直接路径无源雷达中未知信号的影响 反射路径观测

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摘要翻译：
本文导出了对结构可能已知的未知信号进行时延和多普勒频移联合估计的闭式Cramer-Rao界(CRB)表达式。该结果对存在直接路径和反射路径信号的无源雷达尤其有用。时延和多普勒频移估计是信号处理中的一个重要的基础工具，对于已知传输信号的情况得到了广泛的研究，而对于未知传输信号的研究却很少。本文的结果推广了已知发射信号的前人结果，并说明了从直接路径和反射路径来看，需要推导出精确的时延和多普勒频移联合估计。在一个简单的通用信号杂波噪声比(SCNR)模型下，分析了直、反射路径信号分离、白杂波噪声和视线传播情况，讨论了直、反射路径信号分离、相关杂波噪声、直、反射路径信号不分离和多径传播情况下CRB的扩展，以支持未知信号下CRB的应用。
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英文标题：
《On the Impact of Unknown Signals in Passive Radar with Direct Path and
  Reflected Path Observations》
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作者：
Yicheng Chen and Rick S. Blum
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最新提交年份：
2018
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分类信息：

一级分类：Electrical Engineering and Systems Science        电气工程与系统科学
二级分类：Signal Processing        信号处理
分类描述：Theory, algorithms, performance analysis and applications of signal and data analysis, including physical modeling, processing, detection and parameter estimation, learning, mining, retrieval, and information extraction. The term "signal" includes speech, audio, sonar, radar, geophysical, physiological, (bio-) medical, image, video, and multimodal natural and man-made signals, including communication signals and data. Topics of interest include: statistical signal processing, spectral estimation and system identification; filter design, adaptive filtering / stochastic learning; (compressive) sampling, sensing, and transform-domain methods including fast algorithms; signal processing for machine learning and machine learning for signal processing applications; in-network and graph signal processing; convex and nonconvex optimization methods for signal processing applications; radar, sonar, and sensor array beamforming and direction finding; communications signal processing; low power, multi-core and system-on-chip signal processing; sensing, communication, analysis and optimization for cyber-physical systems such as power grids and the Internet of Things.
信号和数据分析的理论、算法、性能分析和应用，包括物理建模、处理、检测和参数估计、学习、挖掘、检索和信息提取。“信号”一词包括语音、音频、声纳、雷达、地球物理、生理、（生物）医学、图像、视频和多模态自然和人为信号，包括通信信号和数据。感兴趣的主题包括：统计信号处理、谱估计和系统辨识；滤波器设计；自适应滤波/随机学习；（压缩）采样、传感和变换域方法，包括快速算法；用于机器学习的信号处理和用于信号处理应用的机器学习；网络与图形信号处理；信号处理中的凸和非凸优化方法；雷达、声纳和传感器阵列波束形成和测向；通信信号处理；低功耗、多核、片上系统信号处理；信息物理系统的传感、通信、分析和优化，如电网和物联网。
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英文摘要：
  We derive the closed form Cramer-Rao bound (CRB) expressions for joint estimation of time delay and Doppler shift with unknown signals with possibly known structure. The results are especially useful for passive radar where direct path and reflected path signals are present. Time delay and Doppler shift estimation is an important fundamental tool in signal processing which has received extensive study for cases with known transmitted signals, but little study for unknown transmitted signals. The presented results generalize previous results for known transmitted signals and show how many looks from the direct path and the reflected path we need to derive an accurate joint estimation of time delay and Doppler shift. After analysis under a simple common signal-to-clutter-plus-noise ratio (SCNR) model with separated direct and reflected path signals, white clutter-plus-noise and line of sight propagation, extensions to cases with different direct and reflected path SCNRs, correlated clutter-plus-noise, nonseparated direct and reflected path signals and multipath propagation are discussed to support the utility of the CRB with unknown signals.
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PDF链接：
https://arxiv.org/pdf/1805.01533

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