On the level crossing duration distributions of Nakagami processes

IEEE Transactions on Communications

Volumn 57, Issue 2, 2009, Pages 542-552

  Ramos Alarcon, Framos ^a   Kontorovich, Valeri ^a   Lara, M ^a  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

Author keywords

Fade and non fade duration distributions; Gamma distribution; Level crossing theory; Nakagami fading

Indexed keywords

ASYMPTOTIC ANALYSIS; FOURIER ANALYSIS; GAUSSIAN NOISE (ELECTRONIC); ORTHOGONAL FREQUENCY DIVISION MULTIPLEXING; RAILROAD CROSSINGS;

A-PRIORI; BACK UP; CLOSED FORMS; FADE AND NON-FADE DURATION DISTRIBUTIONS; GAMMA DISTRIBUTION; GENERAL SOLUTIONS; GOODNESS OF FITS; LEVEL CROSSING THEORY; LEVEL CROSSINGS; NAKAGAMI; NAKAGAMI FADING; NAKAGAMI PROCESS; NON-GAUSSIAN PROCESS; ORTHOGONAL SERIES; RANDOMLY DISTRIBUTED; THRESHOLD LEVELS;

CROSSINGS (PIPE AND CABLE);

EID: 61649124518     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOMM.2009.02.060375     Document Type: Article

References (34)

1. S. O. Rice, "The mathematical analysis of random noise," Bell Syst. Tech. J., vol. 24, pp. 282-332, 1944, and vol. 24, pp. 46-156, 1945.
2. S. O. Rice, "Distribution of the duration of fades in radio transmission: Gaussian noise model," Bell Syst. Tech. J., vol. 37, no. 1, pp. 581-635, May, 1958.
3. V. N. Tikhonov, "Characteristic of overshoots in random processes (review)," Radio Engineering Electronic Physics, no. 3, pp. 295-320, 1964.
4. V. N. Tikhonov, The Excursions of Stochastic Processes (in Russian). Nauka, 1970.
5. R. L. Stratonovich, Topics in the Theory of Random Noise. New York: Gordon and Breach, 1963-1967.
6. M. R. Leadbetter and H. Cramer, Stationary and Related Stochastic Processes. John Wiley and Sons, 1967.
7. Y. A. Goldstein and V. Ya. Kontorovitch, "Influence of the statistical properties of a radio channel on error grouping," Telecommun. Radio Eng., vol. 22, no. 8, pp. 6-8, 1968
8. I. F. Blake and W. C. Lindsey, "Level-crossing problems for random processes," IEEE Trans. Inform. Theory, vol. 19, no. 3, May 1973.
9. Ya. A. Fomin, Theory of the Excursions of Stochastic Processes (in Russian). Sviaz, 1980
10. T. Munakata and D. Wolf. "A novel approach to the level crossing problem of random processes," in Proc. IEEE Int. Symp. Inf. Theory Les Arcs, France, pp. 149-150, 1982.
11. W. F. Bodtmann and H. W. Arnold. "Fade duration statistics of a Rayleigh distributed wave," IEEE Trans. Commun., vol. 30, no. 3, pp. 549-553, Mar. 1982.
12. F. Swarts, H. C. Ferreira, and D.R. Oosthuizen, "Renewal channel model for PSK on slowly fading Rayleigh channel," Electron. Lett., vol. 25, no. 22, pp. 1514-1515, Oct. 1989.
13. J. T Barnett and B. Kedem, "Zero-crossing rates of functions of Gaussian processes," IEEE Trans. Inform. Theory, vol. 37, no. 4, pp. 1188-1194, July 1991.
14. J. T Barnett and B. Kedem, "Zero-crossing rates of mixtures and products of Gaussian processes," IEEE Trans. Inform. Theory, vol. 44, no. 4, pp. 1672-1677, July 1998.
15. D. Yacoub, J. E. V. Bautista, and L. Guerra de Rezende Guedes, "On higher order statistics of the Nakagami-m distribution," IEEE Trans. Veh. Technol., vol. 48, no. 3, pp. 790-794, May 1999.
16. T. T. Tjhung and C. Chai, "Fade statistics in Nakagami-lognormal channels," IEEE Trans. Commun., vol. 47, no. 12, pp. 1769-1772, Dec. 1999.
17. M. Patzold, Mobile Fading Channels. John Wiley & Sons, 2002.
18. A. Abdi and M. Kaveh, "Level crossing rate in terms of the characteristic function: A new approach for calculating the fading rate in diversity systems," IEEE Trans. Commun., vol. 50, no. 9, pp. 1397-1400, Sept. 2002.
19. D. R. Morgan, "On level-crossing excursions of Gaussian low pass random processes," IEEE Trans. Signal Processing, vol. 55, no. 7, pp. 3623-3632, July 2007.
20. S. Primak, V. Kontorovich, and V. Lyandres, Stochastic Methods and Their Applications to Communications: Stochastic Differential Equations Approach. John Wiley & Sons, 2004.
21. G. K. Karagiannidis, D. A. Zogas, and S. A. Kotsopoulos, "On the multivariate Nakagami-m distribution with exponential correlation," IEEE Trans. Commun., vol. 51, no. 8, pp. 1240-1244, Aug. 2003.
22. G. K. Karagiannidis, D. A. Zogas, and S. A. Kotsopoulos, "An efficient approach to multivariate Nakagami-m distribution using Green's matrix approximation," IEEE Trans. Wireless Commun., vol. 2, no. 5, pp. 883-889, Sept. 2003.
23. M. Nakagami, The m-Distribution: A General Formula of Intensity Distribution of Rapid Fadings in Statistical Methods in Wave Propagation Pergamon Press, 1960.
24. K. Yip and T. Ng, "A simulation model for Nakagami-m fading channels, m < I," IEEE Trans. Commun., vol. 48, no. 2, pp. 214-221, Feb. 2000.
25. M. Lara and V. Kontorovitch, "Simulation of Nakagami fading with given autocovariation function," in Proc. IEEE International Symp. Intelligent Signal Processing Commun. Sys., ISPACS 2000, Honolulu, Hawaii, pp. 561-564, Nov. 2000.
26. N. C. Beaulieu and C. Cheng, "An efficient procedure for Nakagami-m fading simulation," in Proc. IEEE Global Telecommun. Conf. (GLOBECOM'01), pp. 3326-3342, San Antonio, TX, Nov. 2001.
27. J. I. Marcum, "A statistical theory of target detection by pulsed radar," IRE Trans., vol. IT-6, no. 2, pp. 59-267, 1960.
28. A. J. Coulson, A. G. Williamson, and R. G Vaughan, "Improved fading distribution for mobile radio," in IEE Proc. Commun., vol. 145, no. 3, pp. 197-202, June 1998.
29. J. Griffiths and J. P. McGeehan, "Interrelationship between some statistical distributions used in radio-wave propagation," in IEE Proc. F Commun., Radar Signal Process., vol. 129, no. 6, pp. 411-417, Dec. 1982.
30. A. Leon-Garcia, Probability and Random Processes for Electrical Engineering. Addison-Wesley, 1989.
31. P. A. Bello, "Aeronautical channel characterization," IEEE Trans. Commun., vol. COMM 21, no. 5, pp. 548-563, May 1973.
32. J. M. Holtzman and R. Vijayan, "Foundations for level crossing analysis of handoff algorithms," in Proc. IEEE International Conf. Commun. (ICC '93), Geneva, pp. 935-939, May 1993.
33. N. B. Mandayam, P.-C. Chen, and J. M. Holtzman, "Minimum duration outage for cellular systems: A level crossing analysis," in Proc. IEEE VTC'96, Atlanta, GA, pp. 879-883, Apr. 1996.
34. F. Ramos, V. Kontorovich, and M. Lara, "Minimum duration outage in Nakagami fading channels: An approximate analytical calculation for wireless systems," in Proc. ICEEE '04, Acapulco, Mexico, pp. 102-107, Sept. 2004.