspectives of weighted sum of signal-to-interference-plus-noise-ratio (SINR) and fairness. In this regard, we formulate the precoder design problems for (i) maximizing the weighted sum of SINRs at the intended users and (ii) maximizing the minimum of SINRs at the intended users; both subject to the constraints on minimum (non-linear) harvested energy, an upper limit on the total transmit power and a minimum SINR required to close the link. We solve the above-mentioned problems using distinct iterative algorithms with the help of semi-definite relaxation (SDR) and slack-variable replacement (SVR) techniques, following suitable transformations pertaining the problem convexification. The main novelty of the proposed approach lies in the ability to jointly design the MC and EH precoders for serving the heterogeneously classified ID and EH users present in distinct groups, respectively. We illustrate the comparison between the proposed weighted sum-SINR and fairness models via simulation results, carried out under various parameter values and operating conditions. [less ▲]

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See detail"... weil die meisten Comics einfach zu schwer sind!" - Zur Kategorie der Einfachheit beim Einsatz von Bandes dessinées im Fremdsprachenunterricht Französisch
Morys, Nancy UL

in Burwitz-Melzer, Eva; O´Sullivan, Emer (Eds.) Einfachheit in der Kinder- und Jugendliteratur - Ein Gewinn für den Fremdsprachenunterricht (2016, December 18)

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See detailThe Weil-Petersson metric and the renormalized volume of hyperbolic 3-manifolds
Krasnov, Kirill; Schlenker, Jean-Marc UL

in Handbook of Teichmüller theory. Volume III (2012)

Detailed reference viewed: 134 (1 UL)
See detailWeinhandel und Weinkonsum in der Stadt Luxemburg im 15. Jahrhundert
Pauly, Michel UL

Conference given outside the academic context (2017)

Detailed reference viewed: 96 (2 UL)
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See detail"Weisst Du auch, wie das auf Deutsch heisst?" Ethnographie der Mehrsprachigkeit in bilingualen Kindertagesstätten der Westschweiz
Brandenberg, Kathrin; Kuhn, Melanie; Neumann, Sascha UL et al

in Stenger, Ursula; Edelmann, Doris; Nolte, David (Eds.) et al Diversität in der Pädagogik der frühen Kindheit. Im Spannungsfeld zwischen Konstruktion und Normativität (2017)

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See detailWeiter springen durch selbstgesteuertes Techniktraining
Hillebrecht, Natascha; Bund, Andreas UL

in Sportpädagogik (2013), (2), 27-33

Detailed reference viewed: 121 (1 UL)
See detailDie Weiterbildung in der Sozialen Arbeit in Luxemburg - Bestandsaufnahme, Bedarf und Perspektiven
Dujardin, Céline UL

Scientific Conference (2015, October 22)

Detailed reference viewed: 71 (4 UL)
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See detailWeiterentwicklung eines mechanischen Modells zur Beschreibung Regen-Wind induzierter Schwingungen
Engel, Melanie; Zilian, Andreas UL; Dinkler, Dieter

in PAMM (2008), 8(1), 10883--10884

Detailed reference viewed: 160 (0 UL)
See detailDas Weiterleben der alten Kulte in Trier und Umgebung
Ghetta, Marcello UL

in Alexander Demandt und Josef Engemann (Hg.): Konstantin der Große (2007)

Detailed reference viewed: 57 (3 UL)