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A beamforming design for weighted sidelobe power leakage minimization


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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.



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


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