Closed-Form Analysis of Relay-Based Cognitive Radio Networks Over Nakagami- $m$ Fading Channels

We propose a general framework for a comprehensive performance analysis of cooperative spectrum sensing (CSS) in cognitive radio (CR) networks. Specifically, we investigate the detection accuracy of a relay-based CR network over independent nonidentical Nakagami- m fading channels. Based on the probability density function (pdf) approach, we derive new exact and approximated closed-form expressions for the average detection probability and the average false alarm probability employing two diversity combining techniques, namely, the maximal ratio combining (MRC) scheme and the selection combining (SC) scheme. We also investigate the convergence rate of infinite series that appears in the derived exact closed-form expressions and propose to use a powerful acceleration algorithm that allows for the series termination with a finite number of terms. The results obtained reveal the importance of including the relaying link statistics and the combination techniques in the performance analysis of CR networks. The derived closed-form expression can be used to determine the energy threshold and the relaying power constraint that meet a given detection accuracy value over nonidentically distributed Nakagami- m fading.

[1]  Ian F. Akyildiz,et al.  Optimal spectrum sensing framework for cognitive radio networks , 2008, IEEE Transactions on Wireless Communications.

[2]  Joseph Lipka,et al.  A Table of Integrals , 2010 .

[3]  Fabrizio Granelli,et al.  Performance Optimisation of Soft and Hard Spectrum Sensing Schemes in Cognitive Radio , 2012, IEEE Communications Letters.

[4]  Mazen O. Hasna,et al.  A performance study of dual-hop transmissions with fixed gain relays , 2004, IEEE Transactions on Wireless Communications.

[5]  Mehul Motani,et al.  Cooperative Spectrum Sensing Strategies for Cognitive Radio Mesh Networks , 2011, IEEE Journal of Selected Topics in Signal Processing.

[6]  M. Nakagami.  The m-Distribution—A General Formula of Intensity Distribution of Rapid Fading , 1960 .

[7]  W. N. Venables,et al.  Permanent Expressions for Order Statistic Densities , 1972 .

[8]  Sattar Hussain,et al.  Approach for cluster-based spectrum sensing over band-limited reporting channels , 2012, IET Commun..

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

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

[11]  George K. Karagiannidis,et al.  Performance analysis of single relay selection in rayleigh fading , 2008, IEEE Transactions on Wireless Communications.

[12]  Mohamed-Slim Alouini,et al.  Digital Communication over Fading Channels: Simon/Digital Communications 2e , 2004 .

[13]  R. Kwan,et al.  Selection diversity in non-identically distributed Nakagami fading channels , 2005, IEEE/Sarnoff Symposium on Advances in Wired and Wireless Communication, 2005..

[14]  Ian F. Akyildiz,et al.  CRAHNs: Cognitive radio ad hoc networks , 2009, Ad Hoc Networks.

[15]  Feifei Gao,et al.  Improved Cooperative Spectrum Sensing in Cognitive Radio , 2008, VTC Spring 2008 - IEEE Vehicular Technology Conference.

[16]  Wei Zhang,et al.  Cooperative spectrum sensing with transmit and relay diversity in cognitive radio networks - [transaction letters] , 2008, IEEE Transactions on Wireless Communications.

[17]  Cyril Leung,et al.  General Order Selection Combining for Nakagami and Weibull Fading Channels , 2007, IEEE Transactions on Wireless Communications.

[18]  Yichen Wang,et al.  Delay and Throughput Oriented Continuous Spectrum Sensing Schemes in Cognitive Radio Networks , 2012, IEEE Transactions on Wireless Communications.

[19]  Geoffrey Ye Li,et al.  Soft Combination and Detection for Cooperative Spectrum Sensing in Cognitive Radio Networks , 2008, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[20]  R. M. A. P. Rajatheva,et al.  Energy Detection of Unknown Signals in Fading and Diversity Reception , 2011, IEEE Transactions on Communications.

[21]  Shuguang Cui,et al.  Optimal Linear Cooperation for Spectrum Sensing in Cognitive Radio Networks , 2008, IEEE Journal of Selected Topics in Signal Processing.

[22]  Jun Wang,et al.  Cooperative Spectrum Sensing with Multi-Bits Local Sensing Decisions in Cognitive Radio Context , 2008, 2008 IEEE Wireless Communications and Networking Conference.

[23]  Fortunato Santucci,et al.  A comprehensive framework for performance analysis of dual-hop cooperative wireless systems with fixed-gain relays over generalized fading channels , 2009, IEEE Transactions on Wireless Communications.

[24]  Sattar Hussain,et al.  Cooperative Cognitive Radio Networks: New Approach for Detection Accuracy Analysis Under Impaired Channels , 2013, Wirel. Pers. Commun..

[25]  Gregory W. Wornell,et al.  Energy-efficient antenna sharing and relaying for wireless networks , 2000, 2000 IEEE Wireless Communications and Networking Conference. Conference Record (Cat. No.00TH8540).

[26]  Ying-Chang Liang,et al.  Optimization for Cooperative Sensing in Cognitive Radio Networks , 2007, 2007 IEEE Wireless Communications and Networking Conference.

[27]  Fortunato Santucci,et al.  Cooperative Spectrum Sensing over Correlated Log-Normal Sensing and Reporting Channels , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[28]  Hai Jiang,et al.  Performance of an Energy Detector over Channels with Both Multipath Fading and Shadowing , 2010, IEEE Transactions on Wireless Communications.

[29]  Fortunato Santucci,et al.  Distributed data fusion over correlated log-normal sensing and reporting channels: Application to cognitive radio networks , 2009, IEEE Transactions on Wireless Communications.

[30]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[31]  Yiwei Thomas Hou,et al.  Toward secure distributed spectrum sensing in cognitive radio networks , 2008, IEEE Communications Magazine.

[32]  Zhongding Lei,et al.  IEEE 802.22: The first cognitive radio wireless regional area network standard , 2009, IEEE Communications Magazine.

[33]  Geoffrey Ye Li,et al.  Cooperative Spectrum Sensing in Cognitive Radio, Part II: Multiuser Networks , 2007, IEEE Transactions on Wireless Communications.

[34]  H Arslan,et al.  Cognitive-Radio Systems for Spectrum, Location, and Environmental Awareness , 2010, IEEE Antennas and Propagation Magazine.

[35]  R.W. Brodersen,et al.  Implementation issues in spectrum sensing for cognitive radios , 2004, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004..

[36]  A. M. Mathai.  Storage capacity of a dam with gamma type inputs , 1982 .

[37]  Geoffrey Ye Li,et al.  Cooperative Spectrum Sensing in Cognitive Radio, Part I: Two User Networks , 2007, IEEE Transactions on Wireless Communications.

[38]  Peter Wynn.  Acceleration Techniques in Numerical Analysis, with Particular Reference to Problems in One Independent Variable , 1962, IFIP Congress.

[39]  Khaled Ben Letaief,et al.  Cooperative Communications for Cognitive Radio Networks , 2009, Proceedings of the IEEE.

[40]  Mohamed-Slim Alouini,et al.  On the Energy Detection of Unknown Signals Over Fading Channels , 2007, IEEE Transactions on Communications.