2011 Fiscal Year Final Research Report
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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| Keywords | 信号処理 / ウェーブレットパケット |
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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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