The Journal of Korean Institute of Communications and Information Sciences (한국통신학회논문지)

The Korean Institute of Commucations and Information Sciences (한국통신학회)
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MRC Performance Comparison between Rectangular QAM and M-PSK over Nakagami-n Fading Channels

나카가미-n 페이딩 채널에서 직사각 QAM과 M-PSK 신호의 최대비 합성 수신 성능 비교

  • 임정석 (한국전자통신연구원, 한양대학교 전자통신컴퓨터공학부) ;
  • 박상규 (한양대학교 전자통신컴퓨터공학부)
  • Published : 2005.08.01
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Abstract

We derive and analyze a bit error rate(BER) expression of a Gray coded rectangular QAM(R-QAM) signal with maximal ratio combining diversity(MRC) reception over Nakagami-n(Rician) fading channels. The derived result is provided in terms of the Whittaker function and the confluent hypergeometric function. In addition, by performance comparison with M-PSK, we see the Nakagami-n fading channel characteristics. Because the derived expression is general, it can readily allow numerical e·valuation for various cases of practical interest such as line-of-sight (LOS) or satellite communication channel analysis.

본 논문에서는 나카가미-n(라이시안) 페이딩 채널 상에서 그레이 부호화된 직사각 QAM(Rectangular-QAM) 신호를 최대비 합성(maximal ratio combining) 다이버시티로 수신하는 경우 비트노율(Bit Error Rate, BER)을 계산하는 수식을 다양한 채널에 적용할 수 있도록 일반적 형태로 유도하고 그 성능 분석을 실시한다. 유도된 BER 수식은 휘태커 함수)Whittaker function)와 초기하 함수(confluent hypergeometric)로 표현된다. 또한 M-PSK와의 성능 비교를 통하여 나카가미-n 페이딩 채널의 특성을 확인한다. BER 수식이 일반적인 형태로 유도되었기 때문에 가시 경로(line-of-sight)를 가지는 통신채널이나 위성통신 채널의 성능분석에 본 논문에서 유도한 BER 수식을 쉽게 적용할 수 있다.

Keywords

References

  1. M. K. Simon, and M. Alouini, Digital Communication over Fading Channels: A Unified Approach to Performance Analysis, John Wiley & Sons, 2000
  2. J. G. Proakis, Digital Communications, Fourth Edition, McGraw-Hill, 2001
  3. W. C. Lindsey, 'Error Probabilities for Rician Fading Multichannel Reception of Binary and N-ary Signals,' IEEE Trans. Information Theory, vol. 10, no. 4, pp.339-350, October 1964 https://doi.org/10.1109/TIT.1964.1053703
  4. C. Tellambura, A. J, Mueller, and V. K. Bhargave, 'Analysis of M-ary Phase-Shift Keying with Diversity Reception for LandMobile Satellite Channels,' IEEE Trans. Vech. Tech., vol. 46, no. 4, November 1997
  5. V. Aalo and S. Pattaramalai, 'Average error rate for coherent MPSK signals in Nakagami fading channels,' Electron. Lett., vol. 32, (17), pp. 1538-1539, 1996 https://doi.org/10.1049/el:19961032
  6. A. Annamalai, 'Error Rates for Nakagami-m Fading Multichannel Reception of Binary and M-ary signals,' IEEE Trans. Commun., vol. 49, no.1,pp. 58-68, January 2001 https://doi.org/10.1109/26.898251
  7. V. Aalo, 'Performance of Maximal-Ratio Diversity Systems in a Correlated NakagamiFading Environment,' IEEE Trans. Commun., vol. 43, no. 8, pp. 2360-2369, August 1995 https://doi.org/10.1109/26.403769
  8. Q.T. Zhang, 'Maximal-Ratio Combining over Nakagami Fading Channels with an Arbitrary Branch Covariance Matrix,' IEEE Trans. on Vehicular. Tech., vol. 48, no. 4, pp.1141-1150, July 1999 https://doi.org/10.1109/25.775363
  9. K. Hyun, D. Yoon, S. K. Park, 'Performance Analysis of MRC Diversity for Arbitrary Rectangular QAM Signals over Nakagami Fading Channels,' IEICE Trans. Comm., vol. E87-B, no. 5, May 2004
  10. K. Cho and D. Yoon, 'On the General BER Expression of One and Two Dimensional Amplitude Modulations,' IEEE Trans. Comm., vol. 50, no. 7, pp.1074-1080, July 2002 https://doi.org/10.1109/TCOMM.2002.800818
  11. W. Weber, Differential encoding for multiple amplitude and phase shift keying systems, IEEE Trans. Comm., vol. 26, no. 3, pp. 385391, March 1978
  12. I. S. Gradshteyn, and I. M. Ryzhik, Tables of integral, series and product, Sixth Ed., Academic Press, 2000
  13. P. K. Vitthaladevuni and M. S. Alouini, 'BER Computation of 4/M-QAM Hierarchical Constellations,' IEEE Trans Broadcast., vol. 47, no. 3, September 2001
  14. T. S. Rappaport, 'Indoor Radio Cornmuni- cation for Factories of the Future,' IEEE Trans. Mag., vol. 27, no. 5, pp. 15-24, May 1989
  15. R. J. C. Bultitude and G. K. Bedal, 'Propagation Characteristics on Microcelluar Urban Mobile Radio Channels at 910 MHz,' IEEE J. Select. Areas Commun., vol. 7, no. 1, pp. 31-39, Jan. 1989 https://doi.org/10.1109/49.16841
  16. 현광민, 윤동원, 박상규, '동일 채널 간섭이 존재하는 Nakagami 채널에서의 임의 직사각 QAM 신호의 MRC 다이버시티 수신 성능,' 한국통신학회논문지, Vol.29, No.3A, pp.257-265, 2004
  17. C. Tellambura, A.J. Mueller, and V.K. Bhargava; 'Analysis of M-ary phase-shift keying with diversity reception for land mobile satellite channels,' IEEE Trans. on Veh. Tech., vol. 46, no. 4, pp. 910-922, Nov. 1997 https://doi.org/10.1109/25.653065