Fundamental Researches on Statistical Systems Modeling

统计系统建模基础研究

• 批准号: 07650491
• 负责人: INOUYE Yujiro
• 金额: $ 1.15万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07650491/
• 关键词: System Modeling; System Identification; Multichannel Systemns; Statistical Approach; Cumulants; Blind Equalization

Recently, with the rapid development of high-speed digital computers, there has been increasing interests in applying higher-order statistics called cumulants to several modeling problems of dynamic or static systems. In this research, we consedered blind idntification and blind deconvolution (or blind equalization) of a discrete-time linear system using the third-order or the fourth-order cumulants of the output signals contaminated by additive white or colored Gaussian noise. We first dealt with the problem of identification of multichannel linear systems driven by unobservable colored signals. It was shown that the transfer function matrix of an unknown system is identified up to post-multiplication of a generalized permutation matrix. Then we considered the blind deconvolution (or blind equalization) problem of multichannel linear systems, and propose a multistage maximization criterion and a single-stage maximization criterion for solving this problem. We derived a necessary and sufficient condition for multichannel blind equalization. We proposed a new unconstrained multistage criterion for solving the blind deconbolution problem. Based on these multistage criteria, we developed iterative algorithms for multichannel blind deconvolution.

近年来，随着高速数字计算机的迅速发展，将高阶统计量（称为累积量）应用于动态或静态系统的建模问题越来越受到人们的关注。本文研究了离散时间线性系统在加性白色或有色高斯噪声污染下，利用输出信号的三阶或四阶累积量进行盲辨识和盲解卷积（或盲均衡）。我们首先处理的问题，识别的多通道线性系统驱动的不可观测的有色信号。结果表明，一个未知系统的传递函数矩阵识别的广义置换矩阵的后乘。然后，我们考虑了多通道线性系统的盲解卷积（或盲均衡）问题，并提出了一个多级最大化准则和一个单级最大化准则来解决这个问题。给出了多信道盲均衡的一个充分必要条件。我们提出了一个新的无约束多级准则解决盲解卷积问题。基于这些多级准则，我们发展了多通道盲解卷积的迭代算法。

项目成果

T.Yamamoto, Y.Inouye, and M.Kaneda: "A Simple Pole-Assignment Scheme for Designing Multivariable Self-Turning Controllers" Proc.IFAC Sympos.on Adaptive Systems in Control and Signal Processing. 425-430 (1995)

T.Yamamoto、Y.Inouye 和 M.Kaneda：“用于设计多变量自转动控制器的简单极点分配方案”Proc.IFAC Sympos.on 控制和信号处理中的自适应系统。

井上雄二郎 他1名: "Blind Equalization of Digital Communication Channels Using Fractionally Spaced Samples" Proc.IEEE Int.Sympos.on Circuits and Systems. 2. 165-168 (1996)

Yujiro Inoue 和其他 1 人：“使用分数间隔样本的数字通信通道的盲均衡”Proc.IEEE Int.Sympos.on 电路和系统 2. 165-168 (1996)。

山本 透他 2名: "A Simple Pole-Assignment Scheme for Designing Multivariable Self-Turning Controllers" Proc.IFAC Sympos on Adaptive Systems in Control and Signal Processing. 425-430 (1995)

Toru Yamamoto 和其他 2 人：“用于设计多变量自转动控制器的简单极点分配方案”Proc.IFAC Sympos on Adaptive Systems in Control and Signal Handling 425-430 (1995)。

Y.Inouye: "Criteria for Blind Deconbolution of Multichannel Linear Time-Invariant Systems" Proc.35th IEEE Int.Conf.on Decision and Control. 1521-1526 (1996)

Y.Inouye：“多通道线性时不变系统的盲解的标准”Proc.35th IEEE Int.Conf.on Decision and Control。

井上雄二郎: "Criteria for Blind Deconbolution of Multichannel Linear Time-Invariant Systems" Proc.35th IEEE Int.Conf.on Decision and Control. 1521-1526 (1996)

Yujiro Inoue：“多通道线性时不变系统的盲解的标准”Proc.35th IEEE Int.Conf.on Decision and Control 1521-1526 (1996)。