通过虚拟信号的随机特征来设计分布式目标的选择性探测器
Gaoqing Xiong1,2, Hui Cao1,2, Weijian Liu3
1School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China.
Sensors (Basel, Switzerland)
|February 13, 2025
概括
这项研究引入了一种新型探测器,用于在未知的高斯噪声中分布式目标,即使信号不匹配. 拟议的方法通过添加虚拟信号来提高检测可靠性,在具有挑战性的场景中证明有效.
科学领域:
- 信号处理 信号处理
- 统计检测理论 统计检测理论
- 雷达和传感器系统
背景情况:
- 在高斯噪声中检测具有未知共变矩阵的分布式目标具有挑战性,特别是当信号不完全匹配预期模型 (信号不匹配) 时.
- 现有的方法可能会与未知的噪声特征和信号变化作斗争,影响检测准确度.
研究的目的:
- 开发一种强大的探测器,用于在未知共变量高斯噪声下的分布式目标,特别是解决信号不匹配的问题.
- 引入一种使用虚构信号的新方法,以提高信号不匹配期间零假设的可信性.
主要方法:
- 将虚拟信号建模为具有特定共变性结构的高斯元件 (随机因子乘以一级矩阵).
- 使用通用概率测试 (GLRT) 来制定修改后的检测问题.
- 导出探测器并证明其恒定误报率 (CFAR) 属性.
主要成果:
- 拟议的探测器,GLRT-SL,在性能分析中表现出有效性.
- 在信号与噪声比 (SNR) 为23dB的情况下,随着信号不匹配的增加 (一般化cosine平方从1到0.83),探测器显示检测概率的快速下降 (至0.65).
- 与其他方法相比,这种下降速度更快,如G-ABORT-HE (降至0.98) 和GW-ABORT-HE (降至0.85),表明对不匹配的敏感性.
结论:
- 拟议的GLRT-SL探测器有效地处理未知的高斯噪声与信号不匹配的分布式目标检测.
- 该CFAR属性确保在不同的噪声条件下稳定的性能.
- 探测器的性能特征突显了其在信号变化存在的场景中的实用性.
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