Abstract

This paper provides a social welfare framework for coexistence of secondary users of spectrum in the presence of static primary users. We consider a formulation that captures spatial differences in available spectrum while considering general system topologies and utility functions: a collection of wireless sessions is considered under an arbitrary conflict graph that indicates the sessions which cannot transmit simultaneously on a common channel. It is assumed that each session has a utility associated with its spectrum utilization. A carrier sense multiple access-based randomized channel selection technique is considered to maximize the resulting sum of utilities. A measurement-based gradient ascent method is used to improve the channel selection performance and to achieve local maxima of the social welfare. Distributed versions of the method are discussed and shown to outperform previously published work in a variety of simulation scenarios that study effects of primary user presence, varying secondary user density, varying total channel availability.

Highlights

  • Recent regulatory proceedings in wireless telecommunications offer tremendous potential for efficient spectrum usage via novel operational models of spectrum access

  • While isolation of primary users is challenging due to the cognitive capabilities imposed on the secondary users, yet another technical challenge arises in how the available spectrum can be shared among secondary users

  • Resolution of spectrum access can be addressed by cooperative techniques that are based on coordinative messaging, or by non-cooperative techniques that are based on an etiquette [2]

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Summary

Introduction

Recent regulatory proceedings in wireless telecommunications offer tremendous potential for efficient spectrum usage via novel operational models of spectrum access. The rest of this paper is organized as follows: Section 2 provides the considered model of secondary spectrum usage and formulates a social welfare optimization problem that is based on channel utilizations of involved parties. This problem is re-parameterized in Section 3 in a manner that is suitable for CSMA-based randomized channel access methods. We shall consider the case when each node adopts CSMA for medium access and probes the spectrum at random times. We shall assume that packet transmission times and timeout values are independent random variables This assumption implies that each node i probes the medium at instants of a Poisson clock with rate ri.

Necessary conditions for optimality in OPT
Conclusion

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