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arXiv 2201.00122cs.ITeess.SPmath.IT
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分布式MIMO雷达目标定位的松弛能量函数模拟神经网络方法

A Relaxed Energy Function Based Analog Neural Network Approach to Target Localization in Distributed MIMO Radar

Xiaoyu Zhao, Jun Li, Qinghua Guo

摘要:

模拟神经网络在解决优化问题方面具有很好的效果,已被用于分布式多输入多输出(MIMO)雷达的目标定位。针对分布式MIMO雷达目标定位问题,设计了一种新的基于松弛能量函数的神经网络。我们从最大似然(ML)目标定位与一个复杂的目标函数,它可以转化为一个易于处理的等式约束,通过引入一些辅助变量。与现有的拉格朗日规划神经网络(LPNN)方法不同,我们进一步放松了目标定位的优化问题,不再需要拉格朗日乘子项,从而得到一个具有更好凸性的放松的能量函数。基于松弛的能量函数,实现了结构简单、收敛速度快的RNF神经网络。此外,RNFNN方法扩展到存在发射机和接收机定位误差的定位。结果表明,所提出的定位方法的性能实现了Cramér-Rao下限(CRLB)在更宽的信噪比(SNR)的范围内。与最先进的方法进行了广泛的比较,证明了所提出的方法在性能改善和计算复杂性(或收敛速度)方面的优势。

英文摘要:

Analog neural networks are highly effective to solve some optimization problems, and they have been used for target localization in distributed multiple-input multiple-output (MIMO) radar. In this work, we design a new relaxed energy function based neural network (RNFNN) for target localization in distributed MIMO radar. We start with the maximum likelihood (ML) target localization with a complicated objective function, which can be transformed to a tractable one with equality constraints by introducing some auxiliary variables. Different from the existing Lagrangian programming neural network (LPNN) methods, we further relax the optimization problem formulated for target localization, so that the Lagrangian multiplier terms are no longer needed, leading to a relaxed energy function with better convexity. Based on the relaxed energy function, a RNFNN is implemented with much simpler structure and faster convergence speed. Furthermore, the RNFNN method is extended to localization in the presence of transmitter and receiver location errors. It is shown that the performance of the proposed localization approach achieves the Cramér-Rao lower bound (CRLB) within a wider range of signal-to-noise ratios (SNRs). Extensive comparisons with the state-of-the-art approaches are provided, which demonstrate the advantages of the proposed approach in terms of performance improvement and computational complexity (or convergence speed).

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