Optimal Power Allocation for Fading Channels in Cognitive Radio Networks: Delay-Limited Capacity and Outage Capacity

In this paper, we study the optimal power allocation strategies to achieve the delay-limited capacity and outage capacity for fading channels in cognitive radio networks considering interference power constraint. The optimal power allocation to achieve delay-limited capacity is shown to be similar to channel inversion, and the derived delay-limited capacity is related to the channel statistics. Moreover, the optimal power allocation strategy to achieve the outage capacity is derived, and the corresponding minimum outage probability is evaluated for each fading scenario under the peak interference power constraint and the average interference power constraint respectively. Finally, the simulation results are presented to validate the proposed power allocation methods.

[1]  Shlomo Shamai,et al.  Fading Channels: Information-Theoretic and Communication Aspects , 1998, IEEE Trans. Inf. Theory.

[2]  David Tse,et al.  Multiaccess Fading Channels-Part II: Delay-Limited Capacities , 1998, IEEE Trans. Inf. Theory.

[3]  Michael Gastpar,et al.  On Capacity Under Receive and Spatial Spectrum-Sharing Constraints , 2007, IEEE Transactions on Information Theory.

[4]  Mohammad Ali Khojastepour,et al.  The capacity of average and peak power constrained fading channels with channel side information , 2004, 2004 IEEE Wireless Communications and Networking Conference (IEEE Cat. No.04TH8733).

[5]  仲上 稔,et al.  The m-Distribution As the General Formula of Intensity Distribution of Rapid Fading , 1957 .

[6]  Ying-Chang Liang,et al.  Exploiting Multi-Antennas for Opportunistic Spectrum Sharing in Cognitive Radio Networks , 2007, IEEE Journal of Selected Topics in Signal Processing.

[7]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[8]  Andrea J. Goldsmith,et al.  Capacity and optimal resource allocation for fading broadcast channels - Part I: Ergodic capacity , 2001, IEEE Trans. Inf. Theory.

[9]  Shuguang Cui,et al.  On Ergodic Sum Capacity of Fading Cognitive Multiple-Access and Broadcast Channels , 2008, IEEE Transactions on Information Theory.

[10]  Sonia Aïssa,et al.  Ergodic and Outage Capacities of Spectrum-Sharing Systems in Fading Channels , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[11]  Michael Gastpar On Capacity Under Received-Signal Constraints , 2004 .

[12]  Amir Ghasemi,et al.  Fundamental limits of spectrum-sharing in fading environments , 2007, IEEE Transactions on Wireless Communications.

[13]  Andrea J. Goldsmith,et al.  Capacity and Optimal Resource Allocation for Fading Broadcast Channels — Part II : Outage Capacity , 1998 .

[14]  Giuseppe Caire,et al.  Optimum power control over fading channels , 1999, IEEE Trans. Inf. Theory.

[15]  Pravin Varaiya,et al.  Capacity of fading channels with channel side information , 1997, IEEE Trans. Inf. Theory.

[16]  Shlomo Shamai,et al.  Information theoretic considerations for cellular mobile radio , 1994 .

[17]  Joseph Mitola,et al.  Cognitive radio: making software radios more personal , 1999, IEEE Wirel. Commun..

[18]  Bruno O. Shubert,et al.  Random variables and stochastic processes , 1979 .

[19]  Yonghong Zeng,et al.  Sensing-Throughput Tradeoff for Cognitive Radio Networks , 2008, IEEE Trans. Wirel. Commun..

[20]  Ying-Chang Liang,et al.  Subchannel grouping and statistical waterfilling for vector block-fading channels , 2006, IEEE Transactions on Communications.

[21]  Sergio VerdÂ,et al.  Fading Channels: InformationTheoretic and Communications Aspects , 2000 .

[22]  Ying-Chang Liang,et al.  Joint Beamforming and Power Allocation for Multiple Access Channels in Cognitive Radio Networks , 2008, IEEE Journal on Selected Areas in Communications.

[23]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[24]  Simon Haykin,et al.  Cognitive radio: brain-empowered wireless communications , 2005, IEEE Journal on Selected Areas in Communications.