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Study on Class Separability Measure for Radar Signals

레이다 신호의 클래스 분리도 측정을 위한 연구

  • Jeong, Seong-Jae (Department of Electrical Engineering, Pohang University of Science and Technology) ;
  • Lee, Seung-Jae (Department of Electrical Engineering, Pohang University of Science and Technology) ;
  • Kim, Kyung-Tae (Department of Electrical Engineering, Pohang University of Science and Technology)
  • 정성재 (포항공과대학교 전자공학과) ;
  • 이승재 (포항공과대학교 전자공학과) ;
  • 김경태 (포항공과대학교 전자공학과)
  • Received : 2018.01.29
  • Accepted : 2018.02.21
  • Published : 2018.02.28

Abstract

In this paper, we propose a novel class separability measure for radar signals. To reduce the sensitivity of the relative aspect angle between a target and radar, to evaluate the discriminatory power of radar signals, the proposed method first calculates the correlation coefficients between two radar cross sections (RCSs) or linearly shifts one-dimensional (1D) radar signals (i.e., high-resolution range profiles (HRRPs)), or rotates two 2D radar signals (i.e., inverse synthetic aperture radar (ISAR) images). Then, it uses the maximum correlation coefficient when two radar signals are best aligned. Next, the proposed method obtains new correlation-based discriminant matrices (CDM) using maximum correlation coefficients. Finally, the cumulative distribution function (CDF) in the CDM and the value corresponding to the specific probability in the CDF are obtained, and this value represents the discriminatory power of the radar signal. Experimental results show that the proposed method can accurately measure the target separability.

본 논문에서는 레이다 신호를 위한 새로운 클래스간 분리도 측정 방법을 제시한다. 제안된 방법에서는 표적과 레이다 간의 상대적 각도 차이의 따른 레이다 신호의 민감도를 감소시키기 위해 RCS(radar cross section)의 경우 두 신호의 상관계수(correlation coefficient)를 구하고, 1차원 신호의 경우(i.e., high resolution range profile(HRRP)) 선형이동을 하며 상관계수를 구한다. 2차원 레이다 신호(i.e., inverse synthetic aperture radar(ISAR))의 경우 두 레이다 신호를 회전하면서 상관계수를 계산한다. 그런 다음, 두 레이다 신호가 가장 잘 배열되었을 경우의 최대 상관계수를 구하고, 이를 이용해 새로운 형태의 상관 기반 분리 행렬을 구성한다. 상관 기반 분리 행렬의 누적분포함수를 구하여 상위 확률에 응답하는 값을 구하였고, 그 값은 레이다 신호의 분리 능력을 정확하게 나타낸다. 제안한 방법을 이용한 실험 결과, 표적 분리 능력을 정확하게 추정할 수 있었다.

Keywords

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