船载高频地波雷达(High Frequency Surface Wave Radar, HFSWR)的平台机动运动会使目标回波信号发生展宽,引起目标回波幅度和信噪比降低,进而对目标波达方向估计(Direction of Arrival, DOA)产生不利的影响。针对船载地波雷达展宽目标DO...船载高频地波雷达(High Frequency Surface Wave Radar, HFSWR)的平台机动运动会使目标回波信号发生展宽,引起目标回波幅度和信噪比降低,进而对目标波达方向估计(Direction of Arrival, DOA)产生不利的影响。针对船载地波雷达展宽目标DOA估计问题,本文提出了一种基于时频信息Toeplitz协方差重构的展宽目标DOA估计方法。该方法首先采用结合航向补偿的时频分析处理,来提取展宽目标信号的脊线,可为充分利用展宽目标时频信息来构建协方差矩阵奠定基础。然后对构建的协方差矩阵进行Toeplitz化,实现了非平稳噪声的抑制,提高了目标信噪比,解决了展宽目标信噪比下降的问题,从而实现目标的方位角估计。最后,通过仿真和实测数据对本文提出的方法进行验证,结果表明本文所提方法在相同信噪比和目标展宽程度下均方根误差比单峰值MUSIC和DBF方法减小了1.2°,证明了本文所提方法的有效性。展开更多
本文主要研究单位圆盘的Bergman空间上斜Toeplitz算子的交换性问题,利用Mellin变换得到以径向函数为符号的斜Toeplitz算子与解析斜Toeplitz算子可交换的一个必要条件,以及以特殊径向函数为符号的斜Toeplitz算子与解析斜Toeplitz算子可...本文主要研究单位圆盘的Bergman空间上斜Toeplitz算子的交换性问题,利用Mellin变换得到以径向函数为符号的斜Toeplitz算子与解析斜Toeplitz算子可交换的一个必要条件,以及以特殊径向函数为符号的斜Toeplitz算子与解析斜Toeplitz算子可交换的充要条件;并得到以函数azs+b| z |2t为符号的斜Toeplitz算子与解析斜Toeplitz算子可交换的充要条件。展开更多
本文给出调和Bergman空间上的斜Toeplitz算子和其衍生算子的概念,并介绍了衍生算子的积分表示、有界性和紧性。此有界性和紧性为后续研究斜Toeplitz算子的有界性和紧性提供了研究方法。In this paper, the concepts of slant Toeplitz o...本文给出调和Bergman空间上的斜Toeplitz算子和其衍生算子的概念,并介绍了衍生算子的积分表示、有界性和紧性。此有界性和紧性为后续研究斜Toeplitz算子的有界性和紧性提供了研究方法。In this paper, the concepts of slant Toeplitz operators and its derivative operators on harmonic Bergman Spaces are given, and the integral representation, boundness and compactness of the derivative operators are introduced. The boundedness and compactness provide a method for the subsequent studies of boundedness and compactness of slant Toeplitz operators.展开更多
第五代移动通信技术(5th-generation mobile communication technology,5G)网络对高速率、低时延、高可靠性的移动通信处理需求不断增加,对终端基带信道估计算法的高性能和低复杂度设计、矩阵处理动态范围提出挑战。针对上述问题,本文...第五代移动通信技术(5th-generation mobile communication technology,5G)网络对高速率、低时延、高可靠性的移动通信处理需求不断增加,对终端基带信道估计算法的高性能和低复杂度设计、矩阵处理动态范围提出挑战。针对上述问题,本文提出一种基于相关矩阵托普利兹(Toeplitz)特性的信道估计算法。依据信道的相干带宽特性计算信道相关矩阵并保留必要的较低矩阵阶数;基于相关矩阵的Toeplitz特性设计低复杂度的递归求逆算法,并针对加权矩阵乘法的元素重复性将矩阵乘法化简为矩阵点乘,简化加权矩阵运算;同时引入跟踪信噪比变化的缩放补偿因子对计算过程和结果分别进行缩放和补偿。理论分析和仿真结果显示,本文所提算法可在达到优异的信道估计性能条件下,有效降低运算复杂度,并极大降低算法矩阵处理的动态范围。展开更多
研究了单位圆盘D上从加权Bergman空间到Hardy空间的Toeplitz算子,刻画了单位圆盘上p和q值不同时,从加权Bergman空间Aαp到Hardy空间Hp的Toeplitz算子的有界性和紧性。We study Toeplitz operators from weighted Bergman spaces to Hard...研究了单位圆盘D上从加权Bergman空间到Hardy空间的Toeplitz算子,刻画了单位圆盘上p和q值不同时,从加权Bergman空间Aαp到Hardy空间Hp的Toeplitz算子的有界性和紧性。We study Toeplitz operators from weighted Bergman spaces to Hardy spaces in the unit disk of D. We characterize the boundedness and compactness of Toeplitz operators from weighted Bergman spaces Aαpto Hardy spaces Hpfor the different values of p and q in the unit disk.展开更多
In this paper,it is shown that the harmonic Bergman projection P_(ω)^(h),induced by a radial,induced by a radial weightω,is bounded and onto from L^(∞)(D)to the harmonic Bloch space B_(h)if and only ifω∈D,,which ...In this paper,it is shown that the harmonic Bergman projection P_(ω)^(h),induced by a radial,induced by a radial weightω,is bounded and onto from L^(∞)(D)to the harmonic Bloch space B_(h)if and only ifω∈D,,which is a class of radial weights satisfying the two-sided doubling conditions.As an application,the bounded and compact positive Toeplitz operators T_(μ,ω)on the endpoint case weighted harmonic Bergman space L_(h,ω)^(1)(D)are characterized.展开更多
We consider the hyponormality of the block dual Toeplitz operator S_(Φ)acting on the orthogonal complement of the vector valued weighted Bergman space (A_(α)^(2)(D,C^(n)))^(⊥).We provide a necessary and sufficient ...We consider the hyponormality of the block dual Toeplitz operator S_(Φ)acting on the orthogonal complement of the vector valued weighted Bergman space (A_(α)^(2)(D,C^(n)))^(⊥).We provide a necessary and sufficient condition for the hyponormality of SΦwith matrix valued bounded harmonic symbol.In this process,we introduce a function g_(w,s)∈(A_(α)^(2)(D))^(⊥),which is similar to the reproducing kernel of the weighted Bergman space A_(α)^(2)(D).We also give some additional applications of the function gw,s∈(A_(α)^(2)(D))^(⊥).展开更多
We consider dual Toeplitz operators on the orthogonal complements of the FockSobolev spaces of all nonnegative real orders.First,for symbols in a certain class containing all bounded functions,we study the problem of ...We consider dual Toeplitz operators on the orthogonal complements of the FockSobolev spaces of all nonnegative real orders.First,for symbols in a certain class containing all bounded functions,we study the problem of when an operator which is finite sums of the dual Toeplitz products is compact or zero.Next,for bounded symbols,we construct a symbol map and exhibit a short exact sequence associated with the C^(*)-algebra generated by all dual Toeplitz operators with bounded symbols.展开更多
文摘船载高频地波雷达(High Frequency Surface Wave Radar, HFSWR)的平台机动运动会使目标回波信号发生展宽,引起目标回波幅度和信噪比降低,进而对目标波达方向估计(Direction of Arrival, DOA)产生不利的影响。针对船载地波雷达展宽目标DOA估计问题,本文提出了一种基于时频信息Toeplitz协方差重构的展宽目标DOA估计方法。该方法首先采用结合航向补偿的时频分析处理,来提取展宽目标信号的脊线,可为充分利用展宽目标时频信息来构建协方差矩阵奠定基础。然后对构建的协方差矩阵进行Toeplitz化,实现了非平稳噪声的抑制,提高了目标信噪比,解决了展宽目标信噪比下降的问题,从而实现目标的方位角估计。最后,通过仿真和实测数据对本文提出的方法进行验证,结果表明本文所提方法在相同信噪比和目标展宽程度下均方根误差比单峰值MUSIC和DBF方法减小了1.2°,证明了本文所提方法的有效性。
文摘本文主要研究单位圆盘的Bergman空间上斜Toeplitz算子的交换性问题,利用Mellin变换得到以径向函数为符号的斜Toeplitz算子与解析斜Toeplitz算子可交换的一个必要条件,以及以特殊径向函数为符号的斜Toeplitz算子与解析斜Toeplitz算子可交换的充要条件;并得到以函数azs+b| z |2t为符号的斜Toeplitz算子与解析斜Toeplitz算子可交换的充要条件。
文摘本文给出调和Bergman空间上的斜Toeplitz算子和其衍生算子的概念,并介绍了衍生算子的积分表示、有界性和紧性。此有界性和紧性为后续研究斜Toeplitz算子的有界性和紧性提供了研究方法。In this paper, the concepts of slant Toeplitz operators and its derivative operators on harmonic Bergman Spaces are given, and the integral representation, boundness and compactness of the derivative operators are introduced. The boundedness and compactness provide a method for the subsequent studies of boundedness and compactness of slant Toeplitz operators.
文摘第五代移动通信技术(5th-generation mobile communication technology,5G)网络对高速率、低时延、高可靠性的移动通信处理需求不断增加,对终端基带信道估计算法的高性能和低复杂度设计、矩阵处理动态范围提出挑战。针对上述问题,本文提出一种基于相关矩阵托普利兹(Toeplitz)特性的信道估计算法。依据信道的相干带宽特性计算信道相关矩阵并保留必要的较低矩阵阶数;基于相关矩阵的Toeplitz特性设计低复杂度的递归求逆算法,并针对加权矩阵乘法的元素重复性将矩阵乘法化简为矩阵点乘,简化加权矩阵运算;同时引入跟踪信噪比变化的缩放补偿因子对计算过程和结果分别进行缩放和补偿。理论分析和仿真结果显示,本文所提算法可在达到优异的信道估计性能条件下,有效降低运算复杂度,并极大降低算法矩阵处理的动态范围。
文摘研究了单位圆盘D上从加权Bergman空间到Hardy空间的Toeplitz算子,刻画了单位圆盘上p和q值不同时,从加权Bergman空间Aαp到Hardy空间Hp的Toeplitz算子的有界性和紧性。We study Toeplitz operators from weighted Bergman spaces to Hardy spaces in the unit disk of D. We characterize the boundedness and compactness of Toeplitz operators from weighted Bergman spaces Aαpto Hardy spaces Hpfor the different values of p and q in the unit disk.
基金supported by the National Natural Science Foundation of China(12171075)the Science and Technology Research Project of Education Department of Jilin Province(JJKH20241406KJ)Zhan’s research was supported by the Doctoral Startup Fund of Liaoning University of Technology(XB2024029).
文摘In this paper,it is shown that the harmonic Bergman projection P_(ω)^(h),induced by a radial,induced by a radial weightω,is bounded and onto from L^(∞)(D)to the harmonic Bloch space B_(h)if and only ifω∈D,,which is a class of radial weights satisfying the two-sided doubling conditions.As an application,the bounded and compact positive Toeplitz operators T_(μ,ω)on the endpoint case weighted harmonic Bergman space L_(h,ω)^(1)(D)are characterized.
基金Supported by the Scientific Research Fund of Liaoning Provincial Education Department of China (Grant No.LJKMZ20221405)the National Natural Science Foundation of China (Grant No.12031002)。
文摘We consider the hyponormality of the block dual Toeplitz operator S_(Φ)acting on the orthogonal complement of the vector valued weighted Bergman space (A_(α)^(2)(D,C^(n)))^(⊥).We provide a necessary and sufficient condition for the hyponormality of SΦwith matrix valued bounded harmonic symbol.In this process,we introduce a function g_(w,s)∈(A_(α)^(2)(D))^(⊥),which is similar to the reproducing kernel of the weighted Bergman space A_(α)^(2)(D).We also give some additional applications of the function gw,s∈(A_(α)^(2)(D))^(⊥).
基金supported by the NSFC(12271134,11771401)supported by the Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education(NRF-2019R1I1A3A01041943)。
文摘We consider dual Toeplitz operators on the orthogonal complements of the FockSobolev spaces of all nonnegative real orders.First,for symbols in a certain class containing all bounded functions,we study the problem of when an operator which is finite sums of the dual Toeplitz products is compact or zero.Next,for bounded symbols,we construct a symbol map and exhibit a short exact sequence associated with the C^(*)-algebra generated by all dual Toeplitz operators with bounded symbols.
