부엽 수준 제어와 지향 공간 응답 주파수 변화량 최소화를 사용한 광대역 빔 형성기 설계법 = A Study on the Broadband Beam Pattern Synthesis Using Steering Response Variation and Sidelobe Level Control

다국어 초록 (Multilingual Abstract)

In this paper, we propose a broadband beamforming method using side lobe level control and spatial response variation (RV). By applying RV as a regularization term, a high-quality broadband beam pattern with less main lobe fluctuation in the target frequency band was obtained, and at the same time, a beamformer having a side lobe below a certain level was designed by adjusting the side lobe level of the beam. It was demonstrated that the method proposed in the design experiment is superior to the existing method in terms of the degree of variation of the beam response within the frequency used or the degree of alignment at the side lobe level of the beam.

국문 초록 (Abstract)

본 논문은 부엽 수준 조절과 응답 변화량 (RV, Response Variation)을 사용한 광대역 빔 형성 방법을 제안한다. RV를 정규화 항으로 적용하여 목표하는 주파수 대역에서 빔의 주엽 변동이 적은 양질의 광대역 빔 패턴을얻고 동시에 빔의 부엽 수준 조절을 통해서 일정 수준 이하의 부엽을 갖는 빔형성기를 설계하도록 하였다. 설계실험에서 제안한 방법이 기존 방법보다 사용 주파수 내 빔 응답의 변이 정도나 빔의 부엽 수준 정렬 정도 면에서우수함을 입증하였다.

참고문헌 (Reference)

1 임준석, "반복형 위너 필터 방법에 기반한 재귀적 완전 최소 자승 알고리즘의 견실화 연구" 한국음향학회 40 (40): 213-218, 2021

2 E. L. Hixson, "Wide-bandwidth constant beamwidth acoustic array" 48 (48): 117-, 1970

3 J. Yang, "Weighted non-linear criterion-based adaptive generalised eigen-decomposition" 7 (7): 285-295, 2013

4 D. B. Ward, "Theory and design of broadband sensor arrays with frequency invariant far-field beam patterns" 97 (97): 1023-1034, 1995

5 Y. Zhao, "Subband design of fixed wideband beamformers based on the least squares approach" 91 (91): 1060-1065, 2011

6 J. Yang, "Robust adaptive modified newton algorithm for generalized eigendecomposition and its application" 2007 (2007): 1-10, 2007

7 B. D. Steinberg, "Principles of aperture &array system design" John Wiley & Sons 110-111, 1976

8 S. Yan, "Optimal design of FIR beamformer with frequency invariant patterns" 67 (67): 511-528, 2006

9 D. B. Ward, "FIR filter design for frequency invariant beamformers" 3 (3): 69-71, 1996

10 R. Du, "Design of fixed wideband beamformer through improved maximum energy approach" 2016 (2016): 1-7, 2016

11 S. Boyd, "CVX: Matlab Software for Disciplined Convex Programming"

12 V. Veen, "Beamforming : a versatile approach to spatial filtering" 5 (5): 4-24, 1988

13 H. Lebret, "Antenna array pattern synthesis via convex optimization" 45 (45): 526-532, 1972

14 L. Shi, "An improved real-coded genetic algorithm for the beam forming of spaceborne SAR" 60 (60): 3034-3040, 2012

15 Y. Albagory, "An efficient approach for sidelobe level reduction based on recursive sequential damping" 13 (13): 1-22, 2021

16 O. L. Frost, "An algorithm for linearly cconstrained adaptive array processing" 60 (60): 926-935, 1972

17 P. Chen, "A novel adaptive wideband frequency invariant beamforming algorithm for conformal arrays" 2017 : 1-10, 2017