迭代优化最小化唯相位波束形成

吴凯; 苏涛; 李强

doi:10.11999/JEIT160472

迭代优化最小化唯相位波束形成

doi: 10.11999/JEIT160472

吴凯¹,
苏涛¹,
李强¹

基金项目:

国家自然科学基金(51405364, 51305323)

计量
- 文章访问数: 1326
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- 被引次数: 0
出版历程
- 收稿日期: 2016-05-10
- 修回日期: 2016-09-12
- 刊出日期: 2017-03-19

Phase-only Beamforming via Iterative Majorization Minimization

Funds:

The National Natural Science Foundation of China (51405364, 51305323)

摘要

摘要: 为了增强唯相位波束形成(Phase-Only Beamforming, POB)的干扰和噪声抑制性能，提高非凸POB权值求解的实时性，该文设计了迭代优化最小化(Iterative Majorization Minimization, IMM)唯相位最小方差无失真响应波束形成器(Minimum Variance Distortion-less Response Beamformer, MVDRB)。将无失真响应约束转化成最大化期望方向阵列响应，推导了二次型目标函数的上界，得到IMM-POB优化模型，并进一步推导出每次迭代的闭式最优解。仿真分析表明所设计的IMM-POB：在相同输入信噪比下，可获得高于现有迭代算法和最优MVDRB的信干噪比改善；干扰抑制性能几乎完全逼近最优MVDRB，且具有更优的噪声抑制性；受快拍数影响较小；闭式最优权仅包含单次矩阵和向量乘法，使算法具有较强的实时性，可应用于大规模阵列。
- 大规模阵列 /
- 波束形成 /
- 唯相位 /
- 最小方差无失真响应 /
- 优化最小化
Abstract: To improve the interference and noise suppression ability of Phase-Only Beamforming (POB) and the real-time performance to obtain the optimal weight of the uon-convex POB, a phase-only Minimum Variance Distortion-less Response Beamformer (MVDRB) via the Iterative Majorization Minimization (IMM) algorithm is designed. The distortion-less response constraint is transformed into maximizing array response in the desired direction. The upper bound function of the objective function in quadratic form is derived which generates the IMM-POB model. The optimal weight in closed-form for each iteration is further deduced. Simulation analysis illustrates that the proposed IMM-POB can obtain better signal to interference and noise ratio improvement compared with the existing iterative POB algorithms and the optimal MVDRB; its interference suppression ability approximates the optimal MVDRB with better noise suppression ability; it is much less sensitive to the number of array taps compared with the optimal MVDRB; it has strong real-time performance and can be applied to large-scale array.
- Large-scale array /
- Beamforming /
- Phase-only /
- Minimum variance distortion-less response /
- Majorization minimization

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