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DFT-Based Closed-Form Covariance Matrix and Direct Waveforms Design for MIMO Radar to Achieve Desired Beampatterns

机译:基于DFT的闭式协方差矩阵和MIMO雷达的直接波形设计,以实现所需的波束模式

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摘要

In multiple-input multiple-output (MIMO) radar, for desired transmit beampatterns, appropriate correlated waveforms are designed. To design such waveforms, conventional MIMO radar methods use two steps. In the first step, the waveforms covariance matrix R is synthesized to achieve the desired beampattern. Whereas in the second step, to realize the synthesized covariance matrix, actual waveforms are designed. Most of the existing methods use iterative algorithms to solve these constrained optimization problems. The computational complexity of these algorithms is very high, which makes them difficult to use in practice. In this paper, to achieve the desired beampattern, a low complexity discrete-Fourier-transform based closed-form covariance matrix design technique is introduced for an MIMO radar. The designed covariance matrix is then exploited to derive a novel closed-form algorithm to directly design the finite-alphabet constant-envelope waveforms for the desired beampattern. The proposed technique can be used to design waveforms for large antenna array to change the beampattern in real time. It is also shown that the number of transmitted symbols from each antenna depends on the beampattern and is less than the total number of transmit antenna elements.
机译:在多输入多输出(MIMO)雷达中,针对所需的发射波束图,设计了适当的相关波形。为了设计这样的波形,常规的MIMO雷达方法使用两个步骤。第一步,合成波形协方差矩阵R以实现所需的波束图。而在第二步中,为了实现合成的协方差矩阵,设计了实际波形。现有的大多数方法都使用迭代算法来解决这些受限的优化问题。这些算法的计算复杂度很高,这使得它们在实践中难以使用。在本文中,为了获得所需的波束图,针对MIMO雷达引入了一种基于低复杂度离散傅立叶变换的闭式协方差矩阵设计技术。然后,利用设计的协方差矩阵来推导新颖的封闭形式算法,以针对所需的波束图案直接设计有限字母恒定包络波形。所提出的技术可用于设计大型天线阵列的波形,以实时更改波束图。还示出了来自每个天线的发射符号的数量取决于波束图,并且小于发射天线元件的总数。

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