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Paper Abstract and Keywords
Presentation 2018-03-08 13:25
Optimality for the Iterative Construction Scheme of AIFV-$m$ codes
Ryusei Fujita, Ken-ichi Iwata (Univ. of Fukui), Hirosuke Yamamoto (The Univ. of Tokyo) IT2017-111 ISEC2017-99 WBS2017-92
Abstract (in Japanese) (See Japanese page) 
(in English) Yamamoto, Tsuchihashi, and Honda proposed binary AIFV (almost instantaneous fixed-to-variable length) codes, which allow at most 2-bit decoding delay. The AIFV codes achieve better or equal compression ratios than ones of Huffman codes. Furthermore, Hu, Yamamoto, and Honda proposed a new class of binary AIFV-$m$ codes consisted of $m$ code trees with at most $m$-bit decoding delay, and they proved the worst-case redundancies of the binary AIFV-$m$ codes are $1/m$ for $m leq 4$. Iwata and Yamamoto proposed an iterative algorithm to obtain the optimal AIFV-$m$ code with $m$ code trees for a given source probability distribution. In this paper, we generalize the optimization problem of AIFV-$m$ code trees to the optimization problem of the average performance of a finite Markov system with $m$-states, which have a unique stationary distribution. Then, we prove that the generalized iterative algorithm can derive the optimal system with $m$-states, and hence, the original iterative algorithm can derive the optimal AIFV-$m$ code.
Keyword (in Japanese) (See Japanese page) 
(in English) noiseless source codes / optimal codes / AIFV codes / AIFV-$m$ codes / finite markov system / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 487, IT2017-111, pp. 49-54, March 2018.
Paper # IT2017-111 
Date of Issue 2018-03-01 (IT, ISEC, WBS) 
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 IT2017-111 ISEC2017-99 WBS2017-92

Conference Information
Committee WBS IT ISEC  
Conference Date 2018-03-08 - 2018-03-09 
Place (in Japanese) (See Japanese page) 
Place (in English) Katsusika Campas, Tokyo University of Science 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To IT 
Conference Code 2018-03-WBS-IT-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Optimality for the Iterative Construction Scheme of AIFV-$m$ codes 
Sub Title (in English)  
Keyword(1) noiseless source codes  
Keyword(2) optimal codes  
Keyword(3) AIFV codes  
Keyword(4) AIFV-$m$ codes  
Keyword(5) finite markov system  
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Keyword(7)  
Keyword(8)  
1st Author's Name Ryusei Fujita  
1st Author's Affiliation University of Fukui (Univ. of Fukui)
2nd Author's Name Ken-ichi Iwata  
2nd Author's Affiliation University of Fukui (Univ. of Fukui)
3rd Author's Name Hirosuke Yamamoto  
3rd Author's Affiliation The University of Tokyo (The Univ. of Tokyo)
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Speaker Author-1 
Date Time 2018-03-08 13:25:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2017-111, ISEC2017-99, WBS2017-92 
Volume (vol) vol.117 
Number (no) no.487(IT), no.488(ISEC), no.489(WBS) 
Page pp.49-54 
#Pages 6 
Date of Issue 2018-03-01 (IT, ISEC, WBS) 

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