Quasi-Shift-Invariant Complex Discrete Wavelet Transfrom and Its Industrial Applications
| Project/Area Number |
24560515
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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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, 情報理工学(系)研究科, 教授/副学長 (90136531)
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| Co-Investigator(Kenkyū-buntansha) |
SHIN Seiichi 電気通信大学, 情報理工学研究科, 教授 (20134463)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
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| Keywords | ウェーブレット変換 / 複素離散ウェーブレット / 並進不変性 / CQFバンク / 疑似並進不変性 / 離散ウェーブレット変換 / 複素離散ウェーブレット変換 / ウェーブレットパケット / シフト不変 / 周波数オーダー / ガボールウェーブレット / 地中レーダー / 埋蔵物探査 / 自動対外式除細動器 / シフト不変性 / 地中レーダ / 埋蔵物標定 / 心電図 / 自動体外式除細動器 |
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| Outline of Final Research Achievements |
We focus on the Shift-Invariance (SI) in the Complex Discrete Wavelet Transform (CDWT). Our results about the SI of CDWT using the conjugate quadrature filter (CQF) bank are as follows: (1) By adding another condition to the existing well-known condition half-sample shifts of Low-pass filters, we clarified a method for constructing the perfect SI in theory. The additional condition is for establishing the relationship of half-sample shifts between real/imaginary inputs.(2) We proposed the implementation of new CDWT based on above (1), and named it the quasi-shiftinvariant (QSI) CDWT. (3) We factored filters of QSI-CDWT into lifting steps. (4) From three experiments with an application to image processing, we demonstrated that our method has higher SI than conventional SI-CDWT.
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Report
(4 results)
Research Products
(21 results)
