近场源参数估计算法研究
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摘要
信源定位问题是阵列信号处理中的一个重要的研究方向,它的任务是根据天线阵列接收到的数据估计出感兴趣信源的空间位置信息。根据信源与接收阵列之间的距离,信源定位可分为近场定位和远场定位,本文主要对近场源源定位问题进行研究。
八十年代至今,对信源定位技术的研究主要集中在远场源上,对于近场源参数估计理论方面的研究相对较少。近年来,对近场源参数估计理论方面的研究逐渐引起国内外学者的关注,成为阵列信号处理领域中的一个新的热点。经过十余年的发展,国内外很多学者对近场源参数估计问题进行了研究,取得了许多优秀的成果,但是在某些方面仍然存在很多问题亟待解决,如计算量、参数配对、估计精度、宽带非平稳信源等。本文以二阶统计量、分数低阶统计量、分数阶傅里叶变换和四阶累积量为主要数学分析工具,分别从参数配对、阵列孔径、二维极化敏感阵列、非高斯噪声、计算量和宽带非平稳信号等几个方面对近场源的参数估计问题进行了深入的研究。
本文创造性工作如下：
1、利用四阶累积量和非中心对称均匀十字阵列,提出基于白化降维技术、子空间分解以及矩阵束的近场源方位角、仰角和距离参数联合估计算法,这些算法采用非中心对称的阵列结构,且无需额外的参数配对程序,可直推导出待估计参数的闭式解,具有高估计精度、低计算复杂度和高阵列孔径利用率等特点。
2、利用极化敏感阵列抗干扰能力强、分辨力高等优点,以二阶统计量和四阶累积量为主要数学分析工具,对二维极化敏感阵列下近场源参数估计问题进行研究,提出了一种基于二阶统计量的近场源方位角、仰角、距离和极化信息等五维参数联合估计算法,以及三种基于四阶累积量的近场源五维参数联合估计算法,有效的解决不同高斯噪声情况、阵列孔径利用率以及计算量和计算复杂度等问题。
3、针对冲击噪声无二阶统计量和高阶累积量的特点,研究了服从SαS稳定分布的冲击噪声下近场源方向角和距离二维参数联合估计问题,提出了一种基于分数低阶统计量的FLOS-ESPRIT算法,它可有效抑制冲击噪声对信号的影响,并且对加性高斯白噪声同样有效。
4、针对子空间分解计算量大的问题,提出两种基于传播算子和二阶统计量的近场源方向角和距离二维参数联合估计算法：PM-MUSIC和PM-ROOT-MUSIC。利用传播算子估计出的噪声子空间代替奇异值分解得到的正交解,从而缓解了MUSIC算法估计精度与计算量之间的矛盾。
5、利用分数阶傅里叶变换,初步解决了近场宽带非平稳信源的二维参数估计问题,提出一种基于FRFT-MUSIC的近场宽带非平稳信源方向角和距离二维参数联合估计算法,其特点是无交叉项干扰,适于加性噪声环境,具有较高的估计精度。
本文共分八章,具体内容如下：
1、介绍阵列信号处理技术的发展历史,综述近场源参数估计理论及国内外研究现状,提出近场源参数估计中有待于研究和解决的问题,确定本文的研究内容。
2、介绍本文所用到的矩阵论方面的基础知识、极化敏感阵列的基础知识以及分数低阶统计量、二阶统计量和高阶累积量的定义和性质。
3、研究标量传感器下基于四阶统计量的近场源定位算法,针对目前近场源定位算法中估计精度和计算复杂度等问题,提出了四种无需参数配对的近场源参数二维参数和三维参数估计算法：1)基于四阶累计量和子空间分解的近场源方向角和距离二维参数联合估计算法,采用非中心对称均匀线阵,其特点是有效降低了阵列孔径的损失,无需参数配对,直接推导出待估计参数的闭式解,降低了算法的复杂性；2)将上述算法扩展到二维接收阵列,提出基于非中心对称十字阵列的近场源方位角、仰角和距离三位参数联合估计算法；3)基于矩阵束的近场源方位角、仰角和距离三维参数联合估计算法,算法采用非中心对称十字阵列,其特点是不需要构造高维累积量矩阵,且矩阵束的广义特征值中包含参数配对信息,降低了算法的计算量和复杂度,减少了阵列孔径的损失；4)基于白化降维技术的近场源方位角、仰角和距离三维参数联合估计算法,算法采用非中心对称十字阵列,其特点是无需构造高维累积量矩阵、参数自动配对,降低了算法的计算量和复杂度,提高了阵列孔径的利用率。
4、研究二维极化敏感阵列下基于二阶统计量和四阶累积量的近场源五维参数联合估计算法：1)基于二阶统计量和TLS-ESPRIT的近场源方向角、仰角、距离和极化信息等五维参数联合估计算法,采用中心对称的十字阵列,其特点是计算量小,估计精度高,且仅需要一次简单的参数配对；2)基于四阶累积量和矩阵束的近场源方向角、仰角、距离和极化信息等五维参数联合估计算法,采用中心对称的十字阵列,其特点是不需要构造高维累积量矩阵,参数配对方法简单,具有较低的计算复杂度；3)基于四阶累积量和子空间分解的近场源方向角、仰角、距离和极化信息等五维参数联合估计算法,采用非中心对称十字阵列,其特点是降低了阵列孔径损失,无需参数配对,直接推导出待估计参数的闭式解,降低了算法的复杂度；4)基于四阶累积量和联合对角化的近场源方向角、仰角、距离和极化信息等五维参数联合估计算法,采用非中心对称十字阵列,其特点是不需要构造高维累积量矩阵,利用白化降维技术和联合对角化直接估计出信源参数,不需参数配对,有效的提高了阵列孔径的利用率,降低了算法的复杂度。
5、研究了服从SαS稳定分布的冲击噪声下近场源方向角和距离二维参数联合估计问题,提出了一种基于分数低阶统计量的FLOS-ESPRIT算法,算法采用中心对称的均匀线阵,其特点是可以抑制冲击噪声对信号的影响,并且对加性高斯白噪声同样有效。
6、对传播算子方法进行研究,提出两种基于传播算子的近场源方向角和距离二维参数联合估计算法：PM-MUSIC和PM-ROOT-MUSIC,其特点是利用传播算子估计出噪声子空间的最小二乘解代替由奇异值分解得到的正交解,达到降低计算量的目的。
7、对近场宽带非平稳信源下的参数估计问题进行研究,提出了一种基于FRFT-MUSIC的近场源方向角和距离二维参数联合估计算法,其特点是在较低的信噪比下仍具有较高的估计精度。
8、对全文进行总结,展望下一步工作,提出了今后有待于进一步研究的问题。
The signal source localization is one of the most important research aspects in array signal processing, whose purpose is to deal with the data received from the antenna array, reduces the interfering signal and noise signal, and estimates the spatial location information of the interested source. According to the distance between the source and the receiver array, the source localization can be classified into far-field source localization and near-field source localization.
Since the 1980s, the source localization technology research is focused on the far field source; by contrast, the research of parameter estimation theory for near-field was relatively less. In recent years, however, the theoretical study of near-field source parameter estimation, which is a new research focusing on the array signal processing, has gradually attracted the attention of scholars. After a development over one decade, many scholars have studied the parameters estimation problems of near-field and have achieved many excellent achievements. Nevertheless, there still remain many problems to be solved in some aspect, such as parameter matching, computation, estimation accuracy, coherent sources and broadband non-stationary signals etc. In this dissertation, the parameters estimation of near-field source is studied from the following six aspects respectively, parameters pairing, array aperture,2-D polarization sensitive array, non-Gaussian noise computation, and broadband non-stationary signals, by means of second order statistics, fractional lower order statistics, fractional Fourier transform and higher order cumulant.
The creative work of this dissertation focuses on five aspects as follows.
1. Utilizing the four order cumulant and non-centro-symmetric cross array, proposes bearing, elevation and range parameters estimation algorithm of near-field based on whiten dimension reduction, subspace decomposition and matrix pencil. The algorithms adoptes the non-centro-symmetric array construction, doesn't require any spectral peak search and additional parameter matching, can directly obtain the closed form solution of the parameters to be estimated, and has the features of high estimation accuracy, low complexity, and high utilization of the array aperture.
2. Utilizing the advantages of anti-interference ability and higher resolution for the polarization sensitive array, by means of second-order statistics and fourth-order cumulant as the main tools of mathematical analysis, studies the parameter estimation problem of near-field based on 2-D polarization sensitive array, proposed one algorithm to estimate elevation, bearing, range, polarization information of near-field based on second order statistics and three algorithms based on four-order cumulant, and solved some problems effectively, such as high-efficiency array aperture, low computation and low computational complexity.
3. Aiming at the impulsive noise features for no second-order statistics and no higher order cumulant, studies the 2-D parameters estimation problem of near-field in SaS Stable distribution impulsive noise, proposes a FLOS-ESPRIT algorithm based on fractional lower order statistics. The algorithm can inhibit the effect of impulsive noise, and has good effect in additive white Gaussian noise too.
4. For the problem of large computation, proposes two 2-D parameter estimation algorithm of near-filed:PM-MUSIC and PM-ROOT-MUSIC. The algorithms used the noise subspace estimated by propagator method instead of orthogonal solution of SVD, and solved the contradictions between estimation accuracy and computation of MUSIC algorithm.
5. For two-dimensional parameters estimation problem of the wideband near field sources of non-stationary, proposes a bearing and range parameters joint estimation algorithm of near field wideband non-stationary sources based on FRFT-MUSIC. Its characteristics are no cross-term interference, have high estimation accuracy, and can be applied for additive noise environment.
This dissertation consists of eight chapters.
1. It introduces the development of array signal processing technology, summarizes the theories of near-field parameter estimation as well as the current research situation at home and abroad, proposes the content to be studied and solved, and defines the research content of this dissertation.
2. It introduces the fundamental knowledge of matrix theory and the polarization sensitive array, introduces the definition and nature of fractional lower order statistics, fractional Fourier transform and higher-order cumulant.
3. It studies the localization algorithm in scalar sensor array based on four-order cumulant. Aiming at the problems of estimation accuracy and complexity, it proposes four parameters estimation algorithm without parameter pairing:(1) A joint estimation algorithm of bearing and range for near-field based on four-order cumulant and subspace decomposition, the algorithm adopts non-centro-symmetric array, and the aperture loss is effectively avoided, the parameters can be paired automatically, reduces the complexity of computation; (2) Above algorithm extends to the 2-D receiver array, proposes 3-D parameter joint estimation algorithm without parameters pairing for near-field sources based on non-centro-symmetric cross array; (3) A 3-D parameter joint estimation algorithm of near-field sources based on MP, the proposed algorithm adopts non-centro-symmetric cross array, so the array aperture loss is effectively avoided. Furthermore, the algorithm estimates the parameters of near field by generalized eigenvalue decompose; the parameter pairing information is contained in the magnitude value of the generalized eigenvalue, so doesn't require the extra parameter pairing method of various parameters, and reduces the complexity of computation. (4) Proposed bearing, elevation and range parameters estimation algorithm of near-field based on whiten dimension reduction, the algorithm need not construct high dimensional cumulant matrix, parameters pairing automatically, reduces the computation and complexity, and improves the utilization of the array aperture.
4. It studies the localization algorithm in 2-D polarization sensitive array based on second order statistics and four-order cumulant:(1) Proposed bearing, elevation, range, and polarization information joint estimation algorithm of near-field based on second order statistics, its features are small computation, high estimation accuracy, and requires a simple parameters pairing only. (2) Proposed 5-D parameters joint estimation algorithm of near-field based on four order cumulant, it need not construct high dimensional cumulant matrix, pairing parameters easily and low complexity. (3) Proposed a joint 5-D parameters estimation algorithm of near-field sources based on four-order cumulant and subspace decomposition, adopts non-centro-symmetric cross polarization sensitive array, avoids the aperture loss effectively, without parameters pairing, reduced the complexity. (4) Proposed 5-D parameters estimation algorithm of near-field based on four order cumulant and joint diagonalization technology, adopts non-centro-symmetric cross polarization sensitive array, need not construct high dimension cumulant matrixes, estimates the signal parameters by whiten dimension reduction and joint diagonalization technology, without parameters pairing, reduces the computation and complexity, improves the utilization of the array aperture.
5. It studies the localization algorithm of near-field in impulsive noise environment, proposes a FLOS-ESPRIT algorithm based on fractional lower order statistics to estimate bearing and range parameters of near-field, The algorithm adopts the center symmetric uniform linear array, can inhibit the effect of impulsive noise, and apply in additive white Gaussian noise environment too.
6. It studies the propagator method, and proposes two algorithms of 2-D parameters estimation for near-field:PM-MUSIC and PM-ROOT-MUSIC, the algorithms use the noise subspace estimated by propagator method instead of orthogonal solution of singular value decomposition, and solve the contradictions between estimation accuracy and computation of MUSIC algorithm for reduce computational purposes.
7. It studies the parameter estimation problem of broadband non-stationary of near field source, proposes a bearing and range joint estimation algorithm of near field source based on FRFT-MUSIC, and it characterizes of high estimation accuracy in low SNR.
8. A brief summary of the dissertation is given, prospects the future work, and proposes the problems to be studied in future.
八十年代至今,对信源定位技术的研究主要集中在远场源上,对于近场源参数估计理论方面的研究相对较少。近年来,对近场源参数估计理论方面的研究逐渐引起国内外学者的关注,成为阵列信号处理领域中的一个新的热点。经过十余年的发展,国内外很多学者对近场源参数估计问题进行了研究,取得了许多优秀的成果,但是在某些方面仍然存在很多问题亟待解决,如计算量、参数配对、估计精度、宽带非平稳信源等。本文以二阶统计量、分数低阶统计量、分数阶傅里叶变换和四阶累积量为主要数学分析工具,分别从参数配对、阵列孔径、二维极化敏感阵列、非高斯噪声、计算量和宽带非平稳信号等几个方面对近场源的参数估计问题进行了深入的研究。
本文创造性工作如下：
1、利用四阶累积量和非中心对称均匀十字阵列,提出基于白化降维技术、子空间分解以及矩阵束的近场源方位角、仰角和距离参数联合估计算法,这些算法采用非中心对称的阵列结构,且无需额外的参数配对程序,可直推导出待估计参数的闭式解,具有高估计精度、低计算复杂度和高阵列孔径利用率等特点。
2、利用极化敏感阵列抗干扰能力强、分辨力高等优点,以二阶统计量和四阶累积量为主要数学分析工具,对二维极化敏感阵列下近场源参数估计问题进行研究,提出了一种基于二阶统计量的近场源方位角、仰角、距离和极化信息等五维参数联合估计算法,以及三种基于四阶累积量的近场源五维参数联合估计算法,有效的解决不同高斯噪声情况、阵列孔径利用率以及计算量和计算复杂度等问题。
3、针对冲击噪声无二阶统计量和高阶累积量的特点,研究了服从SαS稳定分布的冲击噪声下近场源方向角和距离二维参数联合估计问题,提出了一种基于分数低阶统计量的FLOS-ESPRIT算法,它可有效抑制冲击噪声对信号的影响,并且对加性高斯白噪声同样有效。
4、针对子空间分解计算量大的问题,提出两种基于传播算子和二阶统计量的近场源方向角和距离二维参数联合估计算法：PM-MUSIC和PM-ROOT-MUSIC。利用传播算子估计出的噪声子空间代替奇异值分解得到的正交解,从而缓解了MUSIC算法估计精度与计算量之间的矛盾。
5、利用分数阶傅里叶变换,初步解决了近场宽带非平稳信源的二维参数估计问题,提出一种基于FRFT-MUSIC的近场宽带非平稳信源方向角和距离二维参数联合估计算法,其特点是无交叉项干扰,适于加性噪声环境,具有较高的估计精度。
本文共分八章,具体内容如下：
1、介绍阵列信号处理技术的发展历史,综述近场源参数估计理论及国内外研究现状,提出近场源参数估计中有待于研究和解决的问题,确定本文的研究内容。
2、介绍本文所用到的矩阵论方面的基础知识、极化敏感阵列的基础知识以及分数低阶统计量、二阶统计量和高阶累积量的定义和性质。
3、研究标量传感器下基于四阶统计量的近场源定位算法,针对目前近场源定位算法中估计精度和计算复杂度等问题,提出了四种无需参数配对的近场源参数二维参数和三维参数估计算法：1)基于四阶累计量和子空间分解的近场源方向角和距离二维参数联合估计算法,采用非中心对称均匀线阵,其特点是有效降低了阵列孔径的损失,无需参数配对,直接推导出待估计参数的闭式解,降低了算法的复杂性；2)将上述算法扩展到二维接收阵列,提出基于非中心对称十字阵列的近场源方位角、仰角和距离三位参数联合估计算法；3)基于矩阵束的近场源方位角、仰角和距离三维参数联合估计算法,算法采用非中心对称十字阵列,其特点是不需要构造高维累积量矩阵,且矩阵束的广义特征值中包含参数配对信息,降低了算法的计算量和复杂度,减少了阵列孔径的损失；4)基于白化降维技术的近场源方位角、仰角和距离三维参数联合估计算法,算法采用非中心对称十字阵列,其特点是无需构造高维累积量矩阵、参数自动配对,降低了算法的计算量和复杂度,提高了阵列孔径的利用率。
4、研究二维极化敏感阵列下基于二阶统计量和四阶累积量的近场源五维参数联合估计算法：1)基于二阶统计量和TLS-ESPRIT的近场源方向角、仰角、距离和极化信息等五维参数联合估计算法,采用中心对称的十字阵列,其特点是计算量小,估计精度高,且仅需要一次简单的参数配对；2)基于四阶累积量和矩阵束的近场源方向角、仰角、距离和极化信息等五维参数联合估计算法,采用中心对称的十字阵列,其特点是不需要构造高维累积量矩阵,参数配对方法简单,具有较低的计算复杂度；3)基于四阶累积量和子空间分解的近场源方向角、仰角、距离和极化信息等五维参数联合估计算法,采用非中心对称十字阵列,其特点是降低了阵列孔径损失,无需参数配对,直接推导出待估计参数的闭式解,降低了算法的复杂度；4)基于四阶累积量和联合对角化的近场源方向角、仰角、距离和极化信息等五维参数联合估计算法,采用非中心对称十字阵列,其特点是不需要构造高维累积量矩阵,利用白化降维技术和联合对角化直接估计出信源参数,不需参数配对,有效的提高了阵列孔径的利用率,降低了算法的复杂度。
5、研究了服从SαS稳定分布的冲击噪声下近场源方向角和距离二维参数联合估计问题,提出了一种基于分数低阶统计量的FLOS-ESPRIT算法,算法采用中心对称的均匀线阵,其特点是可以抑制冲击噪声对信号的影响,并且对加性高斯白噪声同样有效。
6、对传播算子方法进行研究,提出两种基于传播算子的近场源方向角和距离二维参数联合估计算法：PM-MUSIC和PM-ROOT-MUSIC,其特点是利用传播算子估计出噪声子空间的最小二乘解代替由奇异值分解得到的正交解,达到降低计算量的目的。
7、对近场宽带非平稳信源下的参数估计问题进行研究,提出了一种基于FRFT-MUSIC的近场源方向角和距离二维参数联合估计算法,其特点是在较低的信噪比下仍具有较高的估计精度。
8、对全文进行总结,展望下一步工作,提出了今后有待于进一步研究的问题。
The signal source localization is one of the most important research aspects in array signal processing, whose purpose is to deal with the data received from the antenna array, reduces the interfering signal and noise signal, and estimates the spatial location information of the interested source. According to the distance between the source and the receiver array, the source localization can be classified into far-field source localization and near-field source localization.
Since the 1980s, the source localization technology research is focused on the far field source; by contrast, the research of parameter estimation theory for near-field was relatively less. In recent years, however, the theoretical study of near-field source parameter estimation, which is a new research focusing on the array signal processing, has gradually attracted the attention of scholars. After a development over one decade, many scholars have studied the parameters estimation problems of near-field and have achieved many excellent achievements. Nevertheless, there still remain many problems to be solved in some aspect, such as parameter matching, computation, estimation accuracy, coherent sources and broadband non-stationary signals etc. In this dissertation, the parameters estimation of near-field source is studied from the following six aspects respectively, parameters pairing, array aperture,2-D polarization sensitive array, non-Gaussian noise computation, and broadband non-stationary signals, by means of second order statistics, fractional lower order statistics, fractional Fourier transform and higher order cumulant.
The creative work of this dissertation focuses on five aspects as follows.
1. Utilizing the four order cumulant and non-centro-symmetric cross array, proposes bearing, elevation and range parameters estimation algorithm of near-field based on whiten dimension reduction, subspace decomposition and matrix pencil. The algorithms adoptes the non-centro-symmetric array construction, doesn't require any spectral peak search and additional parameter matching, can directly obtain the closed form solution of the parameters to be estimated, and has the features of high estimation accuracy, low complexity, and high utilization of the array aperture.
2. Utilizing the advantages of anti-interference ability and higher resolution for the polarization sensitive array, by means of second-order statistics and fourth-order cumulant as the main tools of mathematical analysis, studies the parameter estimation problem of near-field based on 2-D polarization sensitive array, proposed one algorithm to estimate elevation, bearing, range, polarization information of near-field based on second order statistics and three algorithms based on four-order cumulant, and solved some problems effectively, such as high-efficiency array aperture, low computation and low computational complexity.
3. Aiming at the impulsive noise features for no second-order statistics and no higher order cumulant, studies the 2-D parameters estimation problem of near-field in SaS Stable distribution impulsive noise, proposes a FLOS-ESPRIT algorithm based on fractional lower order statistics. The algorithm can inhibit the effect of impulsive noise, and has good effect in additive white Gaussian noise too.
4. For the problem of large computation, proposes two 2-D parameter estimation algorithm of near-filed:PM-MUSIC and PM-ROOT-MUSIC. The algorithms used the noise subspace estimated by propagator method instead of orthogonal solution of SVD, and solved the contradictions between estimation accuracy and computation of MUSIC algorithm.
5. For two-dimensional parameters estimation problem of the wideband near field sources of non-stationary, proposes a bearing and range parameters joint estimation algorithm of near field wideband non-stationary sources based on FRFT-MUSIC. Its characteristics are no cross-term interference, have high estimation accuracy, and can be applied for additive noise environment.
This dissertation consists of eight chapters.
1. It introduces the development of array signal processing technology, summarizes the theories of near-field parameter estimation as well as the current research situation at home and abroad, proposes the content to be studied and solved, and defines the research content of this dissertation.
2. It introduces the fundamental knowledge of matrix theory and the polarization sensitive array, introduces the definition and nature of fractional lower order statistics, fractional Fourier transform and higher-order cumulant.
3. It studies the localization algorithm in scalar sensor array based on four-order cumulant. Aiming at the problems of estimation accuracy and complexity, it proposes four parameters estimation algorithm without parameter pairing:(1) A joint estimation algorithm of bearing and range for near-field based on four-order cumulant and subspace decomposition, the algorithm adopts non-centro-symmetric array, and the aperture loss is effectively avoided, the parameters can be paired automatically, reduces the complexity of computation; (2) Above algorithm extends to the 2-D receiver array, proposes 3-D parameter joint estimation algorithm without parameters pairing for near-field sources based on non-centro-symmetric cross array; (3) A 3-D parameter joint estimation algorithm of near-field sources based on MP, the proposed algorithm adopts non-centro-symmetric cross array, so the array aperture loss is effectively avoided. Furthermore, the algorithm estimates the parameters of near field by generalized eigenvalue decompose; the parameter pairing information is contained in the magnitude value of the generalized eigenvalue, so doesn't require the extra parameter pairing method of various parameters, and reduces the complexity of computation. (4) Proposed bearing, elevation and range parameters estimation algorithm of near-field based on whiten dimension reduction, the algorithm need not construct high dimensional cumulant matrix, parameters pairing automatically, reduces the computation and complexity, and improves the utilization of the array aperture.
4. It studies the localization algorithm in 2-D polarization sensitive array based on second order statistics and four-order cumulant:(1) Proposed bearing, elevation, range, and polarization information joint estimation algorithm of near-field based on second order statistics, its features are small computation, high estimation accuracy, and requires a simple parameters pairing only. (2) Proposed 5-D parameters joint estimation algorithm of near-field based on four order cumulant, it need not construct high dimensional cumulant matrix, pairing parameters easily and low complexity. (3) Proposed a joint 5-D parameters estimation algorithm of near-field sources based on four-order cumulant and subspace decomposition, adopts non-centro-symmetric cross polarization sensitive array, avoids the aperture loss effectively, without parameters pairing, reduced the complexity. (4) Proposed 5-D parameters estimation algorithm of near-field based on four order cumulant and joint diagonalization technology, adopts non-centro-symmetric cross polarization sensitive array, need not construct high dimension cumulant matrixes, estimates the signal parameters by whiten dimension reduction and joint diagonalization technology, without parameters pairing, reduces the computation and complexity, improves the utilization of the array aperture.
5. It studies the localization algorithm of near-field in impulsive noise environment, proposes a FLOS-ESPRIT algorithm based on fractional lower order statistics to estimate bearing and range parameters of near-field, The algorithm adopts the center symmetric uniform linear array, can inhibit the effect of impulsive noise, and apply in additive white Gaussian noise environment too.
6. It studies the propagator method, and proposes two algorithms of 2-D parameters estimation for near-field:PM-MUSIC and PM-ROOT-MUSIC, the algorithms use the noise subspace estimated by propagator method instead of orthogonal solution of singular value decomposition, and solve the contradictions between estimation accuracy and computation of MUSIC algorithm for reduce computational purposes.
7. It studies the parameter estimation problem of broadband non-stationary of near field source, proposes a bearing and range joint estimation algorithm of near field source based on FRFT-MUSIC, and it characterizes of high estimation accuracy in low SNR.
8. A brief summary of the dissertation is given, prospects the future work, and proposes the problems to be studied in future.
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