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A CORDIC-Jacobi Based Spectrum Sensing Algorithm For Cognitive Radio

  • Tan, Xiaobo (Institute of Communication Engineering, PLA University of Science and Technology Nanjing) ;
  • Zhang, Hang (Institute of Communication Engineering, PLA University of Science and Technology Nanjing)
  • Received : 2012.05.06
  • Accepted : 2012.08.16
  • Published : 2012.09.30

Abstract

Reliable spectrum sensing algorithm is a fundamental component in cognitive radio. In this paper, a non-cooperative spectrum sensing algorithm which needs only one cognitive radio node named CORDIC (Coordinate Rotation Digital Computer) Jacobi based method is proposed. The algorithm computes the eigenvalues of the sampled covariance of received signal mainly by shift and additional operations, which is suitable for hardware implementation. Based the latest random matrix theory (RMT) about the distribution of the limiting maximum and minimum eigenvalue ratio, the relationship between the probability of false alarm and the decision threshold is derived. Simulations and discussions show the method is effective. Real captured digital television (DTV) signals and Universal Software Radio Peripheral (USRP) are also employed to evaluate the performance of the algorithm, which prove the proposed algorithm can be applied in practical spectrum sensing applications.

Keywords

References

  1. J.Mitola, G.Q.Maguire. "Cognitive radios: making software radio more personal," IEEE Personal Communications, vol.6, no.4, pp.13-18, 2003.
  2. S.Haykin. "Cognitive Rafio: brain-empowered wireless communications," IEEE Journal on Selected Areas in Communications, vol.23, no.2, pp.201-220, 2005.
  3. Y.H.Zeng, Y.C.Liang. "Eigenvalue based spectrum sensing algorithms for cognitive radio," IEEE Transaction on Communication, vol.57, no.6, pp.1784-1793, 2009.
  4. Y.H.Zeng, Y.C.Liang. "Spectrum sensing algorithms for cognitive radio based on statistical covariances," IEEE Transaction on Vehicular Technology, vol.58, no.4, pp.1804-1815, 2009.
  5. S.Ziafat, W.Ejaz, H.Jamal. "Spectrum sensing techniques for cognitive radio networks: performance analysis," pp.1-4, IMWF-IRFPT 2011, 2011.
  6. C.A.Tracy, H.Widom. "On orthogonal and symblectic matrix ensembles," Communications in Mathematical Physics, vol.177, pp.727-754, 1996. https://doi.org/10.1007/BF02099545
  7. O.N.Feldheim, S.Sodin. "A universality result for the smallest eigenvalues of certain sample covariance matrices," http://arXiv.org/abs/0812.1961v4, 2009.
  8. L.S.Cardoso, M.Debbah, P.Boanchi, J.Najim. "Cooperative Spectrum Sensing Using Radndom Matrix Theory," http://arXiv.org/abs/0803.0597v1, 2009.
  9. Zongming Ma. "Accuracy of the Tracy-Widom limits for the extreme eigenvalues in white Wishart matrices," Bernouli, vol.18, no.1, pp.1-38, 2012. https://doi.org/10.3150/10-BEJ324
  10. T.Yucek, H.Arslan. "A survey of spectrum sensing algorithms for cognitive radio applications," IEEE Communications Surveys & Tutorials, vol.11, no.1, pp.116-130, 2009.
  11. D.Cabric, A.Tkachenko, R.W.Brodersen. "Spectrum sensing measurements of pilot, energy, and collaborative detection," IEEE Military Communication Conference, pp.1-7, 2006.
  12. R.Zhang. "Blindly combined energy detection for spectrum sensing in cognitive radio," IEEE Signal Processing, vol.15, pp.649-652, 2008.
  13. J.Y.WU, C.H.Wang, T.Y.Wang. "Performance analysis of energy detection based spectrum sensing with unknown primary signal arrival time," IEEE Transaction on Communication, vol.59, no.7, pp.1779-1784, 2011.
  14. J.Kim, J.G..Andrews. "Spectral covariance for spectrum sensing, with application to IEEE 802.22," ICASSP 2010, pp.3102-3105, 2010.
  15. Z.Quan, W.Zhang, J.Shellhammer, A.H.Sayed. "Optimal spectral feature detection for spectrum sensing at very low SNR," IEEE Transaction on Communication, vol.59, no.1, pp.201-212, 2011.
  16. H.S.Chen, W.Gao, D.G.Daut. "Signature based spectrum sensing algorithms for IEEE 802.22 WRAN," IEEE International Conference on Communication, June, 2007.
  17. S.Shellhammer, R.Tandra. "Performance of the power detector with noise uncertainty," Doc. IEEE 802.22-06/0134r0, July, 2006.
  18. D.Cabric, S.M.Mishra, R.W.Brodersen. "Implementation issues in spectrum sensing for cognitive radios," The 48th Asilomar Conference on Signals, Systems and Computers, 2004.
  19. H.Tang. "Some physical layer issues of wide-band cognitive radio systems," The 1st IEEE International Symposium on Dynamic Spectrum Access Networks, 2005.
  20. J.Wang, Guangguo.Bi. "Novel autocorrelation based spectrum sensing methods for cognitive radios." The 16th Asia-Pacific Conference on Communication, pp.412-417, 2010.
  21. F.Penna, R.Garello, M.A.Spirito. "Probability of missed detection in eigenvalue ratio spectrum sensing," 2009 International Conference on Wireless and Mobile Computing, Networking and Communications, pp.117-122, 2009.
  22. R.K.Sharma, J.W.Wallace, J.W.Wallace. "Correlation-based sensing for cognitive radio networks: bounds and experimental assessment," IEEE Sensors Journal, vol.11, no.3, pp.657-666, 2011.
  23. F.Penna, R.Garello, M.A.Spirito. "Cooperative spectrum sensing based on the limiting eigenvalue ratio distribution in Wishart Matrices," IEEE Communications Letters, vol.13, no.7, pp.507-509, 2009.
  24. A. Sahai and D. Cabric. "Spectrum sensing: fundamental limits and practical challenges," in Proc. IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks (DySPAN), (Baltimore, MD), Nov. 2005.
  25. J.Volder. "CORDIC computing technique," IRE Trans. Comput., Sept, 1959, pp.330-334.
  26. J.R.Cavallaro, F.T. Luk, "CORDIC arithmetic for an SVD processor," Journal of parallel and distributed computing, vol.5, pp.271-290, 1988. https://doi.org/10.1016/0743-7315(88)90021-4
  27. Minseok Kim, Koichi Ichige, Hiroyuki Arai. "Design of Jacobi EVD Processor based on CORDIC for DOA Estimation with MUSIC Algorithm," The 13th International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), vol.1, pp.120-124, 2002.
  28. M.Dieng, RMLab Version 0.02. http://math.arizona.edu/-momar/, 2006.
  29. V.Tawil, 51 captured DTV signal. http://grouper.ieee.org/groups/802/22/, July, 2006.
  30. The signal file can be downloaded in 12/2011 at the bottom of the website: http://www1.i2r.a-star.edu.sg/-yhzeng/Publication.htm.
  31. S.Shellhammer. "Spectrum sensing in IEEE 802.22," in workshop cognitive Inf. Process, Santorini, Greece, June, 2008.

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