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

The Korean Institute of Commucations and Information Sciences (한국통신학회)
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Exact Analysis of a Real-Number M-ary QAM

실수 M진 QAM의 정확한 분석

  • Jeon, Seong-bae (Kumoh National Institute of Technology Department of Electronic Engineering) ;
  • Lee, Ji-hoon (Kumoh National Institute of Technology Department of Electronic Engineering) ;
  • Chung, Hae (Kumoh National Institute of Technology Electronic Engineering)
  • Received : 2016.12.25
  • Accepted : 2017.01.31
  • Published : 2017.02.28
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Abstract

The real number M-ary QAM system can reduce PAPR and effectively improve the transmission efficiency as it increases gradually the value of M according to the state of channel. However, only approximate performance analysis was performed due to the complexity of the analysis. In this paper, we introduce an exact performance analysis considering the change of a boundary line due to the difference in frequency of use of the signal points. Also, we propose a new constellation of 2 time dimension ($3{\times}2^m$)-ary QAM with odd m which has better performance in PAPR. In the performance analysis, we obtain the signal point error rate and the bit error rate of real number M-ary QAM for the various values of m and compare performance between the proposed QAM and the conventional $2^k-ary$ QAM with integer k.

실수 M진 QAM 시스템은 PAPR을 낮추고 M 값을 점진적으로 증가시켜 채널 상태에 따라 전송 효율을 효과적으로 높일 수 있는 장점을 가지고 있으나, 분석의 복잡성으로 인해 근사적인 성능 분석만 수행되었다. 본 논문에서는 성상도 상의 신호 점들의 사용 빈도 차이로 인해 발생하는 경계선의 변화를 고려하는 정확한 성능분석을 수행한다. 그리고 PAPR에서 확연히 우수한 성능을 가지고 있는 2 시간 차원 ($3{\times}2^m$)진 QAM (홀수 m) 시스템의 성상도를 제안한다. 성능분석에 있어서 실수 M진 QAM에 대한 신호 점의 오류율과 비트 오류율을 m 값에 대하여 일반화하고 기존의 $2^k$진 QAM (정수 k)간의 성능을 비교한다.

Keywords

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