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Spectrum management has been identified as a crucial step towards enablingthe technology of a cognitive radio network (CRN). Most of the current worksdealing with spectrum management in the CRN focus on a single task of theproblem, e.g., spectrum sensing, spectrum decision, spectrum sharing orspectrum mobility. In this two-part paper, we argue that for certain networkconfigurations, jointly performing several tasks of the spectrum managementimproves the spectrum efficiency. Specifically, our aim is to study the uplinkresource management problem in a CRN where there exist multiple cognitive users(CUs) and access points (APs). The CUs, in order to maximize their uplinktransmission rates, have to associate to a suitable AP (spectrum decision), andto share the channels used by this AP with other CUs (spectrum sharing). Thesetasks are clearly interdependent, and the problem of how they should be carriedout efficiently and in a distributed manner is still open in the literature.

Distributed Uplink Resource Allocation in Cognitive Radio Networks -- Part I: Equilibria and Algorithms for Power Allocation