| Presentation | 2016-08-26 [Poster Presentation] A Design Method of Complex Nonseparable Oversampled Lapped Transforms Satoshi Nagayama, Shogo Muramatsu, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This work extends the theory of nonseparable oversampled lapped transform (NSOLT) for complex images. NSOLT allows us to achieve an overcomplete analysis-synthesis system with nonseparable, overlapping, symmetric, and compact supported filters. Moreover, NSOLT is effective in diagonal edges and sparse representation from its non-separability. Since the conventional NSOLT deals with only real-valued filters, the degree of freedom in design is not exploited for complex signals. We, thus, introduce a theory of complex linear phase paraunitary filter banks into NSOLT. In this work, we propose a lattice-structure-based complex nonseparable oversampled lapped transform ($mathbb{C}$NSOLT) and implement it. The significance of this method is verified by examining analysis-synthesis process for complex images. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Multi-dimensional signal processing / Oversampled filter banks / Complex image / Lattice structure |
| Paper # | SIP2016-81 |
| Date of Issue | 2016-08-18 (SIP) |
| Conference Information | |
| Committee | SIP |
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| Conference Date | 2016/8/25(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Chiba Institute of Technology, Tsudanuma Campus |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Fundamental theory, machine learning, and signal processing |
| Chair | Makoto Nakashizuka(Chiba Inst. of Tech.) |
| Vice Chair | Masahiro Okuda(Univ. of Kitakyushu) / Shogo Muramatsu(Niigata Univ.) |
| Secretary | Masahiro Okuda(Ritsumeikan Univ.) / Shogo Muramatsu(Chiba Inst. of Tech.) |
| Assistant | Osamu Watanabe(Takushoku Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Signal Processing |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | [Poster Presentation] A Design Method of Complex Nonseparable Oversampled Lapped Transforms |
| Sub Title (in English) | |
| Keyword(1) | Multi-dimensional signal processing |
| Keyword(2) | Oversampled filter banks |
| Keyword(3) | Complex image |
| Keyword(4) | Lattice structure |
| 1st Author's Name | Satoshi Nagayama |
| 1st Author's Affiliation | Niigata University(Niigata Univ.) |
| 2nd Author's Name | Shogo Muramatsu |
| 2nd Author's Affiliation | Niigata University(Niigata Univ.) |
| Date | 2016-08-26 |
| Paper # | SIP2016-81 |
| Volume (vol) | vol.116 |
| Number (no) | SIP-196 |
| Page | pp.pp.45-50(SIP), |
| #Pages | 6 |
| Date of Issue | 2016-08-18 (SIP) |