| Presentation | 2011-06-30 A Sampling Theorem for Periodic Piecewise Polynomials Using Sinc Kernel Akira HIRABAYASHI, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We address a problem of sampling and reconstructing periodic piecewise polynomials based on the theory for signals with a finite rate of innovation (FRI signals) from samples acquired by a sinc kernel. This problem was discussed in a previous paper. There was, however, an error in a condition about the sinc kernel. Further, the reconstruction procedure for the signals was not shown even though the procedure is not trivial. Hence, in this paper, we provide a correct condition for the sinc kernel and show the procedure. The point is that, though a periodic piecewise polynomial of degree R is defined as a signal mapped to a periodic stream of differentiated Diracs by R+1 time differentiation, the mapping is not one-to-one. Therefore, to recover the stream is not sufficient to reconstruct the original signal. To solve this problem, we use the average of the target signal, which is available because of the sinc sampling. Simulation results show the correctness of our reconstruction procedure. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Piecewise polynomials / stream of Diracs / finite rate of innovation(FRI) signals / annihilating filter |
| Paper # | CAS2011-16,VLD2011-23,SIP2011-45,MSS2011-16 |
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| Conference Information | |
| Committee | MSS |
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| Conference Date | 2011/6/23(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Mathematical Systems Science and its applications(MSS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Sampling Theorem for Periodic Piecewise Polynomials Using Sinc Kernel |
| Sub Title (in English) | |
| Keyword(1) | Piecewise polynomials |
| Keyword(2) | stream of Diracs |
| Keyword(3) | finite rate of innovation(FRI) signals |
| Keyword(4) | annihilating filter |
| 1st Author's Name | Akira HIRABAYASHI |
| 1st Author's Affiliation | Graduate School of Medicine, Yamaguchi University() |
| Date | 2011-06-30 |
| Paper # | CAS2011-16,VLD2011-23,SIP2011-45,MSS2011-16 |
| Volume (vol) | vol.111 |
| Number (no) | 105 |
| Page | pp.pp.- |
| #Pages | 6 |
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