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

The Korean Institute of Commucations and Information Sciences (한국통신학회)
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Quaternary Sequence with Maximum Autocorrelation of 3

최대 자기 상관값이 3인 4진 수열

  • 장지웅 (UCSD 전기컴퓨터공학부) ;
  • 김상효 (성균관대학교 정보통신공학부) ;
  • 임대운 (동국대학교 정보통신공학과)
  • Published : 2009.02.28
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Abstract

In this paper, we propose a quaternary sequence with good autocorrelation property. New quaternary sequence is generated by using inverse Gray mapping and binary sequence with ideal autocorrelation. And the maximum magnitude of nontrivial correlation value is 3. Proposed quaternary sequence has only one 1 in one period, so called almost binary sequence. Therefore the balance property is not good, but value of its weight function is nearly 0.

본 논문에서는 우수한 상관값을 갖는 새로운 4진 수열의 생성법을 제안한다. 새로운 4진 수열은 이상적인 자기상관 특성을 갖는 이진 수열과 역 Gray 사상을 이용하여 생성하며 0이 아닌 위상차에서 갖는 자기 상관 값의 최대 크기는 3이다. 새로운 4진 수열은 2진 수열의 형태에 하나의 허수부를 갖는 근사 이진 수열의 형태를 가지므로 균형성이 크게 어긋나나 문자열의 합은 0에 매우 근사한 형태를 갖는다.

Keywords

References

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