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MIMO Radar Transmit Beampattern Design Without Synthesising the Covariance Matrix

机译:不合成协方差矩阵的MIMO雷达发射波束图设计

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摘要

Compared to phased-array, multiple-input multiple-output (MIMO) radars provide more degrees-offreedom(DOF) that can be exploited for improved spatial resolution, better parametric identifiability,lower side-lobe levels at the transmitter/receiver, and design variety of transmit beampatterns. Thedesign of the transmit beampattern generally requires the waveforms to have arbitrary auto- and crosscorrelationproperties. The generation of such waveforms is a two step complicated process. In thefirst step a waveform covariance matrix is synthesised, which is a constrained optimisation problem.In the second step, to realise this covariance matrix actual waveforms are designed, which is also aconstrained optimisation problem. Our proposed scheme converts this two step constrained optimisationproblem into a one step unconstrained optimisation problem. In the proposed scheme, in contrast tosynthesising the covariance matrix for the desired beampattern, nT independent finite-alphabet constantenvelopewaveforms are generated and pre-processed, with weight matrix W, before transmitting fromthe antennas. In this work, two weight matrices are proposed that can be easily optimised for the desiredsymmetric and non-symmetric beampatterns and guarantee equal average power transmission from eachantenna. Simulation results validate our claims.
机译:与相控阵相比,多输入多输出(MIMO)雷达提供了更多的自由度(DOF),可以利用这些自由度来提高空间分辨率,更好的参数可识别性,发射机/接收机处的旁瓣电平较低以及设计各种发射波束图。发射波束图的设计通常要求波形具有任意的自相关和互相关属性。这种波形的生成是一个两步的复杂过程。第一步,合成一个波形协方差矩阵,这是一个约束优化问题。第二步,要实现该协方差矩阵,设计实际波形,这也是一个约束优化问题。我们提出的方案将这两个步骤的约束优化问题转换为一个步骤的非约束优化问题。在所提出的方案中,与合成用于期望波束图的协方差矩阵相反,在从天线发射之前,使用权重矩阵W生成并预处理了nT个独立的有限字母常数包络波形。在这项工作中,提出了两个权重矩阵,可以轻松地针对所需的对称和非对称波束图进行优化,并确保每个天线的平均功率传输相等。仿真结果验证了我们的主张。

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