Journal of the Korea Society for Simulation (한국시뮬레이션학회논문지)

The Korea Society for Simulation (한국시뮬레이션학회)
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Research on an Engagement Level Underwater Weapon System Model with Neyman-Pearson Detector

Neyman-Pearson 표적 탐지기를 적용한 수중 무기체계 교전수준 모델 개발 연구

  • 조현진 (해군사관학교 전기전자공학과) ;
  • 김완진 ;
  • 김상훈 (해군본부 정책실 대외정책과) ;
  • 양호철 (해군본부 정보작전참모부 부대계획과) ;
  • 이희광 (해군본부 인사참모부 근무행정과)
  • Received : 2019.02.01
  • Accepted : 2019.05.28
  • Published : 2019.06.30
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Abstract

This paper introduces the simulation concepts and technical approach of underwater weapon system performance analysis simulator, especially focused on probabilistic target detection concepts. We calculated the signal excess (SE) value using SONAR equation, then derived the probability density function(PDF) for target presence($H_1$) or absence($H_0$) cases, respectively. With the Neyman-Pearson detector criterion, we got the probability of detection($P_D$) while satisfying the given probability of false alarm($P_{FA}$). At every instance of simulation, target detection is decided in the probabilistic perspective. With the proposed detection implementation, we improved the model fidelity so that it could support the tactical decision during the operation.

본 연구에서는 수중 무기체계의 효과도 예측을 위하여 개발한 교전 수준 시뮬레이터에 대해서 표적탐지 여부의 확률적 접근 방법을 적용한 개념 및 그 예시를 소개하고 있다. 소나 방정식에 의해서 산출되는 SE(Signal excess)을 이용하여 표적의 존재 여부($H_0$ 혹은 $H_1$)에 따른 확률 분포 함수(PDF, Probability density function)을 유도하였다. 이후 Neyman-Pearson 탐지기에 따라 $P_{FA}$(Probability of false alarm)을 만족하는 $P_D$(Probablity of detection)을 구하고 탐지 여부를 확률적으로 판단하도록 설계하였다. 표적의 탐지와 관련된 현실적인 접근방법을 도입함으로써 시뮬레이터의 충실도를 높일 수 있었으며, 실험 결과는 전술 구상의 보조 정보로 활용할 수 있을 것이라 예상한다.

Keywords

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Fig. 1. Collision triangle (Cho 2018)

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Fig. 3. PD of two types of Sound Source: Omni-directional(Left) and Cardioid(Right) (VM = 0KTS and PFA=0.01%)

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Fig. 4. PD of two types of Sound Source: Omni-directional(Left) and Cardioid(Right) (VM = 35KTS and PFA=0.01%)

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Fig. 5. PD of two types of Sound Source: Omni-directional(Left) and Cardioid(Right) (VM = 35KTS and PFA=1%)

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Fig. 6. Torpedo performance analysis (without evasive maneuver and decoy case)

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Fig. 7. Torpedo performance analysis (with evasive maneuver and decoy case)

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Fig. 8. Torpedo performance analysis (use only one anti-torpedo method)

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Fig. 2. Basic components of an energy detection system (Urick, 1983)

Table 1. Hierarchy of detection problems (Kay, 1998) and research model is corresponding to asterisk(*)

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