Cooperative spectrum sensing based on the limiting eigenvalue ratio distribution in wishart matrices

IEEE Communications Letters

Volumn 13, Issue 7, 2009, Pages 507-509

  Penna, Federico ^a   Garello, Roberto ^a   Spirito, Maurizio A ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Cognitive radio; Random matrix theory; Spectrum sensing

Indexed keywords

COGNITIVE RADIO; COOPERATIVE SPECTRUM SENSING; DETECTION RULES; DETECTION TECHNIQUE; EIGEN-VALUE; EIGENVALUES; LIMITING DISTRIBUTIONS; MATRIX; NUMERICAL SIMULATION; PROBABILITY OF FALSE ALARM; RANDOM MATRIX THEORY; RECEIVED SIGNALS; SMALLEST EIGENVALUE; SPECTRUM SENSING; WISHART MATRICES;

COMPUTER SIMULATION LANGUAGES; COVARIANCE MATRIX; RADIO; SIGNAL DETECTION;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 68349139430     PISSN: 10897798     EISSN: None     Source Type: Journal    
DOI: 10.1109/LCOMM.2009.090425     Document Type: Article

References (11)

1. L. S Cardoso, M. Debbah, P. Bianchi, and J. Najim, "Cooperative spectrum sensing using random matrix theory," in i Proc. 3rd International Symposium on Wireless Pervasive Computing (ISWPC) 2008, pp. 334-338, May 2008.
2. Y. Zeng and Y.-C. Liang, "Maximum-minimum eigenvalue detection for cognitive radio," in Proc. 18th Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communication (PIMRC), 2007.
3. I. F. Akyildiz, W.-Y. Lee, M. C. Vuran, and S. Mohanty, "Next generation / dynamic spectrum access / cognitive radio wireless networks: A survey," ELSEVIER ComNet, vol. 50, no. 13, pp. 2127-2159, May 2006.
4. Z. D. Bai, "Methodologies in spectral analysis of large-dimensional random matrices, a review," Statistica Sinica, vol. 9, pp. 611-677, 1999.
5. J. Baik and J. W. Silverstein, "Eigenvalues of large sample covariance matrices of spiked population models," J. Multivar. Anal., vol. 97, no. 6, pp. 1382-1408, 2006.
6. I. M. Johnstone, "On the distribution of the largest eigenvalue in principal component analysis," Annals of Statistics, vol. 29, no. 2, pp. 295-327, 2001
7. C. Tracy and H. Widom, "On orthogonal and symplectic matrix ensembles," Comm. Math. Phys, vol. 177, pp. 727-754, 1996.
8. M. Dieng, RMlab ver. 0.02: http://math.arizona.edu/~momar/
9. O. N. Feldheim and S. Sodin, "A universality result for the smallest eigenvalues of certain sample covariance matrices." Online: http:// arxiv.org/PS cache/arxiv/pdf/0812/0812.1961v1.pdf
10. J. H. Curtiss, "On the distribution of the quotient of two chance variables," Annals of Mathematical Statistics, vol. 12, no. 4, pp. 409-421, 1941.
11. J. Ma, G. Zhao, and Y. Li, "Soft combination and detection for cooperative spectrum sensing in cognitive radio networks," IEEE Trans. Wireless Commun., vol. 7, no. 11, pp. 4502-4507, Nov. 2008