摘要翻译：
利用Hsu、Lorentz、Galilean、Reference和经典变换方程等五种变换方程，研究了目标运动对雷达信号畸变的影响。由于Hsu变换表示惯性坐标系和加速坐标系之间的时间和空间变换，其中加速坐标系的原点相对于惯性坐标系有一个初始速度和加速度，因此它被用作一种主变换。另外，当加速度接近零和无穷大时，分别得到了洛伦兹变换和伽利略变换。利用这些变换将雷达参考系变量中的发射波形表示为目标参考系变量中的发射波形，将目标参考系变量中的反射波形表示为雷达参考系变量中的反射波形，从而导致雷达接收机接收到的由于目标运动而产生的畸变波形。
---
英文标题：
《Applications of Various Space-time Transformations to Determine Radar
  Signal Distortion Caused by a Moving Target Having Constant Velocity and
  Acceleration》
---
作者：
James A Boehm III, Muhammad Dawood
---
最新提交年份：
2018
---
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。
--

---
英文摘要：
  The effects of target motion on the distortion of radar signals are investigated using five transformations, namely, Hsu, Lorentz, Galilean, Reference, and Classical transformation equations. Hsu transformation is used as a primary transformation since it expresses the temporal and spatial transformations between an inertial reference frame and accelerating frame where the origin of the accelerating frame has an initial velocity and acceleration with respect to the inertial frame. Additionally, as the acceleration approach zero and infinity, respectively, the Lorentz and Galilean transformations are obtained. These transformations are used to express the transmitted waveforms in the radar reference frame variables to that of the target reference frame variables, and the reflected waveform from the target in its reference frame variable to that of the radar reference frame variables, leading to the distorted waveform received at the radar receiver due to the motion of the target.
---
PDF链接：
https://arxiv.org/pdf/1806.05698