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Simon Gortzen - IEEE Xplore Author Profile

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In this paper, dual methods based on Lagrangian relaxation for multiuser multicarrier resource allocation problems are analyzed. Their application to non-convex resource allocation problems is based on results guaranteeing asymptotic optimality as the number of subcarriers tends to infinity. This work analyzes the workings and performance of dual methods for resource allocation problems with conca...Show More
Various system tasks like interference coordination, handover decisions, admission control etc. in upcoming cellular networks require precise mid-term (spanning over a few seconds) performance models. Due to channel-dependent scheduling at the base station, these performance models are not simple to obtain. Furthermore, upcoming cellular systems will be interference-limited, hence, the way interfe...Show More
Emerging machine-to-machine communication scenarios are envisioned to deal with more stringent quality-of-service demands. This relates mainly to outage and latency requirements, which are for example for safety-critical messages quite different than for traditional applications. On the other hand, it is widely accepted that machine-to-machine communication systems need to be energy-efficient beca...Show More
Dual methods based on Lagrangian relaxation are the state of the art to solve multiuser multicarrier resource allocation problems. This applies to concave utility functions as well as to practical systems employing adaptive modulation, in which users' data rates can be described by step functions. We show that this discrete resource allocation problem can be formulated as an integer linear program...Show More
In this paper, we show that arbitrary hierarchical pulse amplitude modulation (PAM) schemes can be fully described by generalized Cantor sets. Generalized Cantor sets are modified versions of the Cantor ternary set, a famous mathematical construct known for its set-theoretical properties. The fractal nature of generalized Cantor sets allow for a natural reinterpretation as a modulation scheme. The...Show More
This paper introduces a theoretical framework for subcarrier and power allocation algorithms in rate-adaptive OFDMA systems. The focal point is locating “capacity-achieving” waterlevels for a given allocation in order to minimize the distance to the boundary of the capacity region. We prove that it is possible to restrict the choice of waterlevels to an optimality polyhedron. This paper introduces...Show More