LFM signal parameters estimation using an improved DIRECT algorithm

Dan Ding, Naiping Cheng
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引用次数: 1

Abstract

In the paper, the widely used numerical optimization method for linear frequency modulated (LFM) signal parameters estimation is modified. To this purpose, an improved Dividing RECTangles (DIRECT) algorithm is proposed to substitute for the commonly used grid search method. The proposed global optimization algorithm can provide initial estimates for local optimization algorithms such as Newton and Simplex. Based on classical DIRECT algorithm, the improved version, called Lipschitz constant assisted DIRECT (L-DIRECT) Algorithm, eliminates hopeless areas, suspends unlikely areas, and concentrates on more promising areas in search space, finding the range of attraction (ROA) with lower SNR threshold or less computational burden for local optimization algorithms. The effect of the modification is validated by simulation results.
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基于改进DIRECT算法的LFM信号参数估计
本文对线性调频(LFM)信号参数估计中广泛使用的数值优化方法进行了改进。为此,提出了一种改进的矩形分割(DIRECT)算法来替代常用的网格搜索方法。所提出的全局优化算法可以为Newton和Simplex等局部优化算法提供初始估计。改进后的Lipschitz常数辅助DIRECT (L-DIRECT)算法在经典DIRECT算法的基础上,剔除无望区域,悬置不可能区域,集中搜索空间中更有希望的区域,寻找信噪比阈值更低或局部优化算法计算负担更小的吸引范围(ROA)。仿真结果验证了改进的效果。
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