A Study on Wavelet-based Identification of Nonstationary Systems

基于小波的非平稳系统辨识研究

• 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
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11650457/
• 关键词: Linear Continuous-Time Systems; Dead time; Continous Wavelet Transform; System Identification; Time-Vanying Systems; Spectral Estimation; Gabor Function; Blind Separation; ウェブレット変換; むだ時間推定; 伝達関数推定; Blackman-Tukey法; スペクトル密度推定; ボイラ; ブラインドセパレーシ

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. 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.

项目成果

中野 和司, 田原 鉄也, 新 誠一, 豊田 幸裕, 辻野 太郎, 美松 透: "ウェブレット解析を用いたドラムボイラ制御系設計のための同定"電気学会論文誌D. 122-D-2. 111-119 (2002)

Kazushi Nakano、Tetsuya Tahara、Seiichi Arata、Yukihiro Toyota、Taro Tsujino、Toru Mimatsu：“使用 weblet 分析识别汽包锅炉控制系统设计”IEEJ Transactions D. 122-D-2 (2002)。

中野, 増野, 富塚: "オーバーパラメータモデルを用いた同定におけるパラメータ変換とバイアス補償最小2乗推定"システム制御情報学会論文誌. 13. 72-79 (2000)

Nakano、Masuno、Tomitsuka：“使用超参数模型进行识别中的参数变换和偏差补偿最小二乘估计”，系统、控制和信息工程师学会汇刊。13. 72-79 (2000)。

中野和司,豊田幸裕: "ウェーブレット解析に基づくむだ時間系同定とそのボイラへの応用"計測と制御. 39・11. 701-705 (2000)

Kazushi Nakano，Yukihiro Toyota：“基于小波分析的死区时间系统识别及其在锅炉中的应用”39・11（2000）。

中野, 田原, 新, 豊田, 辻野, 濱松: "ウェーブレット解析を用いたドラムボイラ制御系設計のための同定"電気学会論文誌. 122-D. 111-119 (2002)

Nakano、Tahara、Arata、Toyota、Tsujino、Hamamatsu：“使用小波分析识别汽包锅炉控制系统设计”日本电气工程师学会汇刊 122-D（2002 年）。

K. Nakano, M. Mashino and M. Tomizuka: "Bias-Compensated Least-Squares Estimation and Parameter Transformation in Identification with Over-Parametrized Models"Trans. ISCIE. 13. 72-79 (2000)

K. Nakano、M. Mashino 和 M. Tomizuka：“超参数化模型识别中的偏差补偿最小二乘估计和参数变换”Trans。