Optimal Power Allocation for Fading Channels in Cognitive Radio Networks: Ergodic Capacity and Outage Capacity
Xin Kang, Ying-Chang Liang, Arumugam Nallanathan, Hari Krishna Garg,, and Rui Zhang

TL;DR
This paper investigates optimal power allocation strategies in cognitive radio networks to maximize ergodic and outage capacities, considering various power constraints and fading models, revealing capacity gains under certain constraints.
Contribution
It introduces a comprehensive analysis of power allocation in spectrum sharing CRNs under diverse constraints and fading conditions, highlighting capacity improvements.
Findings
Capacity gain under average power constraints
Fading can enhance SU channel capacities
Optimal strategies depend on power constraint types
Abstract
A cognitive radio network (CRN) is formed by either allowing the secondary users (SUs) in a secondary communication network (SCN) to opportunistically operate in the frequency bands originally allocated to a primary communication network (PCN) or by allowing SCN to coexist with the primary users (PUs) in PCN as long as the interference caused by SCN to each PU is properly regulated. In this paper, we consider the latter case, known as spectrum sharing, and study the optimal power allocation strategies to achieve the ergodic capacity and the outage capacity of the SU fading channel under different types of power constraints and fading channel models. In particular, besides the interference power constraint at PU, the transmit power constraint of SU is also considered. Since the transmit power and the interference power can be limited either by a peak or an average constraint, various…
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