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Sequential quasi-convex-based algorithm for waveform design in colocated multiple-input multiple-output radars

机译：基于时序准凸的共置多输入多输出雷达波形设计算法

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摘要

This study considers the problem of waveform design for colocated multiple-input multiple-output (MIMO) radars for multiple targets in the presence of multiple interferences in white Gaussian noise. Here, the authors jointly design the transmit waveform and receive beamforming by a sequential algorithm. The proposed sequential algorithm maximises the minimum signal-to-interference-plus-noise ratio (SINR) to design both continuous and finite alphabet phase waveforms. In the case of continuous phase, all phases can be chosen in the waveform space, while in finite alphabet case, phases are only chosen from a confine set. Two important practical constraints of `constant envelope' and `similarity' are considered as well. The authors also have converted the waveform design problem into a quasi-convex optimisation problem which can be effectively solved by using convex optimisation toolbox (CVX). They have evaluated the performance of the matched filter output, beampattern and peak-to-average power ratio via numerical simulations and shown that the proposed sequential method achieves better SINR performance compared with existing MIMO radar transmit waveform design methods, for both single and multiple target scenarios.
机译：这项研究考虑了在高斯白噪声中存在多重干扰的情况下，针对多个目标的共置多输入多输出（MIMO）雷达的波形设计问题。在这里，作者们通过顺序算法共同设计了发射波形和接收波束成形。所提出的顺序算法使最小信号干扰加噪声比（SINR）最大化，以设计连续和有限字母相位波形。在连续相位的情况下，可以在波形空间中选择所有相位，而在有限字母的情况下，只能从约束集中选择相位。还考虑了“恒定包络”和“相似性”两个重要的实际约束。作者还将波形设计问题转换为准凸优化问题，可以通过使用凸优化工具箱（CVX）有效地解决该问题。他们通过数值模拟评估了匹配滤波器输出，波束方向图和峰均功率比的性能，并表明，与现有的MIMO雷达发射波形设计方法相比，针对单目标和多目标，所提出的顺序方法具有更好的SINR性能。场景。

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