雷达相关杂波的仿真及其AR谱模型

Simulation of Radar Coherent Clutters and Its AR Spectral Model

阐述了雷达相关杂波的模拟方法及其AR谱模型的特性,提出了具有约束条件的修正LEVINSON算法及其AR模型阶数估计方法,同时给出了常用的高斯谱特性的模型阶数估计结果和仿真结果,并与同等条件下的BURG算法的估计结果进行了比较,得到了一些有价值的结论。由于修正LEVIN-SON算法是直接利用给定相关功率谱模型所得到的自相关函数进行AR谱估计的,避免了随机相位因子波动的影响,因此比BURG算法更逼近理想功率谱特性的估计结果。计算机仿真结果也证明,用AR模型来描述常用雷达相关杂波的功率谱特性是正确的;在合理的模型阶数下,AR模型谱的精度满足雷达相关杂波模拟的要求。

The simulation methods of radar coherent clutters and the characters of its AR spectral model are studied in this paper. A modified LEVINSON algorithm and AR model order estimation methods are put forward. Compared with BURG algorithm under the same condition, the results of model order estimation and computer simulation are given, and some valuable conclusions are obtained. Because the modified LEVINSON algorithm estimates the AR model using the auto-correlation functions of the given coherent power spectra, the influence of the fluctuation of random phase factor is avoided. So the modified LEVINSON algorithm approaches the estimation results of characters of ideal power spectrum. The computer simulation results can prove that it is correct to describe the characters of common radar coherent clutter power spectrum using AR model, and under reasonable model order, the error of AR model spectrum can satisfy the request of the simulation of radar coherent clutters.