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| Paper Abstract and Keywords | ||
| Presentation | 2011-06-30 17:15 A sampling theorem for periodic piecewise polynomials using sinc kernel Akira Hirabayashi (Yamaguchi Univ.)  CAS2011-16 VLD2011-23 SIP2011-45 MSS2011-16 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (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. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Piecewise polynomials / stream of Diracs / FRI signals / annihilating filter / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 111, no. 104, SIP2011-45, pp. 91-96, June 2011. | |
| Paper # | SIP2011-45 | |
| Date of Issue | 2011-06-23 (CAS, VLD, SIP, MSS) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | CAS2011-16 VLD2011-23 SIP2011-45 MSS2011-16 |
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| Conference Information | |
| Committee | MSS CAS VLD SIP |
| Conference Date | 2011-06-30 - 2011-07-01 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Okinawa-Ken-Seinen-Kaikan |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | SIP |
| Conference Code | 2011-06-MSS-CAS-VLD-SIP |
| Language | Japanese |
| 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) | FRI signals |
| Keyword(4) | annihilating filter |
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| 1st Author's Name | Akira Hirabayashi |
| 1st Author's Affiliation | Yamaguchi University (Yamaguchi Univ.) |
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| Speaker | Author-1 |
| Date Time | 2011-06-30 17:15:00 |
| Presentation Time | 20 minutes |
| Registration for | SIP |
| Paper # | CAS2011-16, VLD2011-23, SIP2011-45, MSS2011-16 |
| Volume (vol) | vol.111 |
| Number (no) | no.102(CAS), no.103(VLD), no.104(SIP), no.105(MSS) |
| Page | pp.91-96 |
| #Pages | 6 |
| Date of Issue | 2011-06-23 (CAS, VLD, SIP, MSS) |
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