数字波束形成-DBF
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第 4 章 自适应波束形成算法 ......................................... 25 4.1 经典自适应波束形成算法 .............................................................................. 25 4.2 最小均方(LMS)算法 ....................................................................................... 26 4.3 递归最小二乘（RLS）算法........................................................................... 27 4.4 最小方差无畸变响应(MVDR) ....................................................................... 28 4.5 经典自适应算法的仿真 .................................................................................. 30 4.5.1 LMS 算法的仿真 ..................................................................................... 30 4.5.2 RLS 算法仿真.......................................................................................... 31 4.5.3 MVDR 算法仿真 ..................................................................................... 33 4.5.4 三种算法比较 ......................................................................................... 34 4.6 本章总结 ........................................................................................................... 35
第 2 章 DBF 原理及应用 .............................................. 5 2.1 窄带信号模型 ..................................................................................................... 5 2.2 空间匹配滤波器 ................................................................................................ 7 2.3 阵列方向图 ........................................................................................................ 7 2.4 阵列增益 .......................................................................................................... 10 2.5 波束宽度 .......................................................................................................... 11 2.6 相位扫描的带宽限制 ...................................................................................... 11 2.7 智能天线 .......................................................................................................... 12 2.7.1 天线结构 ................................................................................................. 12 2.7.2 实现原理 ................................................................................................. 12 2.7.3 技术分类 ................................................................................................. 13 2.7.4 应用领域 ................................................................................................. 14 2.8 本章小结 .......................................................................................................... 15
3.5 三种准则的对比 .............................................................................................. 23 3.6 本章总结 ........................................................................................................... 24
Key Words:DBF, ADBF,源自文库Smart antenna, The minimum mean square error, The maximum signal to noise ratio
II
目录
目录
第 1 章 绪论 ........................................................ 1 1.1 背景介绍 ............................................................................................................. 1 1.1.1 数字波束形成在国内外的发展及现状 ................................................... 1 1.1.2 展望 ........................................................................................................... 3 1.2 论文内容 ............................................................................................................ 4
本文介绍了数字波束形成技术的原理，对波束形成的信号模型进行了 详细的推导，并且用 matlab 仿真了三种计算准则下的数字波束形成算法， 理论分析和仿真结果表明以上三种算法都可以实现波束形成，并对三种算 法进行了比较。同时研究了窄带信号的自适应波束形成的经典算法。研究 并仿真了基于最小均方误差准则的 LMS 算法、RLS 算法和 MVDR 自适应 算法，并且做了一些比较。
关键词：数字波束形成、自适应波束形成、智能天线、最小均方误差、最 大信噪比、最小方差
I
ABSTRACT
ABSTRACT
With the development of high-speed, ultra high-speed signal acquisition, transmission and processing technology, digital array radar has became an important trend in the development of modern radar technology. Digital beamforming (DBF) technology uses advanced digital signal processing technology to process the signal received by antenna array. It can improve the anti-jamming ability of radar system greatly and it is one of the key technology。 It is the core of the smart antenna technology in wireless communication too。
图21信号源是窄带信号时假设参考阵元1接收到的远场来波信号可用如下的复包络形式表示????????????????????????????????????????21????1????????????1????????????其中为来波的角频率为第i个来波信号的幅度则在等距线阵中第????????????m个阵元接收信号为22????????????????????0?????????????????????????????????????其中为表示第i个信号到达第m个阵元时相对于参考阵?????????????????????????sin????????123456m电子科技大学学士学位论文6元的时延为线阵第m阵元相对于参考阵元的距离c为电磁????????d?m?1波传输速率为第i个信号入射角度为第m个阵元在t时刻的噪声????????????????????又由于是窄波信号当接收信号为窄带信号时由于信号在时间上变化慢所以有23??????????????????????????????????????????????则式子22可以表示为24????????????????????1????????????e?j????????????????????????将m个阵元在特定时刻接收的信号排列成一个列矢量得到????1????????2?????????????????e?j????11e?j????12?e?j????1????e?j????21e?j????22?e?j????2????????e?j????????1e?j????????2?e?j????????????25?????????????????????????????????????????1????????2?????????????????将式25写成矢量形式如下
摘要
GB8878185555334563BT9125XW
创作编号： 创作者： 凤呜大王*
摘要
随着高速、超高速信号采集、传输及处理技术的发展,数字阵列雷达已 成为当代雷达技术发展的一个重要趋势。数字波束形成(DBF)技术采用先进 的数字信号处理技术对阵列天线接收到的信号进行处理,能够极大地提高雷 达系统的抗干扰能力,是新一代军用雷达提高目标检测性能的关键技术之 一。并且是无线通信智能天线中的核心技术。
第 3 章 最优波束形成准则 ........................................... 16 3.1 最小均方误差准则 .......................................................................................... 16 3.2 最大信噪比准则 .............................................................................................. 18 3.3 线性约束最小方差（LCMV）准则 .............................................................. 20
III
目录
3.4 仿真结果 .......................................................................................................... 21 3.4.1 mmse 准则下的仿真 ............................................................................... 21 3.4.2 MSNR 准则下的仿真.............................................................................. 22 3.4.3 LCMV 准则下的仿真.............................................................................. 22
This paper introduces the principle of digital beam forming technology, the signal model of beam forming was presented, And the digital beam forming algorithm under the three calculation criterion was simulated by MATLAB, theoretical analysis and simulation results show that the three algorithms can achieve beamforming, and made some comparison between the three algorithms. At the same time, made some study about the adaptive narrow-band signal beam forming algorithm. Learned and Simulateded the LMS algorithm base on minimum mean square error criterion and RLS algorithm and MVDR algorithm, and do some comparison
第 2 章 DBF 原理及应用 .............................................. 5 2.1 窄带信号模型 ..................................................................................................... 5 2.2 空间匹配滤波器 ................................................................................................ 7 2.3 阵列方向图 ........................................................................................................ 7 2.4 阵列增益 .......................................................................................................... 10 2.5 波束宽度 .......................................................................................................... 11 2.6 相位扫描的带宽限制 ...................................................................................... 11 2.7 智能天线 .......................................................................................................... 12 2.7.1 天线结构 ................................................................................................. 12 2.7.2 实现原理 ................................................................................................. 12 2.7.3 技术分类 ................................................................................................. 13 2.7.4 应用领域 ................................................................................................. 14 2.8 本章小结 .......................................................................................................... 15
3.5 三种准则的对比 .............................................................................................. 23 3.6 本章总结 ........................................................................................................... 24
Key Words:DBF, ADBF,源自文库Smart antenna, The minimum mean square error, The maximum signal to noise ratio
II
目录
目录
第 1 章 绪论 ........................................................ 1 1.1 背景介绍 ............................................................................................................. 1 1.1.1 数字波束形成在国内外的发展及现状 ................................................... 1 1.1.2 展望 ........................................................................................................... 3 1.2 论文内容 ............................................................................................................ 4
本文介绍了数字波束形成技术的原理，对波束形成的信号模型进行了 详细的推导，并且用 matlab 仿真了三种计算准则下的数字波束形成算法， 理论分析和仿真结果表明以上三种算法都可以实现波束形成，并对三种算 法进行了比较。同时研究了窄带信号的自适应波束形成的经典算法。研究 并仿真了基于最小均方误差准则的 LMS 算法、RLS 算法和 MVDR 自适应 算法，并且做了一些比较。
关键词：数字波束形成、自适应波束形成、智能天线、最小均方误差、最 大信噪比、最小方差
I
ABSTRACT
ABSTRACT
With the development of high-speed, ultra high-speed signal acquisition, transmission and processing technology, digital array radar has became an important trend in the development of modern radar technology. Digital beamforming (DBF) technology uses advanced digital signal processing technology to process the signal received by antenna array. It can improve the anti-jamming ability of radar system greatly and it is one of the key technology。 It is the core of the smart antenna technology in wireless communication too。
图21信号源是窄带信号时假设参考阵元1接收到的远场来波信号可用如下的复包络形式表示????????????????????????????????????????21????1????????????1????????????其中为来波的角频率为第i个来波信号的幅度则在等距线阵中第????????????m个阵元接收信号为22????????????????????0?????????????????????????????????????其中为表示第i个信号到达第m个阵元时相对于参考阵?????????????????????????sin????????123456m电子科技大学学士学位论文6元的时延为线阵第m阵元相对于参考阵元的距离c为电磁????????d?m?1波传输速率为第i个信号入射角度为第m个阵元在t时刻的噪声????????????????????又由于是窄波信号当接收信号为窄带信号时由于信号在时间上变化慢所以有23??????????????????????????????????????????????则式子22可以表示为24????????????????????1????????????e?j????????????????????????将m个阵元在特定时刻接收的信号排列成一个列矢量得到????1????????2?????????????????e?j????11e?j????12?e?j????1????e?j????21e?j????22?e?j????2????????e?j????????1e?j????????2?e?j????????????25?????????????????????????????????????????1????????2?????????????????将式25写成矢量形式如下
摘要
GB8878185555334563BT9125XW
创作编号： 创作者： 凤呜大王*
摘要
随着高速、超高速信号采集、传输及处理技术的发展,数字阵列雷达已 成为当代雷达技术发展的一个重要趋势。数字波束形成(DBF)技术采用先进 的数字信号处理技术对阵列天线接收到的信号进行处理,能够极大地提高雷 达系统的抗干扰能力,是新一代军用雷达提高目标检测性能的关键技术之 一。并且是无线通信智能天线中的核心技术。
第 3 章 最优波束形成准则 ........................................... 16 3.1 最小均方误差准则 .......................................................................................... 16 3.2 最大信噪比准则 .............................................................................................. 18 3.3 线性约束最小方差（LCMV）准则 .............................................................. 20
III
目录
3.4 仿真结果 .......................................................................................................... 21 3.4.1 mmse 准则下的仿真 ............................................................................... 21 3.4.2 MSNR 准则下的仿真.............................................................................. 22 3.4.3 LCMV 准则下的仿真.............................................................................. 22
This paper introduces the principle of digital beam forming technology, the signal model of beam forming was presented, And the digital beam forming algorithm under the three calculation criterion was simulated by MATLAB, theoretical analysis and simulation results show that the three algorithms can achieve beamforming, and made some comparison between the three algorithms. At the same time, made some study about the adaptive narrow-band signal beam forming algorithm. Learned and Simulateded the LMS algorithm base on minimum mean square error criterion and RLS algorithm and MVDR algorithm, and do some comparison