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A beamforming design for weighted sidelobe power leakage minimization

一种最小化加权旁瓣功率泄漏的波束赋形n

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Abstract

In this paper, a beamforming scheme for minimizing the weighted sidelobe power leakage while maintaining the norm of the weight vector at unity is proposed. The proposed criterion is very flexible because weighting factors are added to the sidelobes in the object function, and the weighting factors can be adjusted according to any design purpose, e.g., to minimize the interference within a direction of arrival (DoA) range. To acquire the minimum sidelobe power leakage, we first express the sidelobe power through the sidelobe coefficient matrix. Afterwards, the minimization problem can be treated as the 2-norm minimization of the sidelobe coefficient matrix. The optimal weighting vector design is then derived by singular value decomposition (SVD). Simulation results show that the proposed beamformer can decrease the sidelobe power leakage and efficiently suppress interference with barely any increase in the sidelobes; moreover, this beamforming scheme provides good robustness in consideration of the DOA mismatch.

创新点

本文提出了一种最小化加权旁瓣功率泄漏的波束赋形准则,该种波束赋形方案可以通过对旁瓣区域赋值以不同的权重达到灵活抑制旁瓣功率的效果。通过将最小化旁瓣功率泄漏问题建模成2-范数最小化问题,采用奇异值分解的方法给出天线权重的最优解。仿真结果表明,该种方案可以有效抑制旁瓣功率,通过调整旁瓣权重对给定方向的干扰有很强的抑制能力。同时,该种波束赋形方案对于到达角估计偏差也具有较强的鲁棒性。

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Correspondence to Meng Ma.

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Feng, C., Ma, M. & Jiao, B. A beamforming design for weighted sidelobe power leakage minimization. Sci. China Inf. Sci. 59, 062303 (2016). https://doi.org/10.1007/s11432-015-5393-8

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Keywords

  • beamforming
  • weighted sidelobe power leakage
  • 2-norm
  • singular value decomposition (SVD)
  • direction of arrival (DoA)

关键词

  • 波束赋形
  • 加权旁瓣功率泄漏
  • 2-范数
  • 奇异值分解
  • 到达角