Distributed Uplink Resource Allocation in Cognitive Radio Networks -- Part II: Equilibria and Algorithms for Joint Access Point Selection and Power Allocation

TL;DR

This paper develops a game-theoretic framework for joint access point selection and power allocation in multi-AP cognitive radio networks, providing equilibrium analysis and distributed algorithms for efficient spectrum sharing.

Contribution

It introduces a novel non-cooperative game model with discrete and continuous strategies for joint AP selection and power control, along with algorithms for distributed implementation.

Findings

Algorithms converge to Nash Equilibrium

Distributed approach achieves efficient spectrum sharing

Extensive simulations validate algorithm performance

Abstract

In the first part of this paper, we have studied solely the spectrum sharing aspect of the above problem, and proposed algorithms for the CUs in the single AP network to efficiently share the spectrum. In this second part of the paper, we build upon our previous understanding of the single AP network, and formulate the joint spectrum decision and spectrum sharing problem in a multiple AP network into a non-cooperative game, in which the feasible strategy of a player contains a discrete variable (the AP/spectrum decision) and a continuous vector (the power allocation among multiple channels). The structure of the game is hence very different from most non-cooperative spectrum management game proposed in the literature. We provide characterization of the Nash Equilibrium (NE) of this game, and present a set of novel algorithms that allow the CUs to distributively and efficiently select the suitable AP and share the channels with other CUs. Finally, we study the properties of the proposed algorithms as well as their performance via extensive simulations.