迭代優(yōu)化最小化唯相位波束形成

吳凱; 蘇濤; 李強

doi:10.11999/JEIT160472

迭代優(yōu)化最小化唯相位波束形成

doi: 10.11999/JEIT160472

吳凱¹,
蘇濤¹,
李強¹

基金項目:

國家自然科學基金(51405364, 51305323)

計量
- 文章訪問數(shù): 1422
- HTML全文瀏覽量: 137
- PDF下載量: 389
- 被引次數(shù): 0
出版歷程
- 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: 為了增強唯相位波束形成(Phase-Only Beamforming, POB)的干擾和噪聲抑制性能，提高非凸POB權值求解的實時性，該文設計了迭代優(yōu)化最小化(Iterative Majorization Minimization, IMM)唯相位最小方差無失真響應波束形成器(Minimum Variance Distortion-less Response Beamformer, MVDRB)。將無失真響應約束轉化成最大化期望方向陣列響應，推導了二次型目標函數(shù)的上界，得到IMM-POB優(yōu)化模型，并進一步推導出每次迭代的閉式最優(yōu)解。仿真分析表明所設計的IMM-POB：在相同輸入信噪比下，可獲得高于現(xiàn)有迭代算法和最優(yōu)MVDRB的信干噪比改善；干擾抑制性能幾乎完全逼近最優(yōu)MVDRB，且具有更優(yōu)的噪聲抑制性；受快拍數(shù)影響較?。婚]式最優(yōu)權僅包含單次矩陣和向量乘法，使算法具有較強的實時性，可應用于大規(guī)模陣列。
- 大規(guī)模陣列 /
- 波束形成 /
- 唯相位 /
- 最小方差無失真響應 /
- 優(yōu)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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