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

The Korean Institute of Commucations and Information Sciences (한국통신학회)
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Matrix Pencil Method Using Fourth-order Statistic

4차 통계량을 이용한 Matrix Pencil Method

  • 장우진 (경상대학교 전자공학과 AWC 연구실) ;
  • 왕혁소 (경상대학교 전자공학과 AWC 연구실) ;
  • 주위위 (경상대학교 전자공학과 AWC 연구실) ;
  • 고진환 (경상대학교 전자공학과 AWC 연구실)
  • Published : 2006.06.01
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Abstract

In array signal processing, high order statistics can be used to estimate parameters from signal of sums of complex exponential. In this paper, we derive two types of direction finding algorithms which use the fourth-order cumulant and moment of the received array data. Since the fourth order cumulant can suppress the Gaussian noise, the response of MPM has better noise immunity than the conventional approaches. The performance of each method in regard to the probability of resolution and SNR in the presence of the Gaussian noise is investigated. As a result, the proposed method applied to the fourth-order statistic can find DOA more correctly in the presence of the Gaussian noise.

Array 신호처리에서 복소 지수함수의 합으로 구성된 신호의 파라미터를 추정하는데 고차 통계를 이용할 수 있다. 본 논문에서는 기존의 MPM(matrix pencil method)보다 효과적으로 DOA를 판별하기 위해 MPM에 4차 cumulant와 moment 통계량을 적용하였다. 4차 cumulant 통계량은 선형 배열안테나에 입사하는 신호에 포함된 Gaussian 잡음을 효과적으로 감소시킬 수 있다. Gaussian 잡음이 존재하는 환경에서 기존의 방법과 4차 통계량을 이용한 방법을 시뮬레이션 함으로써 SNR과 DOA 분해능에 대하여 성능을 분석하였다. 결과로써 4차 통계량을 이용한 MPM이 기존의 MPM보다 우수함을 보였으며, 또한 4차 moment보다는 4차 cumulant 적용이 더 우수함을 증명하였다.

Keywords

References

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