The impact of shadowing and the severity of fading on the first and second order statistics of the capacity of OSTBC MIMO nakagami-lognormal channels

Wireless Personal Communications

Volumn 65, Issue 3, 2012, Pages 601-616

  Rafiq, Gulzaib ^a   Pätzold, Matthias ^a  

^a UNIVERSITY OF AGDER   (Norway)

Author keywords

Average duration of fades; Channel capacity; Land mobile terrestrial channels; Level crossing rate; MIMO; Nakagami lognormal channels; Shadowing effects

Indexed keywords

AVERAGE DURATION OF FADES; LAND MOBILE; LEVEL CROSSING RATES; NAKAGAMI-LOGNORMAL CHANNELS; SHADOWING EFFECTS;

FADING (RADIO); MIMO SYSTEMS; PROBABILITY DENSITY FUNCTION;

CHANNEL CAPACITY;

EID: 84864581023     PISSN: 09296212     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11277-011-0275-x     Document Type: Article

References (39)

1. Zheng, L., & Tse, D. N. C. (2003). Diversity and multiplexing: A fundamental tradeoff in multiple antenna channels. IEEE Transactions on Information Theory, 49, 1073-1096.
2. Tarokh, V., Seshadri, N., & Calderbank, A. R. (1998). Space-time codes for high data rate wireless communication: Performance criterion and code construction. IEEE Transactions on Information Theory, 44(2), 744-765. (Pubitemid 128737635)
3. Alamouti, S. M. (1998). A simple transmit diversity technique for wireless communications. IEEE Journal on Selected Areas in Communications, 16(8), 1451-1458. (Pubitemid 128566830)
4. Tarokh, V., Jafarkhani, H., & Calderbank, A. R. (1999). Space-time block codes from orthogonal designs. IEEE Transactions on Information Theory, 45(5), 1456-1467.
5. Larsson, E. G., & Stoica, P. (2003). Space-time block coding for wireless communications (1st ed.). New York, NY: Cambridge University Press.
6. Chen, J., Du, Z., & Gao, X. (2008). Approximate capacity of OSTBC-OFDM in spatially correlated MIMO Nakagami-m fading channels. Electronics Letters, 44(8), 534-535.
7. Musavian, L., Dohler, M., Nakhai, M. R., & Aghvami, M. H. (2004). Closed-form capacity expressions of orthogonalized correlated MIMO channels. IEEE Communications Letters, 8(6), 365-367.
8. Yang, L. (2008). Outage performance of OSTBC in double scattering MIMO channels. Wireless Personal Communications, 45(2), 225-230.
9. Zhang, H., & Gulliver, T. A. (2005). Capacity and error probability analysis for orthogonal space-time block codes over fading channels. IEEE Transaction on Wireless Communications, 4(2), 808-819. (Pubitemid 40519761)
10. Maaref, A., & Aïssa, S. (2006). Performance analysis of orthogonal space-time block codes in spatially correlated MIMO Nakagami fading channels. IEEE Transaction on Wireless Communications, 5(4), 807-817.
11. Rafiq, G., Pätzold, M., & Kontorovich, V. (2009). The influence of spatial correlation and severity of fading on the statistical properties of the capacity of OSTBC Nakagami-m MIMO channels. In Proceedings IEEE 69th vehicular technology conference, IEEE VTC 2009-Spring. Barcelona, Spain.
12. Jakes, W. C. (Ed.). (1994). Microwave mobile communications. Piscataway, NJ: IEEE Press.
13. Stüber, G. L. (2001). Principles of mobile communications (2nd ed.). Boston, MA: Kluwer Academic Publishers.
14. Pätzold, M., Killat, U., & Laue, F. (1998). An extended Suzuki model for land mobile satellite channels and its statistical properties. IEEE Transactions on Vehicular Technology, 47(2), 617-630. (Pubitemid 128741192)
15. Tjhung, T. T., & Chai, C. C. (1999). Fade statistics in Nakagami-lognormal channels. IEEE Transactions on Communications, 47(12), 1769-1772. (Pubitemid 32212973)
16. Ramos, F., Kontorovitch, V. Y., & Lara, M. (2000). Generalization of Suzuki model for analog communication channels. In Proceedings IEEE antennas and propagation for wireless communication, IEEE APS 2000 (pp. 107-110).
17. Nakagami, M. (1960). The m-distribution: A general formula of intensity distribution of rapid fading. In W. G. Hoffman (Ed.), Statistical methods in radio wave propagation. Oxford, UK: Pergamon Press.
18. Yacoub, M. D., Vargas, J. E. B., & Guedes, L. G. R.de (1999). On higher order statistics of the Nakagami-m distribution. IEEE Transactions on Vehicular Technology, 48(3), 790-794.
19. Shen, Z., Heath, R. W., Jr., Andrews, J. G., & Evans, B. L. (2006). Space-time water-filling for composite MIMO fading channels. EURASIP Journal on Wireless Communications and Networking, 2006(2), 48-48.
20. Yang, L. (2007). Outage performance of OSTBC in MIMO channels with shadowing. Wireless Personal Communications, 43(4), 1751-1754. (Pubitemid 350165418)
21. Salzer, H. E., Zucker, R., & Capuano, R. (1952). Table of the zeros and weight factors of the first twenty hermite polynomials. Journal of Research of the National Bureau of Standards, 48, 111-116.
22. Gradshteyn, I. S., & Ryzhik, I. M. (2000). Table of integrals, series, and products (6th ed.). New York: Academic Press.
23. Pätzold, M., & Yang, K. (2006). An exact solution for the level-crossing rate of shadow fading processes modelled by using the sum-of-sinusoids principle. In Proceedings 9th international symposium on wireless personal multimedia communications, WPMC 2006 (pp. 188-193). San Diego, USA.
24. Paulraj, A. J., Nabar, R., & Gore, D. (2003). Introduction to space-time wireless communications. Cambridge, UK: Cambridge University Press.
25. Alouini, M.-S., Abdi, A., & Kaveh, M. (2001). Sum of gamma variates and performance of wireless communication systems over Nakagami-fading channels. IEEE Transactions on Vehicular Technology, 50(6), 1471-1480. (Pubitemid 33137855)
26. Papoulis, A., & Pillai, S. U. (2002). Probability, random variables and stochastic processes (4th ed.). New York: McGraw-Hill.
27. Yacoub, M. D., da Silva, C. R. C. M., & Vargas Bautista, J. E. (2001). Second-order statistics for diversity-combining techniques in Nakagami-fading channels. IEEE Transactions on Vehicular Technology, 50(6), 1464-1470. (Pubitemid 33137854)
28. Krantzik, A., & Wolf, D. (1990). Distribution of the fading-intervals of modified Suzuki processes. In L. Torres, E. Masgrau, & M. A. Lagunas (Eds.), Signal processing V: Theories and applications (pp. 361-364). Amsterdam, The Netherlands: Elsevier Science Publishers, B.V.
29. Hogstad, B. O., & Pätzold, M. (2007). Exact closed-form expressions for the distribution, level-crossing rate, and average duration of fades of the capacity of MIMO channels. In Proceedings 65th semiannual vehicular technology conference, IEEE VTC 2007-Spring (pp. 455-460). Dublin, Ireland. (Pubitemid 47133987)
30. Pätzold, M. (2002). Mobile fading channels. Chichester: John Wiley & Sons.
31. Giorgetti, A., Smith, P. J., Shafi, M., & Chiani, M. (2003). MIMO capacity, level crossing rates and fades: The impact of spatial/temporal channel correlation. Journal of Communications and Networks, 5(2), 104-115.
32. Wang, H. S., & Moayeri, N. (1995). Finite-state Markov channel - a useful model for radio communication channels. IEEE Transactions on Vehicular Technology, 44(1), 163-171.
33. Vijayan, R., & Holtzman, J. M. (1993). Foundations for level crossing analysis of handoff algorithms. In Proceedings IEEE international conference on communications, ICC 1993 (pp. 935-939). Geneva, Switzerland.
34. Lai, J., & Mandayam, N. B. (1998). Packet error rate for burst-error-correcting codes in Rayleigh fading channels. In Proceedings of the IEEE 48th vehicular technology conference, VTC'98. Ottawa, Ontario, Canada.
35. Abramowitz, M., & Stegun, I. A. (1984). Handbook of mathematical functions with formulas, graphs, and mathematical tables. Washington: National Bureau of Standards.
36. Gudmundson, M. (1991). Correlation model for shadow fading in mobile radio systems. Electronics Letters, 27(23), 2145-2146.
37. Pätzold, M., Wang, C. X., & Hogstad, B. O. (2009). Two new sum-of-sinusoids-based methods for the efficient generation of multiple uncorrelated Rayleigh fading waveforms. IEEE Transactions on Wireless Communications, 8(6), 3122-3131.
38. Rice, S. O. (1944). Mathematical analysis of random noise. Bell System Technical Journal, 23, 282-332.
39. Rice, S. O. (1945). Mathematical analysis of random noise. Bell System Technical Journal, 24, 46-156.