毕业设计说明书中文摘要24GHz的调频连续波（FMCW）主要应用于车载雷达等民用领域。本文主要从数学理论角度研究了24GHz的调频连续波（FMCW）雷达，并利用Simulink对FMCW系统进行仿真验证。本文研究内容主要分为两大部分：第一部分是对FMCW发射信号和差频信号进行数学公式的推导。从对称三角调制的线性调频连续波（STLFMCW）的定义出发，利用傅里叶级数展开推导FMCW发射信号的数学表达式，并利用数值积分法解决傅里叶系数的不可积函数问题。第二部分是在MATLAB/Simulink中搭建简单和复杂两种FMCW雷达的系统框图，分别对发射信号和差频信号的频谱进行验证。其中，复杂的FMCW雷达系统中的带通滤波器是根据给定的滤波器的传递函数集成到系统模型中的。81377

毕业论文关键词  对称三角调制  调频连续波  FMCW  雷达   MATLAB/Simulink  数学建模

毕业设计说明书外文摘要

Title    Mathematical Modeling and Theoretical Simulation of Frequency Modulated Continuous Wave Radar     

Abstract 24GHz Frequency Modulated Continuous Wave Radar has been put into automotive application and other civilian areas。 The article mainly studies the 24GHz FMCW radar from the aspect of mathematical theorem and simulates and verifies the whole FMCW system in Simulink。 The article consists of two big parts: The first part is to use Fourier series expansion to derive the mathematical expression of FMCW transmitted signal and beat signal according to the definition of Symmetric Triangle Linear Frequency Modulated Continuous Wave and to use numerical integration to solve the problem of non-integrable function in the coefficients of Fourier series。 Then, according to the derived mathematical expression, the article uses MATLAB software to program and simulate and shows the spectrum to verify the correctness of the mathematical expression。 The second part is to build simple and complicated FMCW radar systems models in MATLAB/Simulink to verify the spectrum of transmitted signal and beat signal。 Additionally, the bandpass filter in complicated system is integrated into the systems according to the transfer functions。

Keywords  Symmetric Triangle Linear Frequency Modulation  Frequency Modulated Continuous Wave  FMCW  radar  MATLAB/Simulink  mathematical simulation 

目   次

1  引言 1

1。1  研究背景与意义 1

1。2  国内外研究现状 2

1。3  本文主要内容及结构安排 2

2  FMCW雷达基本原理及系统概述 4

2。1  CW雷达 4

2。2  FMCW雷达 4

2。21  静止目标的距离测量 5

3  FMCW雷达的数学公式推导 7

3。1  发射信号公式推导 7

3。11  对称三角波调制 7

3。12  复化中矩形公式 9

3。2  差频信号公式推导 11

4  FMCW雷达系统Simulink仿真 14

4。1  简单雷达系统 14

4。11  发射信号频谱验证 14

4。12  差频信号频谱验证 17

4。2  信号源上变频雷达系统