Multi-Resolution Analysis of Stochastic Processes

随机过程的多分辨率分析

• 批准号: 11650435
• 负责人: AKIDUKI Kageo
• 金额: $ 0.83万
• 依托单位: Waseda University
• 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 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11650435/
• 关键词: Signal Processing; Wavelet Transformation; Signal Compression; Optical Flow; Multi-Tree Structure; Stochastic Process; Sensor Fusion; Multi-Scale System; 推定

Some basic theories and applications of Multi-Resolution analysis to stochastic processes are developed in this research. Obtained results are as follows :(1) A multi-scale system representation to a linear stochastic system described by a stochastic differential equation is obtained. Calculation amount in estimation problem is decreased by using this model.(2) An estimation method of optical flow is proposed. This method has a special characteristic in applying with multi-resolution analysis. On the assumption that data of images are approximately fBm processes, we estimate the parameter values of the process. Using multi-scale system theory, we can estimate the optical flow with very small calculation amount.(3) A new signal compression method by a translation-invariant Wavelet Transformation is researched. For audio signal, we also developed a signal compression technique by considering hearing characteristics of human being.(4) Multiple tree systems are proposed as a senser fusion model. A realization technique of this system is obtained and some estimation problems on this system are also researched.

本研究发展了随机过程多分辨率分析的一些基本理论和应用。所得结果如下：(1)得到了用随机微分方程描述的线性随机系统的多尺度系统表示。使用该模型可以减少估计问题的计算量。(2)提出了一种光流估计方法。该方法在多分辨率分析中具有特殊的应用特点。在假设图像数据近似为fBm过程的前提下，我们估计了该过程的参数值。利用多尺度系统理论，可以用很小的计算量来估计光流。(3)研究了一种新的平移不变小波变换信号压缩方法。对于音频信号，我们还开发了一种考虑人的听觉特性的信号压缩技术。(4)提出多树系统作为传感器融合模型。给出了该系统的实现技术，并对该系统的一些估计问题进行了研究。

项目成果

Jaka Sembiring Kageo Akizuki: "Computation of Smoothing Algorithm on Multiple Tree Structure"Proc.of ICEE'99 Hong Kong. 166-169 (1999)

Jaka Sembiring Kageo Akizuki：“多树结构平滑算法的计算”Proc.of ICEE99 Hong Kong。

Jaka Sembiring, Kageo Akizuki: "Computation of smoothing Algorithm on Multiple Tree Structure"Proc.of ICEE'99 Hongkong. 166-169 (1999)

Jaka Sembiring、Kageo Akizuki：“多树结构上的平滑算法的计算”Proc.of ICEE99 Hongkong。

A.Yano,M.Nakabayashi J.Sembiring,K.Akizuki: "Voice Compression with Translation-Invariant Wavelet Transformation"Proc.of ICEE'2000 Kitakyushu. 78-81 (2000)

A.Yano，M.Nakabayashi J.Sembiring，K.Akizuki：“具有平移不变小波变换的语音压缩”Proc.of ICEE2000 Kitakyushu。

Atsuyoshi Yano, Makoto Nakabayashi, Jaka Sembiring, Kageo Akizuki: "Voice Compression with Translation-Invariant Wavelet Transformation"Proc.of IECC'2000 Kitakyushu. 78-81 (2000)

Atsuyoshi Yano、Makoto Nakabayashi、Jaka Sembiring、Kageo Akizuki：“具有平移不变小波变换的语音压缩”Proc.of IECC2000 Kitakyushu。

Jaka Sembiring, Kageo Akizuki: "Stochastic Process on CL Multiwavelet"Proc.of ISCIE SSS'O0 Tottori. 105 (2000)

Jaka Sembiring、Kageo Akizuki：“CL Multiwavelet 上的随机过程”Proc.of ISCIE SSSO0 Tottori。