Abstract

This paper is devoted to the description of mathematical models of cross-correlated and uncorrelated Gaussian direct-noise jamming with uniform frequency spectrum produced by spatially-point external sources of noise radiation. They are designed for airspace control radars with spatially narrow-band linear equidistant phased antenna array (PAA) consisting of identical omnidirectional elements and also with planar or volumetric PAA. The use of the developed models allows researchers to generate the input (training) sample of the specified size using the pseudorandom number generators. This sample is formed by complex vectors, the components of which correspond to readings of complex amplitudes in spatial channels receiving at discrete time instants additive mixture of intrinsic noise and noise jamming from external sources with specified intensity and angular coordinates. The accuracy and adequacy of developed mathematical models have been proved analytically and checked by the method of mathematical experiments. The proposed models can be used for mathematical modeling in synthesis of adaptive radar protection systems with linear or planar and volumetric narrow-band PAA from Gaussian noise jamming and the analysis of their efficiency.

中文翻译：

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外部相关的互相关和不相关高斯噪声干扰的数学模型

摘要

本文致力于描述互相关和不相关的高斯直接噪声干扰的数学模型，这些干扰是由空间点外部噪声辐射源产生的具有统一频谱的频谱。它们设计用于具有空间窄带线性等距相控天线阵列（PAA）的空域控制雷达，该阵列由相同的全向元件组成，还具有平面或体积PAA。利用开发的模型，研究人员可以使用伪随机数生成器生成指定大小的输入（训练）样本。这个样本是由复数向量构成的 其分量对应于在离散时间接收的空间信道中复振幅的读数，这些噪声是固有噪声和来自具有指定强度和角坐标的外部源的噪声干扰的加性混合。已开发的数学模型的准确性和充分性已经通过数学实验方法进行了分析证明和检验。所提出的模型可用于数学建模，以合成基于高斯噪声的线性或平面和体积窄带PAA的自适应雷达保护系统，并对其效率进行分析。