An Efficient Broadband Adaptive Beamformer without Presteering Delays.

An Efficient Broadband Adaptive Beamformer without Presteering Delays.
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无预延迟的高效宽带自适应波束形成器

DOI:
10.3390/s21041100
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发表时间:
2021-02-05
期刊:
Sensors (Basel, Switzerland)
影响因子:
--
通讯作者:
Zhang A
Zhang A
中科院分区:
其他
文献类型:
--
作者:
Zhang M;Wang X;Zhang A

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宽带自适应波束形成器由于其在空域和频域都具有对信号进行滤波的能力,已在许多领域得到广泛应用。然而,宽带波束形成器中使用的时空阵列需要预导向延迟来对齐来自特定方向的信号。由于预导向延迟与方向有关,在实际中很难实现精确的延迟。消除预导向延迟的一种常见方法是对时空阵列的权向量施加约束。然而,现有方法没有考虑约束矩阵的结构,导致在更新权向量时计算复杂度为$O(N^3)$。在本文中,我们描述了一种新的时域约束方法,该方法保留了约束矩阵的块对角结构。基于这种结构,我们设计了一种高效的权向量更新算法,其计算复杂度为$O(N)$。此外,所提出的算法不包含矩阵运算(仅涉及标量和向量运算),使其易于在诸如FPGA等芯片中实现。而且,当信号的分数带宽小于$10\%$时,所提方法的约束精度与频率约束方法一样高。数值实验表明,我们的方法在保持更简单的算法结构和更低的计算成本的同时,实现了与现有最佳方法相同的性能。
Broadband adaptive beamformers have been widely used in many areas due to their ability of filtering signals in space domain as well as in frequency domain. However, the space-time array employed in broadband beamformers requires presteering delays to align the signals coming from a specific direction. Because the presteering delays are direction dependent, it is difficult to make precise delays in practice. A common way to eliminate the presteering delays is imposing constraints on the weight vector of the space-time array. However, the structure of the constraint matrix is not taken into account in the existing methods, leading to a computational complexity of O(N2) when updating the weight vector. In this paper, we describe a new kind of constraint method in time domain that preserves the block diagonal structure of the constraint matrix. Based on this structure, we design an efficient weight vector update algorithm that has a computational complexity of O(N). In addition, the proposed algorithm does not contain matrix operations (only scalar and vector operations are involved), making it easy to be implemented in chips such as FPGA. Moreover, the constraint accuracy of the proposed method is as high as the frequency constraint method when the fractional bandwidth of the signal is smaller than 10%. Numerical experiments show that our method achieves the same performance of the state-of-the-art methods while keeping a simpler algorithm structure and a lower computational cost.
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