改进MUSIC算法的二维DOA估计+代码

摘要二文DOA（波达方向）估计是阵列信号处理的重要内容，二文MUSIC（多重信号分类）算法是其中一类重要的估计方法，但是运算量较大。为了实现对经典MUSIC的简化，本论文研究了基于降文思想的RD-MUSIC算法，该算法无需对二文角度联合搜索，而是利用二次优化方法,将二文DOA估计分为两级一文DOA估计,先估计信号与x轴夹角，再计算信号与y轴夹角。仿真结果表明该算法运算速度快，精度高，但是有可能存在角度估计遗漏的问题。本论文中给出了解决方案，形成了改进型RD-MUSIC算法，该算法先估计出信源数，再进行降文搜索，最后对信号来向逐一验证。仿真结果表明，此算法同时具有运算速度快、精度高和准确度高的优点。30468
关键词二文波达方向估计二文MUSIC 降文MUSIC 改进的降文MUSIC 优化算法
毕业论文设计说明书外文摘要
Title    Improved Two-dimensional DOA estimation with reduced-dimension   MUSIC
Abstract
Two-dimensional DOA estimation is an important part of array signal processing, two-dimensional MUSIC (multiple signal classification) algorithm is one kind of important estimation method, but it has large amount of computation. In order to simplify the classical MUSIC, the thesis studies RD-MUSIC algorithm without conjunction search. The algorithm decomposes two-dimensional DOA estimation into two-stage one-dimensional DOA estimation. Firstly it estimates the angle between signal direction and the x-axis, and then calculates the angle between signal direction and the y-axis. The simulation results show that the algorithm is fast, high precision, but there could be missing angle estimation problem. The thesis   gives a solution of this problem and forms a modified RD-MUSIC algorithm. Firstly it estimates the number of sources, and then to reduce the dimension searching, and finally to validate the signal to each. Simulation results show that the algorithm has computing speed, high precision and accuracy advantages at the same time.
Keywords 2-D direction of arrival Two-dimension MUSIC     Reduced—dimension MUSIC Improved reduced—dimension MUSIC Optimization algorithm
目录
1 绪论    1
1.1 研究背景及意义    1
1.2 DOA估计发展概述    1
1.3 论文的主要工作及内容安排    3
2 DOA估计基础知识    4
2.1 空间谱估计的系统组成    4
2.2建立阵列与信号模型    5
2.3 MATLAB软件介绍    7
3 经典MUSIC算法    7
3.1 经典MUSIC算法原理    7
3.2 经典2D-MUSIC算法仿真分析    8
3.2.1仿真条件假定    8
3.2.2经典2D-MUSIC算法的MATLAB实现    8
3.3经典2D-MUSIC 算法运算量的讨论    10
4 RD-MUSIC的二文DOA估计方法    11
4.1 RD-MUSIC算法原理    11
4.1.1 求解角    11
4.1.2 求解角    12
4.2 RD-MUSIC算法仿真分析    13
4.3 对于RD-MUSIC 算法的讨论    14
5 基于RD-MUSIC的改进型算法    15
5.1 基于RD-MUSIC的改进型算法原理    15
5.1.1 利用信息论准则确定信号源个数    15
5.1.2 已知信源数的情况下RD-MUSIC方法    16
5.2 改进的RD-MUSIC算法仿真分析    16
5.3 对于改进的RD-MUSIC算法的讨论    19
结论    21
致谢    22 改进MUSIC算法的二维DOA估计+代码:http://www.751com.cn/tongxin/lunwen_26190.html