| Presentation | 2007-07-27 Sampling theorems for periodic functions and interpolation formulae for sampled data Samon OIE, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A sampling theorem in the time domain for band limited periodic functions is proved. It states that a band limited periodic function can be uniquely determined from the sampled data of finite number within unit period in the time domain. The interpolation function has different forms according to the cases where the data number within unit period is even or odd. The corresponding sampling theorem in the frequency domain is also given. It states that the periodic spectral function of a temporally localized function can be uniquely determined from the sampled spectral data of finite number within unit period in the frequency domain. In this case, the form of the interpolation function is independent of the cases where the data number within unit period is even of odd. These results are extended to multi-dimensional cases. Futhermore, differentiation formulae of any order for the interpolation formulae are given. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Sampling Theorem / Periodic Function / Interpolation Formula / (Partial) Derivative / Delay Time / Group Delay Time |
| Paper # | EA2007-36 |
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| Conference Information | |
| Committee | EA |
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| Conference Date | 2007/7/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Engineering Acoustics (EA) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Sampling theorems for periodic functions and interpolation formulae for sampled data |
| Sub Title (in English) | |
| Keyword(1) | Sampling Theorem |
| Keyword(2) | Periodic Function |
| Keyword(3) | Interpolation Formula |
| Keyword(4) | (Partial) Derivative |
| Keyword(5) | Delay Time |
| Keyword(6) | Group Delay Time |
| 1st Author's Name | Samon OIE |
| 1st Author's Affiliation | SV Development Center, Ono Sokki Co. Ltd.() |
| Date | 2007-07-27 |
| Paper # | EA2007-36 |
| Volume (vol) | vol.107 |
| Number (no) | 170 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |