Closed-form Expression for the Symbol Error Probability of Orthogonal Space-Time Block Codes with Quadrature Amplitude Modulation

QAM 변조방식을 갖는 직교 시공간 블록 부호의 심볼 오율

  • 김상효 (서울대학교 전기컴퓨터공학부) ;
  • 강익선 (서울대학교 전기컴퓨터공학부) ;
  • 노종선 (서울대학교 전기컴퓨터공학부)
  • Published : 2003.06.01

Abstract

In this paper, for my linear orthogonal space-time block including the orthogonal space-time codes introduced by Alamouti[1], Tarokh[14], and Xia[11], the exact expression for the pairwise error probability in the slow Rayleigh fading channel is derived in terms of the message symbol distance between two message vectors rather than the codeword symbol distance between two transmitted codeword matrices. Using the one-dimensional component symbol error probability, the exact closed form expressions for the symbol error probability of linear orthogonal space-time codes are derived for QPSK, 16-QAM, 64-QAM, and 256-QAM.

본 논문에서는 Alamouti[1], Tarokh[14], Xia[11]에 의해 도입된 직교 시공간 부호를 포함한 임의의 선형 직교 시공간 블록 부호에 대해, 느린 레일라이 페이딩 채널(slow Rayleigh fading channel)의 쌍간 오율(pairwise error probability)의 정확한 표현이 2개의 전송된 부호어 행렬(codeword matrices) 사이의 부호어 심볼 거리(codeword symbol distance)가 아니라, 2개의 메시지 벡터(messgae vector) 사이의 메시지 심볼 거리(message symbol distance)의 식으로 유도된다. 1차원 성분의 심볼 오율을 이용하여, 선형 직교 시공간 부호의 심볼 오율의 정확한 폐형의 표현이 QPSK, 16-QAM, 64-QAM과 256-QAM에 대해 유도된다.

Keywords

References

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