| Presentation | 2000/10/17 Kernel design of generalized class of discrete-time discrete-frequency time-frequency distributions based on Hybrid steepest descent method Hiroshi HASEGAWA, Isao YAMADA, Kohichi SAKANIWA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The generalized class of time-frequency distributions are recognized as a powerful tool for analysis of nonstationary signals. For analysis of discrete-time signals, some discrete-time forms of the generalized class are proposed. These generalized classes are completely characterized in terms of kernels. The kernels are designed so that corresponding distributions have desirable properties, and Oh et al. presented a systematic approach to kernel synthesis based on POCS. In this paper, for the purpose of analysis of finite-extent discrete-time signals, we define a discrete-time discrete-frequency time-frequency distributions which is a discrete-frequency form of Jeong and Williams' generalized class of discrete-time continuous-frequency time-frequency distributions. The set of kernels satisfying each standard requirement is characterized as a closed convex set. All kernels satisfying all requirement becomes their intersection. We define the optimal kernel as a kernel, in the intersection, that is nearest to given conventional kernel which is empirically known to have good performance. It is shown that the optimal kernel is derived by applying Hybrid steepest descent method. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Time-frequency analysis / generalized class / kernel synthesis / discrete-time discrete-frequency / Hybrid Steepest Descent Method |
| Paper # | DSP2000-127, ICD2000-120, IE2000-72 |
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| Conference Information | |
| Committee | IE |
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| Conference Date | 2000/10/17(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Image Engineering (IE) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Kernel design of generalized class of discrete-time discrete-frequency time-frequency distributions based on Hybrid steepest descent method |
| Sub Title (in English) | |
| Keyword(1) | Time-frequency analysis |
| Keyword(2) | generalized class |
| Keyword(3) | kernel synthesis |
| Keyword(4) | discrete-time discrete-frequency |
| Keyword(5) | Hybrid Steepest Descent Method |
| 1st Author's Name | Hiroshi HASEGAWA |
| 1st Author's Affiliation | Dept. of Communications & Integrated Systems, Graduate School of Science and Engineering, Tokyo Institute of Technology() |
| 2nd Author's Name | Isao YAMADA |
| 2nd Author's Affiliation | Dept. of Communications & Integrated Systems, Graduate School of Science and Engineering, Tokyo Institute of Technology |
| 3rd Author's Name | Kohichi SAKANIWA |
| 3rd Author's Affiliation | Dept. of Communications & Integrated Systems, Graduate School of Science and Engineering, Tokyo Institute of Technology |
| Date | 2000/10/17 |
| Paper # | DSP2000-127, ICD2000-120, IE2000-72 |
| Volume (vol) | vol.100 |
| Number (no) | 389 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |