Journal of the Korea Convergence Society (한국융합학회논문지)

Korea Convergence Society (한국융합학회)
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Performance Analysis of Monopulse System Based on Second-Order Taylor Expansion of Two Variables in the Presence of an Additive Noise

부가성 잡음이 존재하는 모노펄스 시스템 성능의 2변수 2차 테일러 전개 기반 분석

  • Ryu, Kyu-Tae (Department of Electrical Engineering, Sejong University) ;
  • Ham, Hyeong-Woo (Department of Electrical Engineering, Sejong University) ;
  • Lee, Joon-Ho (Department of Electrical Engineering, Sejong University)
  • 유규태 (세종대학교 전자정보통신공학과) ;
  • 함형우 (세종대학교 전자정보통신공학과) ;
  • 이준호 (세종대학교 전자정보통신공학과)
  • Received : 2021.11.14
  • Accepted : 2022.01.20
  • Published : 2022.01.28
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Abstract

In this paper, it is shown how the performance of the monopulse algorithm in additive noise is evaluated. In the previous study, the performance analysis of the amplitude-comparison monopulse algorithm was conducted via the first-order and second-order Taylor expansion of four variables. By defining two new random variables from the four variables, it is shown that computational complexity associated with two random variables is much smaller than that associated with four random variables. Performance in terms of mean square error is analyzed from Monte-Carlo simulation. The scheme proposed in this paper is more efficient than that suggested in the previous study in terms of computational complexity. The expressions derived in this study can be utilized in getting analytic expressions of the mean square errors.

본 논문은 부가적인 잡음이 존재할 경우 모노펄스 알고리즘의 성능을 분석한 연구이다. 이전 연구에서는 변수가 4개일 때의 1차 테일러급수 전개와 2차 테일러급수 전개를 통한 진폭비교 모노펄스 알고리즘 성능 분석을 진행하였다. 4개의 잡음랜덤변수에서 2개의 잡음랜덤변수로 새롭게 정의하였으며, 2개의 랜덤변수와 관련된 수식의 복잡성이 4개의 랜덤변수와 관련된 수식의 복잡성보다 낮은 것을 보인다. 성능분석은 평균제곱오차(Mean Square Error : MSE)관점에서 몬테카를로(Mont-Carlo) 방법을 이용하여 분석하였다. 본 논문에서 제안한 방식은 기존 연구에서 제안한 방식보다 계산 복잡도 측면에서 더 효율적이다. 또한 본 연구에서 도출된 표현을 활용하여 추정각도 평균제곱오차의 해석적 표현을 구하는데 활용될 수 있다.

Keywords

Acknowledgement

The authors gratefully acknowledge the support from Electronic Warfare Research Center at Gwangju Institute of Science and Technology (GIST), originally funded by Defense Acquisition Program Administration (DAPA) and Agency for Defense Development (ADD).

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