| Presentation | 2012/10/11 A Design of Hilbert Transformers using an L_1 error criterion Ikuya MURAKAMI, Naoyuki AIKAWA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we propose a design method of Hilbert Transformers using an L_1 error criterion. Conventional Hilbert Transformers have been designed by using an L_2 error criterion or an L_∞ error criterion. In contrast, we use an L_1 error criterion for designing Hilbert Transformers. Therefore, compared with conventional design methods, the passband ripple is reduced. Furthermore, we solve the L_1 minimization problem by using the Newton's method. We show that the vector space of the coefficients of the L_1 norm is a closed set and a convex set in order to ensure that the obtained solution is global optimal solution. Finally, we show the effectiveness of the proposed method through an example. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | FIR digital filter / Hilbert Transformer / L_1 norm / Newton's method |
| Paper # | VLD2012-42,SIP2012-64,ICD2012-59,IE2012-661 |
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| Conference Information | |
| Committee | SIP |
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| Conference Date | 2012/10/11(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Signal Processing (SIP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Design of Hilbert Transformers using an L_1 error criterion |
| Sub Title (in English) | |
| Keyword(1) | FIR digital filter |
| Keyword(2) | Hilbert Transformer |
| Keyword(3) | L_1 norm |
| Keyword(4) | Newton's method |
| 1st Author's Name | Ikuya MURAKAMI |
| 1st Author's Affiliation | Graduate School of Industrial Science and Technology, Tokyo University of Science() |
| 2nd Author's Name | Naoyuki AIKAWA |
| 2nd Author's Affiliation | Faculty of Industrial Science and Technology, Tokyo University of Science |
| Date | 2012/10/11 |
| Paper # | VLD2012-42,SIP2012-64,ICD2012-59,IE2012-661 |
| Volume (vol) | vol.112 |
| Number (no) | 246 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |