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  • Research Article
  • Open Access

Error Probability of Binary and -ary Signals with Spatial Diversity in Nakagami- (Hoyt) Fading Channels

EURASIP Journal on Wireless Communications and Networking20072007:053742

https://doi.org/10.1155/2007/53742

  • Received: 21 June 2007
  • Accepted: 30 October 2007
  • Published:

Abstract

We analyze the exact average symbol error probability (SEP) of binary and -ary signals with spatial diversity in Nakagami- (Hoyt) fading channels. The maximal-ratio combining and orthogonal space-time block coding are considered as diversity techniques for single-input multiple-output and multiple-input multiple-output systems, respectively. We obtain the average SEP in terms of the Lauricella multivariate hypergeometric function . The analysis is verified by comparing with Monte Carlo simulations and we further show that our general SEP expressions particularize to the previously known results for Rayleigh ( = 1) and single-input single-output (SISO) Nakagami- cases.

Keywords

  • Information System
  • Monte Carlo Simulation
  • Spatial Diversity
  • System Application
  • Fading Channel

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Authors’ Affiliations

(1)
School of Electronics and Information, Kyung Hee University, 1 Seocheon-dong, Giheung-gu, Yongin-si, Gyeonggi-do, 446-701, South Korea

References

  1. Simon MK, Alouini M-S: A unified approach to the performance analysis of digital communication over generalized fading channels. Proceedings of the IEEE 1998,86(9):1860-1877. 10.1109/5.705532View ArticleGoogle Scholar
  2. Simon MK, Alouini M-S: Digital Communication over Fading Channels: A Unified Approach to Performance Analysis. Wiley-Interscience, New York, NY, USA; 2000.View ArticleGoogle Scholar
  3. Annamalai A, Tellambura C:Error rates for Nakagami- fading multichannel reception of binary and -ary signals. IEEE Transactions on Communications 2001,49(1):58-68. 10.1109/26.898251MATHView ArticleGoogle Scholar
  4. Shin H, Lee JH:On the error probability of binary and -ary signals in Nakagami- fading channels. IEEE Transactions on Communications 2004,52(4):536-539. 10.1109/TCOMM.2004.826373View ArticleGoogle Scholar
  5. Efthymogloua GP, Piboongungon T, Aalo VA:Error rates of -ary signals with multichannel reception in Nakagami- fading channels. IEEE Communications Letters 2006,10(2):100-102. 10.1109/LCOMM.2006.02022.View ArticleGoogle Scholar
  6. Aalo VA, Piboongungon T, Efthymoglou GP:Another look at the performance of MRC schemes in Nakagami- fading channels with arbitrary parameters. IEEE Transactions on Communications 2005,53(12):2002-2005. 10.1109/TCOMM.2005.860089View ArticleGoogle Scholar
  7. Lu J, Tjhung TT, Chai CC:Error probability performance of -branch diversity reception of MQAM in Rayleigh fading. IEEE Transactions on Communications 1998,46(2):179-181. 10.1109/26.659476View ArticleGoogle Scholar
  8. Tellambura C, Mueller AJ, Bhargava VK:Analysis of -ary phase-shift keying with diversity reception for land-mobile satellite channels. IEEE Transactions on Vehicular Technology 1997,46(4):910-922. 10.1109/25.653065View ArticleGoogle Scholar
  9. Ekanayake N:Performance of -ary PSK signals in slow Rayleigh fading channels. Electronics Letters 1990,26(10):618-619. 10.1049/el:19900405View ArticleGoogle Scholar
  10. Shin H, Lee JH:Performance analysis of space—time block codes over keyhole Nakagami- fading chanels. IEEE Transactions on Vehicular Technology 2004,53(2):351-362. 10.1109/TVT.2004.823540View ArticleGoogle Scholar
  11. Shin H, Lee JH: Effect of keyholes on the symbol error rate of space—time block codes. IEEE Communications Letters 2003,7(1):27-29. 10.1109/LCOMM.2002.807428View ArticleGoogle Scholar
  12. Shin H, Win MZ: MIMO diversity in the presence of double scattering. to appear in IEEE Transactions on Information Theory, http://arxiv.org/abs/cs.IT/0511028 to appear in IEEE Transactions on Information Theory,
  13. Alamouti SM: A simple transmit diversity technique for wireless communications. IEEE Journal on Selected Areas in Communications 1998,16(8):1451-1458. 10.1109/49.730453View ArticleGoogle Scholar
  14. Tarokh V, Jafarkhani H, Calderbank AR: Space—time block codes from orthogonal designs. IEEE Transactions on Information Theory 1999,45(5):1456-1467. 10.1109/18.771146MATHMathSciNetView ArticleGoogle Scholar
  15. Zogas DA, Karagiannidis GK, Kotsopoulos SA:Equal gain combining over Nakagami- (Rice) and Nakagami- (Hoyt) generalzied fading channels. IEEE Transactions on Wireless Communications 2005,4(2):374-379.View ArticleGoogle Scholar
  16. Fraidenraich G, Filho JCSS, Yacoub MD: Second-order statistics of maximal-ratio and equal-gain combining in Hoyt fading. IEEE Communications Letters 2005,9(1):19-21.View ArticleGoogle Scholar
  17. Youssef N, Wang C-X, Pätzold M: A study on the second order statistics of Nakagami-Hoyt mobile fading channels. IEEE Transactions on Vehicular Technology 2005,54(4):1259-1265. 10.1109/TVT.2005.851353View ArticleGoogle Scholar
  18. Radaydeh RM:Average error performance of -ary modulation schemes in Nakagami- (Hoyt) fading channels. IEEE Communications Letters 2007,11(3):255-257.View ArticleGoogle Scholar
  19. Exton H: Multiple Hypergeometric Functions and Applications. John Wiley & Sons, New York, NY, USA; 1976.MATHGoogle Scholar
  20. Erdelyi A: Higher Transcendental Functions. Volume 1. McGraw-Hill, New York, NY, USA; 1953.MATHGoogle Scholar
  21. Tirkkonen O, Hottinen A: Square-matrix embeddable space-time block codes for complex signal constellations. IEEE Transactions on Information Theory 2002,48(2):384-395. 10.1109/18.978740MATHMathSciNetView ArticleGoogle Scholar
  22. Fraidenraich G, Yacoub MD:The - general fading distribution. Proceedings of the SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference (IMOC '03), September 2003, Foz do Iguacu, Brazil 1: 49-54.Google Scholar

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