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| Presentation | 2015-07-13 11:15 An Improvement on the Almost Sure Convergence Coding Theorems of One-shot and Multi-shot Tunstall Codes Mitsuharu Arimura (Shonan Inst. Tech.)  IT2015-20 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Almost sure convergence coding theorem have been proved for one-shot and multi-shot Tunstall codes. In the theorems, it is assumed that the leaf set size or geometric mean of leaf set sizes increases in the exponential order. This paper improves this result by showing the almost sure convergence coding theorem under the assumption that the leaf set size or geometric mean of leaf set sizes increases in the linear order. This result can be applied to the incremental multi-shot Tunstall algorithm which extends the Tunstall tree in one step at each parsing. We clarify that the coding theorem of one-shot Tunstall code cannot be obtained as a corollary of the coding theorem of multi-shot Tunstall code. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | lossless source coding / VF code / stationary memoryless source / almost sure convergence coding theorem / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 115, no. 137, IT2015-20, pp. 17-22, July 2015. | |
| Paper # | IT2015-20 | |
| Date of Issue | 2015-07-06 (IT) | |
| 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 | IT2015-20 |
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| Conference Information | |
| Committee | IT |
| Conference Date | 2015-07-13 - 2015-07-14 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Tokyo Institute of Technology |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | freshman session, general |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2015-07-IT |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Improvement on the Almost Sure Convergence Coding Theorems of One-shot and Multi-shot Tunstall Codes |
| Sub Title (in English) | |
| Keyword(1) | lossless source coding |
| Keyword(2) | VF code |
| Keyword(3) | stationary memoryless source |
| Keyword(4) | almost sure convergence coding theorem |
| Keyword(5) | |
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| 1st Author's Name | Mitsuharu Arimura |
| 1st Author's Affiliation | Shannon Institute of Technology (Shonan Inst. Tech.) |
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| Speaker | Author-1 |
| Date Time | 2015-07-13 11:15:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2015-20 |
| Volume (vol) | vol.115 |
| Number (no) | no.137 |
| Page | pp.17-22 |
| #Pages | 6 |
| Date of Issue | 2015-07-06 (IT) |
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