대한전기학회논문지:시스템및제어부문D (The Transactions of the Korean Institute of Electrical Engineers D)

대한전기학회 (The Korean Institute of Electrical Engineers)
권호 표지

위상만을 이용한 신호복원의 유일성 판단법

Uniqueness Criteria for Signal Reconstruction from Phase-Only Data

  • 이동욱 (정회원, 동국대 공대 전기공학과) ;
  • 김영태 (정회원, 동국대 전기공학과)
  • 발행 : 2001.02.01
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초록

In this paper, we propose an alternate method for determining the uniqueness of the reconstruction of a complex sequence from its phase. Uniqueness constraints could be derived in terms of the zeros of a complex polynomial defined by the DFT of the sequence. However, rooting of complex polynomials of high order is a very difficult problem. Instead of finding zeros of a complex polynomial, the proposed uniqueness criteria show that non-singularity of a matrix can guarantee the uniqueness of the reconstruction of a complex sequence from its phase-only data. It has clear advantage over the rooting method in numerical stability and computational time.

키워드

참고문헌

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