The Transactions of The Korean Institute of Electrical Engineers (전기학회논문지)

The Korean Institute of Electrical Engineers (대한전기학회)
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A Study of Broad-band Conformal Beam Forming using Moving Least Squares Method

Moving Least Squares 기법을 이용한 광대역 컨포멀 빔 형성 연구

  • Jung, Sang-Hoon (Dept. of Electrical and Computer Engineering, Seoul National University) ;
  • Lee, Kang-In (Dept. of Electronic Convergence Engineering, Kwangwoon University) ;
  • Jung, Hyun-Kyo (Dept. of Electrical and Computer Engineering, Seoul National University) ;
  • Chung, Young-Seek (Dept. of Electronic Convergence Engineering, Kwangwoon University)
  • Received : 2018.10.15
  • Accepted : 2018.12.07
  • Published : 2019.01.01
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Abstract

In this paper, beam forming using moving least squares method (MLSM) is studied. In the previous research, the least squares method (LSM), one of the data interpolation methods, was used to determine the desired beam pattern and obtain a beam pattern that minimizes the square of the error with the desired beam pattern. However, LSM has a disadvantage in that the beam pattern can not be formed to satisfy the exact steering angle of the desired beam pattern and the peak sidelobe level (PSLL) condition. To overcome this drawback, MLSM is used for beam forming. In order to verify, the proposed method is applied in beam forming of Bezier platform array antenna which is one of conformal array antenna platform.

Keywords

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그림 1 Bezier 플랫폼과 제어점 Fig. 1 Bezier platform and control points

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그림 2 선형 배열 안테나의 빔 패턴과 Taylor 가중치를 적용한빔 패턴 Fig. 2 Beam pattern of linear array antenna and its Taylorweighted beam pattern

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그림 3 목표 빔 패턴의 위상 보상 결과 Fig. 3 Phase compensation result of the desired beam pattern

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그림 4 GA를 이용하여 획득한 최적 소자 위치 Fig. 4 Optimum element positions obtained by GA

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그림 5 LSM을 이용한 최적 빔 형성 결과(주파수 2~6GHz 대역, 조향각 -30º) Fig. 5 Result of optimum beam forming using LSM (Frequency 2~6 GHz, Steering angle -30º)

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그림 6 MLSM을 이용한 최적 빔 형성 결과(주파수 2~6GHz 대역, 조향각 -30º) Fig. 6 Result of optimum beamforming using MLSM (Frequency 2~6 GHz, Steering angle -30º)

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그림 7 LSM을 이용한 최적 빔 형성 결과(주파수 2~6GHz 대역, 조향각 0º) Fig. 7 Result of optimum beam forming using LSM (Frequency 2~6 GHz, Steering angle 0º)

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그림 8 MLSM을 이용한 최적 빔 형성 결과(주파수 2~6GHz 대역, 조향각 0º) Fig. 8 Result of optimum beam forming using MLSM (Frequency 2~6 GHz, Steering angle 0º)

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그림 9 LSM을 이용한 최적 빔 형성 결과(주파수 2~6GHz 대역, 조향각 30º) Fig. 9 Result of optimum beam forming using LSM (Frequency 2~6 GHz, Steering angle 30º)

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그림 10 MLSM을 이용한 최적 빔 형성 결과(주파수 2~6GHz 대역, 조향각 30º) Fig. 10 Result of optimum beam forming using MLSM (Frequency 2~6 GHz, Steering angle 30º)

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그림 11 조향각과 주파수에 따른 LSM과 MLSM의 PSLL 비교 Fig. 11 PSLL comparison between LSM and MLSM according to steering angle and frequency

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그림 12 조향각과 주파수에 따른 LSM과 MLSM의 조향각 비교 Fig. 12 Steering angle comparison between LSM and MLSM according to steering angle and frequency

표 1 3차원 Bezier 곡선의 제어점 Table 1 Control points of the 3-D Bezier curve

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표 2 GA 파라미터 Table 2 Parameters of GA

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표 3 시뮬레이션 조건 Table 3 Condition of simulation

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표 4 LSM과 MLSM의 평균 PSLL, 메인 빔의 조향각 비교 Table 4 Mean PSLL and steering angle comparison of LSM and MLSM

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