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

The Korean Institute of Commucations and Information Sciences (한국통신학회)
권호 표지

The Mutual Information for Bit-Linear Linear-Dispersion Codes

BLLD 부호의 Mutual Information

  • 김향란 (서울대학교 전기.컴퓨터공학부 및 뉴미디어통신공동연구소) ;
  • 양재동 (서울대학교 전기.컴퓨터공학부 및 뉴미디어통신공동연구소) ;
  • 송경영 (서울대학교 전기.컴퓨터공학부 및 뉴미디어통신공동연구소) ;
  • 노종선 (서울대학교 전기.컴퓨터공학부 및 뉴미디어통신공동연구소) ;
  • 신동준 (한양대학교 전자전기컴퓨터공학부)
  • Published : 2007.10.31
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we derive the relationship between the bit error probability (BEP) of maximum a posteriori (MAP) bit detection and the bit minimum mean square error (MMSE), that is, the BEP is greater than a quarter of the bit USE and less than a half of the bit MMSE. By using this result, the lower and upper bounds of the derivative of the mutual information are derived from the BEP and the lower and upper bounds are easily obtained in the multiple-input multiple-output (MIMO) communication systems with the bit-linear linear-dispersion (BLLD) codes in the Gaussian channel.

이 논문은 maximum a posteriori (MAP) 비트 검출(bit detection)의 비트 오류 확률 (bit error probability: BEP)과 비트 최소 평균 제곱 오류(bit minimum mean square error: bit MMSE)사이의 관계를 유도한다. BEP는 bit MMSE의 1/4 보다 크고 1/2보다 작음을 유도한다. 이 결론을 이용하면 bit-linear linear-dispersion (BLLD) 부호를 적용한 다중 입출력 (multiple-input multiple-output: MIMO) 통신 시스템에서 가우시안 채널의 mutual information의 미분 값의 하한과 상한을 BEP로부터 얻을 수 있고 나아가서 mutual information의 하한과 상한을 구할 수 있다.

Keywords

References

  1. N. Chayat and S. Shamai, Bounds on the capacity of intertransition-time-restricted binary signaling over an AWGN channel, IEEE Trans. Inf. Theory, vol. 45, no. 6, pp. 1992-2006, Sep. 1999 https://doi.org/10.1109/18.782123
  2. E. Telatar, Capacity of multi-antenna Gaussian channels, AT&T Bell Labs Tech. Rep., Jun. 1995
  3. G. J. Foschini and M. J. Gans, On limits of wireless communications in a fading environment when using multiple antennas, Wireless Personal Communications, vol. 6, pp. 311-335, Mar. 1998 https://doi.org/10.1023/A:1008889222784
  4. D. Guo, S. Shamai (shitz), and S. Verdú, Mutual information and minimum mean-square error in Gaussian channels, IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1261-1282, Apr. 2005 https://doi.org/10.1109/TIT.2005.844072
  5. Y. Jiang, R. Koetter, and A. C. Singer, On the separability of demodulation and decoding for communication over multiple-antenna block fading channels, IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2709-2712, Oct. 2003 https://doi.org/10.1109/TIT.2003.817478
  6. S.-H. Kim, I.-S. Kang, and J.-S. No, Exact bit error probability of orthogonal sapce-time block codes with quadrature amplitude modulation, in Proc. ISIT2003, p. 63, 2003
  7. X. B. Liang, Orthogonal designs with maximal rates, IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2468-2503, Oct. 2003 https://doi.org/10.1109/TIT.2003.817426
  8. S. M. Alamouti, A simple transmit diversity technique for wireless communications, IEEE J. Select. Areas Commun., vol. 16, no. 8, pp. 1451-1458, Oct. 1998 https://doi.org/10.1109/49.730453