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

  • 제36권4A호
  • /
  • Pages.325-328
  • /
  • 2011
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  • 1226-4717(pISSN)
  • /
  • 2287-3880(eISSN)
한국통신학회 (The Korean Institute of Commucations and Information Sciences)
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이변량 가우시안 Q-함수의 Craig 표현에 대한 기하학적인 유도

A Geometric Derivation of the Craig Representation for the Two-Dimensional Gaussian Q-Function

  • 박승근 (한국전자통신연구원 전자파환경연구팀) ;
  • 이일규 (공주대학교 전기전자제어공학부)
  • 투고 : 2010.11.12
  • 심사 : 2011.02.08
  • 발행 : 2011.04.30
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초록

본 논문에서는 기하학적인 관점으로 이변량 가우시안 Q-함수의 Craig 표현에 대한 새롭고 간단한 유도를 제시하고 있다. 또한, 이러한 기하학적인 유도는 이변량 가우시안 Q-함수의 또 다른 Craig 표현 식을 제시하고 있다. 새롭게 유도된 이변량 가우시안 Q-함수의 Craig 식은 2개의 상관 가우시안 잡음에서 직교좌표의 변환으로 생성되는 2개 웨지 영역의 기하학으로부터 새롭게 구한 것이다. 제시된 Craig 형태는 이변량 가우시안 Q-함수로 표현되는 확률을 계산하는데, 중요한 역할을 할 수 있다.

In this paper, we present a new and simple derivation of the Craig representation for the two-dimensional (2-D) Gaussian Q-function in the viewpoint of geometry. The geometric derivation also leads to an alternative Craig form for the 2-D Gaussian Q-function. The derived Craig form is newly obtained from the geometry of two wedge-shaped regions generated by the rotation of Cartesian coordinates over two correlated Gaussian noises. The presented Craig form can play a important role in computing the probability represented by the 2-D Gaussian Q-function.

키워드

참고문헌

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