An empirical study on time-correlation of GSM telephone traffic

IEEE Transactions on Wireless Communications

Volumn 7, Issue 9, 2008, Pages 3428-3435

  Bregni, Stefano ^a,b   Cioffi, Roberto ^b   Decina, Maurizio ^a,b  

^a IEEE

^b POLITECNICO DI MILANO   (Italy)

Author keywords

GSM; Modified allan variance; Poisson random process; Traffic measurement (communication); Traffic model

Indexed keywords

CORRELATION METHODS; TELEPHONE;

CALL ARRIVAL RATES; DISCRIMINATING POWER; EMPIRICAL DISTRIBUTIONS; EMPIRICAL STUDIES; GSM; MODIFIED ALLAN VARIANCE; NOISE TYPES; ON TIME; POISSON RANDOM PROCESS; TIME DOMAINS; TRAFFIC DATA; TRAFFIC MEASUREMENT (COMMUNICATION); TRAFFIC MODEL; UNCORRELATED;

TELEPHONE SETS;

EID: 52349084650     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2008.070092     Document Type: Article

References (34)

1. R. Syski, Introduction to Congestion Theory in Telephone Systems, 2nd ed. Amsterdam, The Netherlands: Elsevier Science Publishers B.V., 1986.
2. R. I. Wilkinson, "Theories for toll traffic engineering in the USA," Bell System Tech. J., vol. 35, no. 2, pp. 421-514, Mar. 1956.
3. C. W. Pratt, "The concept of marginal overflow in alternate routing," in Proc. 5th International Teletraffic Congress (ITC), 1967.
4. S. Katz, "Statistical performance analysis of a switched communications network," in Proc. 5th International Teletraffic Congress (ITC), 1967.
5. F. Barcelò and J. Jordan, "Channel holding time distribution in public telephony system (PAMR and PCS)," IEEE Trans. Veh. Technol., vol. 49, no. 5, pp. 1615-1625, Sept. 2000.
6. C. Jedrzycky and V. C. M. Leung, "Probability distribution of channel holding time in cellular telephony system," in Proc. IEEE Veh. Technol. Conf., May 1996.
7. Y. Fang, I. Chlaintac, and Y. B. Lin, "Channel occupancy times and handoff rate for mobile computing and PCS networks," IEEE Trans. Comput., vol. 47, no. 6, pp. 679-692, June 1998.
8. Y. Fang, "Hyper-Erlang distributions and traffic modeling in wireless and mobile networks," in Proc. IEEE Wireless Commun. Networking Conference (WCNC), Sept. 1999.
9. Y. Fang and I. Chlamtac, "Teletraffic analysis and mobility modeling of PCS networks," IEEE Trans. Commun., vol. 47, no. 7, pp. 1062-1072, July 1999.
10. J. A. Barria and B. H. Soong, "A. Coxian model for channel holding time distribution for teletraffie mobility modelling," IEEE Commun. Lett., vol. 4, no. 12, pp. 402-404, Dec. 2000.
11. F. Barcelò and S. Bueno, "Idle and inter-arrival time statistics in public access mobile radio (PAMR) system," in Proc. IEEE Globecom, Nov. 1997.
12. A. Pattavina and A. Parini, "Modelling voice call interarrival and holding time distributions in mobile networks," in Proc. 19th International Teletraffic Congress (ITC), Aug. 2005.
13. S. Bregni and L. Jmoda, "Improved estimation of the Hurst parameter of long-range dependent traffic using the modified Hadamard variance," in Proc. IEEE ICC, 2006.
14. S. Bregni and L. Jmoda, "Accurate estimation of the Hurst parameter of long-range dependent traffic using modified Allan and Hadamard variances," to be published in IEEE Transactions on Communications.
15. D. W. Allan and J. A. Barnes, "A modified Allan variance with increased oscillator characterization ability," in Proc. 35th Annual Freq. Contr. Symp., 1981.
16. P. Lesage and T. Ayi, "Characterization of frequency stability: analysis of the modified Allan variance and properties of its estimate," IEEE Trans. Instrum. Meas., vol. 33, no. 4, pp. 332-336, Dec. 1984.
17. L. G. Bernier, "Theoretical analysis of the modified Allan variance," in Proc. 41st Annual Freq. Contr. Symp., 1987.
18. D. B. Sullivan, D. W. Allan, D. A. Howe, and F. L. Walls, eds., "Characterization of clocks and oscillators," NIST Technical Note 1337, Mar. 1990.
19. S. Bregni, Chapter 5: Characterization and Modelling of Clocks, in Synchronization of Digital Telecommunications Networks. Chichester, UK: John Wiley & Sons, 2002, pp. 203-281.
20. J. A. Barnes, A. R. Chi, L. S. Cutler, D. J. Healey, D. B. Leeson, T. E. McGunigal, J. A. Mullen Jr., W. L. Smith, R. L. Sydnor, R. F. C Vessot, and G. M. R. Winkler, "Characterization of frequency stability," IEEE Trans. Instrum. Meas., vol. 20, no. 2, pp. 105-120, May 1971.
21. "IEEE Standard Definitions of Physical Quantities for Fundamental Frequency and Time Metrology," IEEE Std. 1.139, approved 1988, revised 1999.
22. ITU T Rec. G.810 "Definitions and Terminology for Synchronisation Networks," Rec. G.811 "Timing Characteristics of Primary Reference Clocks," Rec. G.812 "Timing Requirements of Slave Clocks Suitable for Use as Node Clocks in Synchronization Networks," Rec. G.8.13 "Timing Characteristics of SDH Equipment Slave Clocks (SEC)," Geneva 1996-2003.
23. S. Bregni and L. Primerano, "The modified Allan variance as time-domain analysis tool for estimating the Hurst parameter of long-range dependent traffic," in Proc. IEEE GLOBECOM, 2004.
24. S. Bregni and W. Erangoli, "Fractional noise in experimental measurements of IP traffic in a metropolitan area network," in Proc. IEEE GLOBECOM, 2005.
25. P Lesage and C. Audoin, "Characterization of frequency stability: uncertainty due to the finite number of measurements," IEEE Trans. Instrum. Meas., vol. 22, no. 2, pp. 157-161, June 1973. "Comments on '__' ," IEEE Trans. Instrum. Meas., vol. 24, no. 1, p. 86, Mar. 1975. "Correction to '__' ," IEEE Trans. Instrum. Meas., vol. 25, no. 3, p. 270, Sept. 1976.
26. S. R. Stein, "Frequency and time-their measurement and characterization," in Precision Frequency Control, vol. 2, E. A. Gerber and A. Ballato, eds. New York: Academic Press, 1985, pp. 191-232.
27. C. A. Greenhall and W. J. Riley, "Uncertainty of stability variances based on finite differences." [Online], Available: http://www.wriley.com.
28. C. A. Greenhall, "Recipes for degrees of freedom of frequency stability estimators," IEEE Trans. Instrum. Meas., vol. 40, no. 6, pp. 994-999, Dec. 1991.
29. W. J. Riley, "Confidence intervals and bias corrections for the stable32 variance functions," Hamilton Technical Services, 2000. [Online]. Available: http://www.wriley.com
30. J. Rutman, "Characterization of phase and frequency instabilities in precision frequency sources: fifteen years of progress," Proc. IEEE, vol. 66, no. 9, pp. 1048-1075, Sept. 1978.
31. P. Abry, R. Baraniuk, P. Flandrin, R. Riedi, and D. Veitch, "The multiscale nature of network traffic," IEEE Signal Processing Mag., vol. 19, no. 3, pp. 28-46, May 2002.
32. P. Abry and D. Veitch, "Wavelet analysis of long-tange dependent traffic," IEEE Trans. Inform. Theory, vol. 44, no.1, pp. 2-15, Jan. 1998.
33. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vettering, Chapter 14: Statistical Description of Data, in Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. Cambridge, UK: Cambridge University Press, 2002, pp. 609-655.
34. A. Papoulis, Probability, Random Variables and Stochastic Processes, 2nd ed. New York: McGraw Hill, 1984.