Gray 사상을 이용한 이진 낮은 상관구역 수열군의 생성법

Construction Method of Binary Low Correlation Zone Sequence Set Using Gray Mapping

  • 발행 : 2009.02.28

초록

본 논문에서는 이진 낮은 상관 구역 수열군의 새로운 생성법을 제안한다. 새로운 수열군은 Kim과 Jang, No, Chung이 제안한 4진 낮은 상관 구역 수열군에 Gray 사상을 적용하여 생성한다. 새로 생성된 이진 수열군의 주기는 생성에 사용한 4진 수열군의 주기의 2배이며, 낮은 상관구역 내 상관 값의 최대 크기 및 수열군의 크기는 생성에 사용한 수열군의 그것의 2배가 된다. 그러나 낮은 상관 구역의 크기는 그대로 유지된다. 생성에 사용한 4진 낮은 상관 구역 수열군의 최적인 경우 새로 생성된 이진 수열군은 높은 확률로 최적의 수열군이 된다.

In this paper, we propose a new construction method of binary low correlation zone (LCZ) sequence set. New construction method applies Gray mapping to conventional quaternary LCZ sequence set that has specific property. The period of new binary sequence set is twice as that of used sequence set in construction, and maximum magnitude of correlation value within the LCZ and cardinality of new set is also twice as those of used quaternary sequence set. But the LCZ size is the same with that of used sequence set. If the used Quaternary sequence set is optimal, the constructed binary sequence set is optimal with high probability.

키워드

참고문헌

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