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

The Korean Institute of Commucations and Information Sciences (한국통신학회)
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Bit Error Rate of Generalized Triangular QAM

일반화된 TQAM의 비트 오류 확률

  • Received : 2014.04.14
  • Accepted : 2014.05.12
  • Published : 2014.05.31
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Abstract

Quadrature Amplitude Modulation (QAM) is widely used in contemporary wired and wireless communications systems. In this paper, I propose a generalized triangular quadrature amplitude modulation (gTQAM) that includes the square quadrature amplitude modulation (SQAM), TQAM, and ${\Theta}$-QAM as special cases. Therefore, the proposed gTQAM forming a lattice of arbitrary triangles provides a versatile structure in signal constellations compared to other QAM schemes. For M-ary gTQAM, I derive an exact closed-form expression for the bit error rate (BER), and present the optimal signal constellations for given SNR values from the derived BER expression. Finally, I validate the derived BER results through computer simulations.

직교 진폭 변조 (QAM)은 현재 유무선 통신 시스템에서 널리 사용되고 있다. 본 논문에서는 정방형 QAM, TQAM, ${\Theta}$-QAM을 포함하는 일반화된 TQAM을 제안한다. 따라서, 다른 QAM 계열에 비교해서 임의의 일반 삼각형 격자 구조를 갖는 이 일반화된 TQAM은 신호점 배치에서 다양한 구조를 제공한다. 변조 지수 M 의 일반화된 TQAM에 대한 BER을 정확한 closed-form 수식으로 유도하며 이 수식을 이용하여 최적의 신호점 배치 방안을 제시한다. 마지막으로, 이 유도한 수식 결과에 대해 컴퓨터 시뮬레이션을 통해 비교 검증한다.

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References

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