We develop sparse array receive beamformer design methods achieving maximum signal-to-interference plus noise ratio (MaxSINR) for wideband sources and jammers. Both tapped delay line (TDL) filtering and the DFT realizations to wideband array processing are considered. The array sparsity stems from the limited number of available RF transmission chains that switch between the sensors, thereby configuring different arrays at different times. The sparse array configuration design problem is formulated as a quadratically constraint quadratic program (QCQP) and solved by using SDR (semidefinite relaxation). A computationally viable approach through SCA (successive convex relaxation) is also pursued. In order to realize an implementable design, in presence of missing autocorrelation lags, we propose parameter-free block Toeplitz matrix completion to estimate the received data correlation matrix across the entire array aperture. It is shown that the optimum wideband sparse array effectively utilizes the array aperture and provides considerable performance improvement over suboptimal array topologies.

中文翻译：

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宽带信号模型的稀疏阵列波束成形设计

我们开发了稀疏阵列接收波束形成器设计方法，可实现宽带源和干扰机的最大信号干扰加噪声比 (MaxSINR)。抽头延迟线 (TDL) 滤波和宽带阵列处理的 DFT 实现都被考虑在内。阵列稀疏源于在传感器之间切换的可用射频传输链数量有限，从而在不同时间配置不同的阵列。稀疏阵列配置设计问题被表述为二次约束二次规划 (QCQP)，并通过使用 SDR（半定松弛）解决。还寻求通过 SCA（连续凸松弛）计算可行的方法。为了实现可实现的设计，在缺少自相关滞后的情况下，我们提出了无参数块 Toeplitz 矩阵补全来估计整个阵列孔径上的接收数据相关矩阵。结果表明，最佳宽带稀疏阵列有效地利用了阵列孔径，并比次优阵列拓扑结构提供了相当大的性能改进。