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Hokkaido University Collection of Scholarly and Academic Papers >
Hokkaido University Sustainability Weeks >
Sustainability Weeks 2009 >
2009 APSIPA Annual Summit and Conference >
On the Correlation Property of Multiscaling Coefficients for Signal Denoising
| Title: | On the Correlation Property of Multiscaling Coefficients for Signal Denoising |
| Authors: | Ma, Eddie C.Y. Browse this author | | Lun, Daniel P.K. Browse this author | | Hsung, Tai-Chiu Browse this author |
| Keywords: | multiwavelet | | wavelets | | denoising | | cross correlations |
| Issue Date: | 4-Oct-2009 |
| Publisher: | Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference, International Organizing Committee |
| Journal Title: | Proceedings : APSIPA ASC 2009 : Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference |
| Start Page: | 445 |
| End Page: | 448 |
| Abstract: | The discrete multiwavelet transform (DMWT) enables a signal to be analyzed in a multiresolution and multidimensional way. While the generated multiwavelet coefficients are vectors in nature, it has been generally understood that correlation exists between the vector elements. This feature has been adopted particularly in image coding applications to allow efficient design of VQ codebook. For a multiresolution analysis, the multiwavelet coefficients are generated from the multiscaling coefficients of the upper level. In this paper, we show that many multiwavelet systems cannot give correlated multiscaling vector elements, as different from the multiwavelet vector elements. But for those that can give correlated multiscaling vector elements, they can provide much information to assist in identifying the "blank" regions in a noisy signal. A new denoising algorithm is then proposed based on this feature and is particularly useful for sparse source signals. |
| Description: | APSIPA ASC 2009: Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference. 4-7 October 2009. Sapporo, Japan. Poster session: Signal Processing Theory and Methods I (6 October 2009). |
| Conference Name: | APSIPA ASC 2009: Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference | | 2009年アジア太平洋信号情報処理連合学会アニュアルサミット・国際会議 |
| Conference Place: | Sapporo |
| Type: | proceedings |
| URI: | http://hdl.handle.net/2115/39738 |
| Appears in Collections: | 北海道大学サステナビリティ・ウィーク2009 (Sustainability Weeks 2009) > 2009年アジア太平洋信号情報処理連合学会アニュアルサミット・国際会議 (2009 APSIPA Annual Summit and Conference)
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