The Structure of Interference Functions and Comprehensive Sets

  • Martin Schubert
  • Holger Boche
Part of the Foundations in Signal Processing, Communications and Networking book series (SIGNAL, volume 7)


In the previous chapters we have introduced and motivated the analysis of interference-coupled systems by means of SIR and QoS regions. Since the QoS is defined as a strictly monotone and continuous function (2.36), both QoS and SIR regions are bijective, i.e., they can be mapped into each other in such a way that the mapping can be inverted without loss of information. Thus, we can learn about the structure of QoS regions by studying the SIR region instead. Some properties of SIR regions have a direct relationship to properties of the QoS region. We will make use of this connection many times throughout this book. Examples of such properties are comprehensiveness (Subsection 2.6.2) and Pareto optimality (Subsection 4.5.3).


Convex Func Convex Comp 
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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Martin Schubert
    • Holger Boche

      There are no affiliations available

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