基于互质阵列的无网格化波达方向估计算法研究
发布时间：2019-02-13 14:37
【摘要】：波达方向(Direction-of-Arrival,DOA)估计作为阵列信号处理中的重要组成部分,在雷达、无线通信、生物探测等领域得到了广泛应用。在DOA估计所采用的阵列结构中,互质阵列由于能够解决均匀线性阵列中自由度受限的问题,近些年受到了学者们的广泛关注。本文基于互质阵列,围绕无网格化方法提出相应的DOA估计算法,主要内容有:1.首先对均匀线性阵列和互质阵列的信号模型进行了重点研究,并将它们进行了性能上的比较,同时介绍了两种传统的超分辨DOA估计算法。2.其次利用互质阵列所得到的等价虚拟信号,仅通过M+N-1个天线阵元将自由度提升至O(MN)。在此基础上,提出两种分别基于范德蒙分解和ESPRIT算法新型无网格化的DOA估计算法。算法在进行DOA估计的同时实现了相对应的功率估计。计算机仿真结果表明,两种算法在估计精度及计算复杂度等方面体现出了优势。3.最后针对基于互质阵列的传统算法无法利用接收信号提供的所有信息这一缺点,提出了一种基于内插虚拟阵列Toeplitz化重建的DOA估计算法。该算法根据非均匀虚拟阵列的接收信号进行Toeplitz结构约束形成凸优化问题来重建内插虚拟阵列协方差矩阵,能够完全利用互质阵列所提供的自由度,并在此基础上通过范德蒙分解算法实现了无网格化DOA估计。
[Abstract]:As an important part of array signal processing, direction-of-arrival (Direction-of-Arrival,DOA) estimation has been widely used in radar, wireless communication, biological detection and other fields. In the array structure used in DOA estimation, due to its ability to solve the problem of limited degrees of freedom in uniform linear arrays, mutual-mass arrays have attracted much attention in recent years. In this paper, the corresponding DOA estimation algorithm is proposed around meshless methods based on mutuality arrays. The main contents are as follows: 1. Firstly, the signal models of uniform linear array and mutual mass array are studied, and their performances are compared. At the same time, two traditional super-resolution DOA estimation algorithms are introduced. 2. Secondly, using the equivalent virtual signal obtained from the mutual-mass array, the degree of freedom is promoted to O (MN). Only by using M-N-1 antenna array elements. On this basis, two new meshless DOA estimation algorithms based on Van der Mon decomposition and ESPRIT algorithm are proposed. The algorithm realizes the corresponding power estimation while carrying out DOA estimation. The computer simulation results show that the two algorithms have advantages in estimation accuracy and computational complexity. Finally, a DOA estimation algorithm based on interpolated virtual array Toeplitz reconstruction is proposed to overcome the shortcoming that the traditional algorithm based on mutual-mass array can not take advantage of all the information provided by the received signal. According to the received signals of the non-uniform virtual array, the algorithm forms a convex optimization problem based on the Toeplitz structure constraints to reconstruct the covariance matrix of the interpolated virtual array, which can make full use of the degree of freedom provided by the mutual-mass array. On the basis of this, a meshless DOA estimation is realized by Van der Mon decomposition algorithm.
【学位授予单位】：浙江大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN911.7
本文编号：2421653
[Abstract]:As an important part of array signal processing, direction-of-arrival (Direction-of-Arrival,DOA) estimation has been widely used in radar, wireless communication, biological detection and other fields. In the array structure used in DOA estimation, due to its ability to solve the problem of limited degrees of freedom in uniform linear arrays, mutual-mass arrays have attracted much attention in recent years. In this paper, the corresponding DOA estimation algorithm is proposed around meshless methods based on mutuality arrays. The main contents are as follows: 1. Firstly, the signal models of uniform linear array and mutual mass array are studied, and their performances are compared. At the same time, two traditional super-resolution DOA estimation algorithms are introduced. 2. Secondly, using the equivalent virtual signal obtained from the mutual-mass array, the degree of freedom is promoted to O (MN). Only by using M-N-1 antenna array elements. On this basis, two new meshless DOA estimation algorithms based on Van der Mon decomposition and ESPRIT algorithm are proposed. The algorithm realizes the corresponding power estimation while carrying out DOA estimation. The computer simulation results show that the two algorithms have advantages in estimation accuracy and computational complexity. Finally, a DOA estimation algorithm based on interpolated virtual array Toeplitz reconstruction is proposed to overcome the shortcoming that the traditional algorithm based on mutual-mass array can not take advantage of all the information provided by the received signal. According to the received signals of the non-uniform virtual array, the algorithm forms a convex optimization problem based on the Toeplitz structure constraints to reconstruct the covariance matrix of the interpolated virtual array, which can make full use of the degree of freedom provided by the mutual-mass array. On the basis of this, a meshless DOA estimation is realized by Van der Mon decomposition algorithm.
【学位授予单位】：浙江大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN911.7
【参考文献】
相关期刊论文 前1条
1 肖维民，，彭应宁;两种快速ESPRIT算法[J];电子学报;1995年07期
相关博士学位论文 前1条
1 陈客松;稀布天线阵列的优化布阵技术研究[D];电子科技大学;2006年
相关硕士学位论文 前1条
1 黄伟;稀布阵列天线的阵元分布优化设计研究[D];电子科技大学;2012年
本文编号：2421653
本文链接：https://www.wllwen.com/kejilunwen/xinxigongchenglunwen/2421653.html
