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。我们开发了一种方法来估计传输函数模型的死时间，通过采用线性系统的有限数据输入/输出相关函数的小波变换，并从频域的角度重新考虑了该方法。2。我们开发了一种方法来估计传递函数模型的频率响应，通过将线性系统的有限数据输入/输出相关函数的小波变换以及频率域中最小二乘方法的时间变化的理性部分估算到传递函数的时间变化零件。3。我们。将此处提出的方法扩展到2输入/2输出线性反馈系统，并将其应用于发电站的水管鼓锅炉的控制系统。这证明了我们方法的可行性和有效性4。我们根据相关函数的小波变换（频率依赖性的短时傅立叶变换）研究了频谱的归一化。5。我们在一般假设下分析了相关素函数的小波变换与功率谱之间的关系。结果，我们通过使用指数函数的乘法和偶数功能（包括Gabor函数作为分析小波）来显示这些密切关系。6。为传输函数估计而开发的方法基于Blackman-Tukey方法，称为间接方法。我们通过直接采用称为直接方法的线性系统的输入/输出数据的小波变换来提出了转移函数估计的另一种方法。7。随着小波变换的应用，我们开发了一种新的方法，可以在声音信号的复杂混合物中进行盲源分离，并分析了自行车的非凡声音。