Journal of the Institute of Electronics Engineers of Korea TC (대한전자공학회논문지TC)

The Institute of Electronics and Information Engineers (대한전자공학회)
권호 표지

Performance Analysis of Generic Bit Error Rate of M-ary Square QAM

정방형 M진 직교 진폭 변조 신호의 일반화된 BER 성능 분석

  • Published : 2001.11.25
Download PDF
⟨ Previous Next ⟩

Abstract

The exact general bit error rate (TIER) expression of M-ary square quadrature amplitude modulation (QAM) for arbitrary M has not been derived so far. In this paper, a generalized closed-form expression for the BER performance of M-ary square QAM with Gray code bit mapping is derived and analyzed in the presence of additive white Gaussian noise (AWGN) channel. The derivation is based on the consistency of the format in signal constellation o[ Gray coding and it has been derived from the results for M-16, 64, and 256.

이제까지 임의의 M에 대한 M진 직교 진폭 변조 신호에 대하여 일반화된 closed-form BER 표현식은 구하여진 바 없다. 이 논문에서는 가산성 백색 가우시안 잡음 환경에서 정방형 M진 직교 진폭 변조 신호의 일반화된 비트 오류 확률식을 유도하고 분석한다. M이 16, 64, 256일 때의 직교 진폭 변조 신호의 비트 오류 확률식 결과로부터 유도 과정의 규칙성을 찾아내고, 그 규칙성으로부터 임의의 M에 대한 일반화된 비트오류 확률 표현식을 유도하고 분석한다.

Keywords

References

  1. L. Hanzo, W. Webb, and T. Keller, Single- and Multi-Carrier Quadrature Amplitude Modulation, John Wiley & Sons, 2000
  2. M. P. Fitz and J. P. Seymour, 'On the Bit Error Probability of QAM Modulation,' International Journal of Wireless Information Networks, vol. 1, no. 2, pp.131-139, 1994 https://doi.org/10.1007/BF02106515
  3. J. J. Lu, K. B. Letaief, J. C-I Chuang, and M. L. Liou, 'M-PSK and M-QAM BER Computation Using Signal-Space Concepts,' IEEE Trans. Commun., vol. 47, pp.181-184, Feb. 1999 https://doi.org/10.1109/26.752121
  4. L. Yang and L. Hanzo, A Recursive Algorithm for the Error Probability Evaluation of M-ary QAM, IEEE Comm. Letters, vol.4, No.10, pp, 304-306, Oct. 2000 https://doi.org/10.1109/4234.880816
  5. W. J. Weber, III, 'Differential Encoding for Multiple Amplitude and Phase Shift Keying Systems,' IEEE Trans. Commun., vol. 26, pp, 385-391, March 1978
  6. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, Academic, 1980
  7. M. K. Simon, S. M. Hinedi and W. C. Lindsey, Digital Communication Techniques, Prentice-Hall, 1995
  8. B. Sklar, Digital Communications, Prentice-Hall, 1988
  9. I. A. Glover and P. M. Grant, Digital Communications: 2nd Edition, Prentice-Hall, 2001
  10. D. Yoon, K. Cho, and J. Lee, 'Bit Error Probability on M-ary Quadrature Amplitude Modulation', IEEE VTC Fall 2000 https://doi.org/10.1109/VETECF.2000.883298