Realization of Complex Wavelet Packet Transform with Perfect Translation Invariance
| Project/Area Number |
21560441
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Measurement engineering
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| Research Institution | The University of Electro-Communications |
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Principal Investigator |
NAKANO Kazushi 電気通信大学, 大学院・情報理工学研究科, 教授 (90136531)
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| Co-Investigator(Kenkyū-buntansha) |
SHIN Seiichi 電気通信大学, 大学院・情報理工学研究科, 教授 (20134463)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
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| Keywords | 信号処理 / ウェーブレットパケット / 並進不変性 / 統計解析 / システム同定 / 多重解像度解析 / 周波数分解能 / 再構成可能性 / 信号分離 / 線形システムの入出力関係 / 地中レーダ信号 |
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| Research Abstract |
The results of this study are summarized as follows :(1) We showed that the perfect translation invariant Complex Discrete Wavelet Transform(PTI-CDWT) cannot be directly extended to the wavelet packet transform. But, it can be realized without multi-resolution analytical structure.(2) We realized two approximate translation invariant Complex Wavelet Packet Transforms(ATI-CWPTs) with multi-resolution analytical structure. The first is called Substitution-type Complex Wavelet Packet Transform, and the second is the Phase-Compensated Complex Wavelet Packet Transform.(3) We applied these two ATI-CWPTs to analysis of the input-output relation of linear systems. This is a basic tool for analyzing time-variant frequency characteristics of linear systems.(4) We applied our proposed ATI-CWPTs to analysis of extraordinary sound signals in rock drilling and location of buried pipes by using Ground-Penetrating Radar. The effectiveness of our developed transforms was demonstrated in industry applications.
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Report
(4 results)
Research Products
(51 results)
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[Presentation] Multi Function Printer Controlled by Images2010
Author(s)
Shota Hamamatsu, KenjiSawada, Seiichi Shin
Organizer
Proc.2010 IRAST International Congresson Computer Applications and Computational Science (CACS 2010)
Place of Presentation
Paramount Hotel, Singapore
Year and Date
2010-12-05
Related Report
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