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

  • 제31권9C호
  • /
  • Pages.831-839
  • /
  • 2006
  • /
  • 1226-4717(pISSN)
  • /
  • 2287-3880(eISSN)
한국통신학회 (The Korean Institute of Commucations and Information Sciences)
권호 표지

계층적 MPSK 신호에 대한 일반화된 BER 성능

Performance of Generalized BER for Hierarchical MPSK Signal

  • 이재윤 (한양대학교 전자통신컴퓨터공학부) ;
  • 윤동원 (한양대학교 전자통신컴퓨터공학부) ;
  • 현광민 (원주대학 정보통신과) ;
  • 박상규 (한양대학교 전자통신컴퓨터공학부)
  • 발행 : 2006.09.01
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⟨ 이전 논문 다음 논문 ⟩

초록

본 논문에서는 수신기에서 I/Q 위상 및 진폭 불균형을 갖는 계층적 MPSK(Hierarchical M-ary Phase Shift Keying) 신호에 대해 수치 적분이 필요 없는 정확하고 일반화된 closed-form 형태의 비트 오류 확률(Bit Error Probability) 표현을 유도한다. 새롭게 유도된 비트 오류 확률 표현은 간결한 형태의 일반화된 식으로 되어 있어 다양한 환경으로의 적용이 용이하다. 뿐만 아니라, 계층적 MPSK를 적용하는 많은 디지털 통신 시스템에서 복조시 발생할 수 있는 I/Q 불균형들에 의한 시스템 성능 변화에 대하여 정확한 이론적 성능 기준을 제공할 것으로 기대된다.

In this paper, we present an exact and general expression involving two-dimensional Gaussian Q-functions for the bit error rate (BER) of hierarchical MPSK with I/Q phase and amplitude imbalances over an additive white Gaussian noise (AWGN) channel. First we derive a BER expression for the k-th bit of hierarchical 4, 8, 16-PSK signal constellations when Gray code bit mapping is employed. Then, from the derived k-th bit BER expression, we present the exact and general average BER expression for hierarchical MPSK with I/Q phase and amplitude imbalances. This result can readily be applied to numerical evaluation for various cases of practical interest in an I/Q unbalanced hierarchical MPSK system, because the one- and two-dimensional Gaussian Q-functions can be easily and directly computed usinB commonly available mathematical software tools.

키워드

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