基于压缩感知的SAR雷达成像
摘要压缩感知理论突破了传统Nyquist采样理论的限制，该理论指出如果信号在某个变换域是稀疏的或可压缩的，就可以利用一个与变换基不相关的观测矩阵将变换所得的高维信号投影到一个低维空间上，根据这些少量的观测值，通过求解凸优化问题实现信号的精确重构。这种全新的信号处理理论的出现为解决传统高分辨雷达面临的高采样率、大数据量和实时处理困难等问题提供了可能。64186
合成孔径雷达（SAR）是一种高分辨的成像雷达，它不受气候和昼夜影响，能够全天候、全天时、远距离的进行成像，具有大范围观测、可变视角以及良好的穿透能力等特点，在军用和民用领域有着广泛的应用。
本文介绍了压缩感知的以及合成孔径雷达成像的基本概念与原理，并将其结合在一起。最后通过仿真实验，实现了基于压缩感知的SAR成像。
毕业论文关键词 压缩感知；合成孔径雷达成像；压缩感知SAR成像；
毕业设计说明书（论文）外文摘要
Title Radar imaging based on compressed sensing
Abstract Compressed sensing theory is a great breakthrough of traditional Nyquist sampling theory, the theory points out that if the signal is sparse or compressible in a transform domain, we can use an observation matrix which is not related with transformation basis to project the high-dimensional transformed signal to a low dimensional space. According to these few observations, the signal can be accurate reconstructed by solving a convex optimization problem. Thus, as a fire-new signal processing theory，CS has potential to resolve many problems associated with high resolution radar，such as high sampling rate，too many data and difficulties of real time processing.
Synthetic Aperture Radar (SAR) is a sort of high resolution imaging radar．Using SAR we call obtain radar images independent of all time，all weather, and long distance conditions，it provide multi-bands，huge-range observation and high resolution image．So it has a wide application in the fields of military and civilian．
This article describes the basic concept and principle of CS and SAR imaging
, and hang them together. Finally, the simulation experiment is conduct to realize the SAR imaging based on CS theory.
Keywords compressed sensing; synthetic aperture radar imaging; compressed sensing SAR imaging;
目 次
1 绪论 1
1.1 应用背景 1
1.3 本文的主要工作和结构安排 2
2 压缩感知的基本原理 3
2.1 压缩感知理论基本知识框架 3
2.2 压缩感知的基本原理 4
2.3 压缩感知图像重构 7
2.4 压缩感知的主要应用 10
2.5 本章小结 12
3 合成孔径雷达成像 13
3.1 合成孔径雷达的起源和发展 13
3.2 合成孔径雷达的工作模式 14
3.3 合成孔径雷达成像流程 15
3.4 合成孔径雷达信号处理 18
3.5 合成孔径雷达的应用