A Study on Wavelet-based Identification of Nonstationary Systems

基于小波的非平稳系统辨识研究

基本信息

批准号：
11650457
负责人：
NAKANO Kazushi
金额：
$ 0.64万
依托单位：
The University of Electro-Communications
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1999
资助国家：
日本
起止时间：
1999 至 2001
项目状态：
已结题

项目摘要

1. We developed a method for estimating the dead time of transfer function model by taking the wavelet transform of finite-data input/output correlation function of linear systems, and reconsidered the method from the viewpoint of frequency domain.2. We developed a method of estimating the frequency response of transfer function model by taking the wavelet transforms of finite-data input/output correlation functions of linear systems, and of estimating the time-varying rational parts of transfer functions by the least squares method in the frequency domain.3. We. extended the methods proposed here to the 2-input/2-output linear feedback systems, and applied them to the control system of water-tube drum boiler in the power station. This demonstrates the feasibility and effectiveness of our methods.4. We investigated the normalization of spectrum based on the, wavelet transform (frequency-dependent short-time Fourier transform) of correlation function.5. We analyzed the relation between the wavelet transform of the correlatin function and the power spectrum under a general assumption. As a result, we showed theoretically these close relation by using the multiplication of the exponential function and the even function including the Gabor function as an analyzing wavelet.6. The method developed for the transfer function estimation is based on the Blackman-Tukey method, called the indirect method. We proposed another method for the transfer function estimation by directly taking the wavelet transforms of input/output data of linear systems called the direct method.7. As the applications of the wavelet transform, we developed a new method of blind source separation in convoluted mixture of sound signals, and we analyzed the extraordinary sounds of bike.

1．提出了一种利用线性系统有限数据输入/输出相关函数的小波变换来估计传递函数模型死区时间的方法，并从频域的角度重新考虑了该方法。2．我们开发了一种通过对线性系统的有限数据输入/输出相关函数进行小波变换来估计传递函数模型的频率响应的方法，以及通过最小二乘法来估计传递函数的时变有理部分的方法。频域.3.我们。将本文提出的方法推广到2输入2输出线性反馈系统，并将其应用到电站水管汽包锅炉的控制系统中。这证明了我们方法的可行性和有效性。4．我们研究了基于相关函数的小波变换（频率相关的短时傅里叶变换）的频谱归一化。 5．我们在一般假设下分析了相关函数的小波变换与功率谱之间的关系。结果，我们利用指数函数和偶函数（包括Gabor函数）的乘法作为分析小波，从理论上证明了这些密切关系。 6．为传递函数估计开发的方法基于 Blackman-Tukey 方法，称为间接方法。我们提出了另一种通过直接对线性系统的输入/输出数据进行小波变换来估计传递函数的方法，称为直接法。7．作为小波变换的应用，我们开发了一种在声音信号的卷积混合中进行盲源分离的新方法，并分析了自行车的非凡声音。