Recently we have developed an eigenvector method (EVM) which can achieve the blind deconvolution (BD) for MIMO systems. One of attractive features of the proposed algorithm is that the BD can be achieved by calculatin...Recently we have developed an eigenvector method (EVM) which can achieve the blind deconvolution (BD) for MIMO systems. One of attractive features of the proposed algorithm is that the BD can be achieved by calculating the eigenvectors of a matrix relevant to it. However, the performance accuracy of the EVM depends highly on computational results of the eigenvectors. In this paper, by modifying the EVM, we propose an algorithm which can achieve the BD without calculating the eigenvectors. Then the pseudo-inverse which is needed to carry out the BD is calculated by our proposed matrix pseudo-inversion lemma. Moreover, using a combination of the conventional EVM and the modified EVM, we will show its performances comparing with each EVM. Simulation results will be presented for showing the effectiveness of the proposed methods.展开更多
Matrices and integral operators with off-diagonal decay appear in numerous areas of mathematics including numerical analysis and harmonic analysis, and they also play impor-tant roles in engineering science including ...Matrices and integral operators with off-diagonal decay appear in numerous areas of mathematics including numerical analysis and harmonic analysis, and they also play impor-tant roles in engineering science including signal processing and communication engineering. Wiener’s lemma states that the localization of matrices and integral operators are preserved un-der inversion. In this introductory note, we re-examine several approaches to Wiener’s lemma for matrices. We also review briefly some recent advances on localization preservation of operations including nonlinear inversion, matrix factorization and optimization.展开更多
研究含有多面体参数摄动D e lta算子系统的鲁棒H∞滤波问题.基于D e lta算子系统有界实引理,提出了新的参数依赖型鲁棒H∞性能准则.利用该性能准则,采用线性矩阵不等式技术推导了此类系统全阶鲁棒H∞滤波器存在的充分条件,并通过求解一...研究含有多面体参数摄动D e lta算子系统的鲁棒H∞滤波问题.基于D e lta算子系统有界实引理,提出了新的参数依赖型鲁棒H∞性能准则.利用该性能准则,采用线性矩阵不等式技术推导了此类系统全阶鲁棒H∞滤波器存在的充分条件,并通过求解一个凸优化问题来设计滤波器.与基于二次稳定的滤波方案相比,该方法具有较小的保守性.最后以数值示例验证了所提出方法的可行性.展开更多
文摘Recently we have developed an eigenvector method (EVM) which can achieve the blind deconvolution (BD) for MIMO systems. One of attractive features of the proposed algorithm is that the BD can be achieved by calculating the eigenvectors of a matrix relevant to it. However, the performance accuracy of the EVM depends highly on computational results of the eigenvectors. In this paper, by modifying the EVM, we propose an algorithm which can achieve the BD without calculating the eigenvectors. Then the pseudo-inverse which is needed to carry out the BD is calculated by our proposed matrix pseudo-inversion lemma. Moreover, using a combination of the conventional EVM and the modified EVM, we will show its performances comparing with each EVM. Simulation results will be presented for showing the effectiveness of the proposed methods.
基金supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education,Science and Technology(2013R1A1A2005402)National Science Foundation(DMS-1109063)
文摘Matrices and integral operators with off-diagonal decay appear in numerous areas of mathematics including numerical analysis and harmonic analysis, and they also play impor-tant roles in engineering science including signal processing and communication engineering. Wiener’s lemma states that the localization of matrices and integral operators are preserved un-der inversion. In this introductory note, we re-examine several approaches to Wiener’s lemma for matrices. We also review briefly some recent advances on localization preservation of operations including nonlinear inversion, matrix factorization and optimization.
文摘研究含有多面体参数摄动D e lta算子系统的鲁棒H∞滤波问题.基于D e lta算子系统有界实引理,提出了新的参数依赖型鲁棒H∞性能准则.利用该性能准则,采用线性矩阵不等式技术推导了此类系统全阶鲁棒H∞滤波器存在的充分条件,并通过求解一个凸优化问题来设计滤波器.与基于二次稳定的滤波方案相比,该方法具有较小的保守性.最后以数值示例验证了所提出方法的可行性.
