Propagation Modelling Using Integral Equation Methods to Enable Co-existence and Address Physical Layer Security Issues in Cognitive Radio
Eamonn O. Nuallain
DOI: 10.4236/ijcns.2011.43017   PDF    HTML     3,761 Downloads   7,787 Views   Citations


In this paper it is envisaged that cognitive radios (CRs) consult a supporting network infrastructure for per-mission to transmit. The network server either grants or rejects these requests by estimating, from the CR’s geo-location and antenna features, the likely impact its transmission would have on incumbents and other CR devices. This decision would be based on a real-time radio environment map [1] which would be kept up to date with readings from CRs, sensors and dynamic radio propagation prediction. By this means coexistence with incumbents and other CRs can be satisfied. It is maintained here that integral-equation (IE) - based al-gorithms are suitable candidates for the propagation engine given their ‘automatic’ nature and that they can be implemented to give results arbitrarily close to the exact numerical solution. IE methods based on the Fast Multipole Method are examined as a likely route to achieve the accuracy and speed necessary for real-time propagation mapping. It is concluded that the results obtained using one of the most recent of these, the Field Extrapolation Method (FEXM) [2], are promising for rural/suburban profiles and could serve to enable co-existence, for example, in IEEE802.22 networks. It is also explained how dynamic propagation prediction can address some fundamental security threats to CR networks.

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E. Nuallain, "Propagation Modelling Using Integral Equation Methods to Enable Co-existence and Address Physical Layer Security Issues in Cognitive Radio," International Journal of Communications, Network and System Sciences, Vol. 4 No. 3, 2011, pp. 139-146. doi: 10.4236/ijcns.2011.43017.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Y. Zhao, B. Le and J. Reed, “Network Support: The Radio Environment,” In: B. Fette, Ed., Cognitive Radio Technology, Elsevier, Amsterdam, 2006.
[2] E. O. Nuallain, “An Efficient IE-Based Propagation Mo- del,” IEEE Transactions on Antennas and Propagation, Vol. 53, No. 5, May 2005, pp. 1836-1841. doi:10.1109/TAP.2005.846812
[3] J. T. Hviid, J. B. Andersen, J. Toftgard and J. Bojer, “Terrain-Based Propagation Model for Rural Areas—An Integral Equation Approach,” IEEE Transactions in Antennas and Propagation, Vol. 43, No. 1, January 1995, pp. 41-46. doi:10.1109/8.366349
[4] A. F. Peterson, S. L. Ray and R. Mittra, “Computational Methods for Electromagnetics,” IEEE Press, New York, 1998, pp. 37-45.
[5] R. Coifman, V. Rokhlin and S. Wandzura, “The Fast Multipole Method for the Wave Equation: A Pedestrian Description,” IEEE Antennas and Propagation Magazine, Vol. 35, No. 3, 1993, pp. 7-12. doi:10.1109/74.250128
[6] C. C. Lu and W. C. Chew, “Fast Far Field Approximation for Calculating the RCS of Large Objects,” Microwave and Optical Technology Letters, Vol. 8, No. 5, 1995, pp. 238-241. doi:10.1002/mop.4650080506
[7] C. Brennan, “Numerical Methods for the Efficient Computation of Electromagnetic Scattering from a Class of Large Scale Perfect Electrical Conductors,” Thesis, Trinity College, Dublin, 1998.
[8] C. Brennan and P. Cullen, “Tabulated Interaction Method for UHF Terrain Propagation Problems,” IEEE Transactions on Antennas and Propagation, Vol. 46, No. 5, 1998, pp. 738-739. doi:10.1109/8.668921
[9] E. O. Nuallain, “A Proposed Propagation-Based Methodology with Which to Address the Hidden Node Problem and Security/Reliability Issues in Cognitive Radio,” International Conference on Wireless Communications, Net- working and Mobile Computing, Dalian, 12-14 October 2008, pp. 1-5.
[10] D. Holliday, L. DeRaad and G. St-Cyr, “Forward-Back- ward: A New Method for Computing Low-Grazing Angle Scattering,” IEEE Transactions on Antennas and Propagation, Vol. 44. No. 5, 1996, pp. 722-729. doi:10.1109/8.496263
[11] J. M. Song and W. C. Chew, “Multilevel Fast Multipole Algorithm for Solving Combined Field Integral Equations of Electromagnetic Scattering,” Microwave and Optical Technology Letters, Vol. 10, No 1, 1995, pp. 14-19. doi:10.1002/mop.4650100107

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