Analysis of area under the ROC curve of energy detection

IEEE Transactions on Wireless Communications

Volumn 9, Issue 3, 2010, Pages 1216-1225

  Atapattu, Saman ^a   Tellambura, Chintha ^a   Jiang, Hai ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Area under the curve; Energy detection; Receiver operating characteristic (ROC)

Indexed keywords

ANALYTICAL RESULTS; AREA UNDER THE CURVES; AREA UNDER THE ROC CURVE; CHANNEL ESTIMATION ERRORS; CHANNEL MODEL; DETECTOR PERFORMANCE; DIVERSITY GAIN; DIVERSITY SCHEMES; ENERGY DETECTION; ENERGY DETECTORS; FADING CORRELATION; FIGURE OF MERIT; HIGH SNR; MAXIMAL-RATIO COMBINING; MONTE CARLO SIMULATION; NAKAGAMI-M FADING; NUMERICAL COMPUTATIONS; RECEIVER OPERATING CHARACTERISTIC CURVES; RECEIVER OPERATING CHARACTERISTICS; SELECTION COMBINING;

DIVERSITY RECEPTION; FADING CHANNELS; RAYLEIGH FADING; SIGNAL DETECTION;

DETECTORS;

EID: 77949551839     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2010.03.091085     Document Type: Article

References (31)

1. J. P. Egan, Signal Detection Theory and ROC Analysis. NewYork: Academic Press, 1975.
2. H. Urkowitz, "Energy detection of unknown deterministic signals," Proc. IEEE, vol.55, no.4, pp. 523-531, Apr. 1967.
3. V. I. Kostylev, "Energy detection of a signal with random amplitude," in Proc. IEEE Int. Conf. Commun. (ICC), Apr. 2002, pp. 1606-1610.
4. F. F. Digham, M. S. Alouini, and M. K. Simon, "On the energy detection of unknown signals over fading channels," in Proc. IEEE Int. Conf. Commun. (ICC), May 2003, pp. 3575-3579.
5. F. F. Digham, M. S. Alouini, and M. K. Simon, "On the energy detection of unknown signals over fading channels," IEEE Trans. Commun., vol.55, no.1, pp. 21-24, Jan. 2007.
6. S. P. Herath and N. Rajatheva, "Analysis of equal gain combining in energy detection for cognitive radio over Nakagami channels," in Proc. IEEE Global Commun. Conf. (GLOBECOM), Nov.-Dec. 2008.
7. S. Atapattu, C. Tellambura, and H. Jiang, "Relay based cooperative spectrum sensing in cognitive radio networks," in Proc. IEEE Global Commun. Conf. (GLOBECOM), Nov.-Dec. 2009.
8. S. Atapattu, C. Tellambura, and H. Jiang, "Performance of an energy detector over channels with both multipath fading and shadowing," IEEE Trans. Wireless Commun., submitted.
9. J. A. Swets, R. M. Dawes, and J. Monahan, "Better decisions through science," Scientific American, vol.283, no.4, pp. 82-87, Oct. 2000.
10. F. J. Provost and T. Fawcett, "Robust classification for imprecise environments," Machine Learning, vol.42, no.3, pp. 203-231, Mar. 2001.
11. T. D. Wickens, Elementary Signal Detection Theory. New York: Oxford University Press, 2002.
12. J. A. Hanley and B. J. Mcneil, "The meaning and use of the area under a receiver operating characteristic (ROC) curve," Radiology, vol.143, no.1, pp. 29-36, Apr. 1982.
13. J. H. Shapiro, "Bounds on the area under the ROC curve," J. Opt. Soc. Am. A, vol.16, no.1, pp. 1963-1968, Jan. 1999.
14. E. Clarkson, "Bounds on the area under the receiver operating characteristic curve for the ideal observer," J. Opt. Soc. Am. A, vol.19, no.10, pp. 1963-1968, Oct. 2002.
15. H. H. Barrett, C. K. Abbey, and E. Clarkson, "Objective assessment of image quality-III: ROC metrics, ideal observers, and likelihoodgenerating functions," J. Opt. Soc. Am. A, vol.15, no.6, pp. 1520-1535, June 1998.
16. M. Nakagami, "The -distribution, a general formula for intensity distribution of rapid fading," in Statistical Methods in Radio Wave Propagation, W. G. Hoffman, Ed., Oxford, England: Pergamon, 1960.
17. T. Fawcett, "An introduction to ROC analysis," Pattern Recognition Lett., vol.27, no.8, pp. 861-874, June 2006.
18. Wolfram, The Wolfram functions site. [Online] Available: http://functions.wolfram.com, 2009.
19. A. Liu, E. F. Schisterman, and C. Wu, "Nonparametric estimation and hypothesis testing on the partial area under receiver operating characteristic curves," Commun. in Statistics - Theory and Methods, vol.34, no.9, pp. 2077-2088, Oct. 2005.
20. M. K. Simon and M.-S. Alouini, Digital Communication over Fading Channels, 2nd ed. New York: Wiley, 2005.
21. A. Pandharipande and J. P. M. G. Linnartz, "Performance analysis of primary user detection in a multiple antenna cognitive radio," in Proc. IEEE Int. Conf. Commun. (ICC), June 2007, pp. 6482-6486.
22. 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.
23. Y.-C. Liang, Y. Zeng, E. C. Y. Peh, and A. T. Hoang, " Sensingthroughput tradeoff for cognitive radio networks," IEEE Trans. Wireless Commun., vol.7, no.4, pp. 1326-1337, Apr. 2008.
24. A. Annamalai and C. Tellambura, "Performance evaluation of generalized selection diversity systems over Nakagami- fading channels," Wireless Commun. and Mobile Computing, vol.3, no.1, pp. 99-116, July 2002.
25. M. Gans, "The effect of Gaussian error in maximal ratio combiners," IEEE Trans. Commun. Technol., vol.19, no.4, pp. 492-500, Aug. 1971.
26. B. R. Tomiuk, N. C. Beaulieu, and A. A. Abu-Dayya, "General forms for maximal ratio diversity with weighting errors," IEEE Trans. Commun., vol.47, no.4, pp. 488-492, Apr. 1999.
27. G. G. Lorentz, Bernstein Polynomials, 2nd ed. New York: Chelsea Pub. Co., 1986.
28. J. N. Pierce and S. Stein, "Multiple diversity with nonindependent fading," Proc. IRE, vol.48, no.1, pp. 89-104, Jan. 1960.
29. A. P. Prudnikov, Y. A. Brychkov, and O. I. Marichev, Integrals and Series, vol.2. Gordon and Breach science Publishers, 1986.
30. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products. New York: Academic Press, 2000.
31. A. H. Nuttall, "Some integrals involving the function," Naval Underwater Systems Center (NUSC), Tech. Rep., May 1974.