Matrix Pencil Method using Unitary Transform

Unitary 변환을 이용한 Matrix Pencil 방법

  • Koh, Jin-Hwan (School of Electrical and Electronic Engineering, ERI, GyeongSang National University) ;
  • Zhou, WeiWei (School of Electrical and Electronic Engineering, ERI, GyeongSang National University) ;
  • Kim, Tae-Kon (Department of Electronics and Information Engineering, Korea University)
  • 고진환 (경상대학교 전기전자공학부) ;
  • 주위위 (경상대학교 전기전자공학부) ;
  • 김태곤 (고려대학교 전자 및 정보공학부)
  • Published : 2007.03.25

Abstract

Since the Matrix Pencil (MP) method can be performed to estimate multiple DOAs by using only single snapshot, this method is suitable for short data length or when the environment is dynamic. As the number of array increases, the computational load increases due to complex number computation. This paper presents an approach based on a unitary matrix pencil (MP) algorithm to reduce the computational load. Unitary transformation for the MP method has been suggested and formulated successfully. The computer simulation shows that the error rate of proposed method agree with that of MP for different SNR values.

기존의 Matrix pencil 방식은 하나의 스냅샷으로 프로세싱 하기 때문에 신호의 다중경로가 존재하는 경우이거나 데이터 길이가 짧은 경우, 또는 환경이 nonstationary한 환경에서 DOA 추정에 적합한 방법이다. 그러나 array의 수가 많아지는 경우에는 복소수 계산으로 인하여 계산시간이 상당히 늘어나게 된다. 본 논문에서는 Matrix Pencil 방법의 계산량을 줄이기 위하여 unitary 변환을 이용한 Matrix Pencil방법을 제안 하였다. Unitary 변환이 Matrix Pencil에 성공적으로 적용되었으며, 컴퓨터 실험결과는 SNR에 따른 error을이 일치함을 보여 준다.

Keywords

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