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Paper Abstract and Keywords
Presentation 2017-09-08 15:15
Cardinality of Typical Set and the Smallest High Probability Set for Discrete Memoryless Sources and Markov Sources
Munenori Eto, Masanori Kawakita, Jun'ichi Takeuchi (Kyushu Univ.) IT2017-48
Abstract (in Japanese) (See Japanese page) 
(in English) Cardinality of typical sets and tha smallest high probability sets
for discrete memoryless sources and statically Markov sources
are considered.
Usually, its width is fixed in the definition of both sets, but
sometimes it is assumed that the width converges to zero as the length
of sequence $n$ goes to infinity.
In such setting, some condition for the width is necessary to make the cardinality
near $2^{nH}$, where $H$ denotes the entropy rate of the information source.
In this article, we give sufficient conditions for the above proposition.
We also show a sufficient condition for that it doesn't hold for DMS.
Keyword (in Japanese) (See Japanese page) 
(in English) Typical set / The smallest high probabiltiy set / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 208, IT2017-48, pp. 55-60, Sept. 2017.
Paper # IT2017-48 
Date of Issue 2017-09-01 (IT) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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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)
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Conference Information
Committee IT  
Conference Date 2017-09-08 - 2017-09-08 
Place (in Japanese) (See Japanese page) 
Place (in English) Centcore Yamaguchi Hotel 
Topics (in Japanese) (See Japanese page) 
Topics (in English) error correcting codes, general 
Paper Information
Registration To IT 
Conference Code 2017-09-IT 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Cardinality of Typical Set and the Smallest High Probability Set for Discrete Memoryless Sources and Markov Sources 
Sub Title (in English)  
Keyword(1) Typical set  
Keyword(2) The smallest high probabiltiy set  
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1st Author's Name Munenori Eto  
1st Author's Affiliation Kyushu University (Kyushu Univ.)
2nd Author's Name Masanori Kawakita  
2nd Author's Affiliation Kyushu University (Kyushu Univ.)
3rd Author's Name Jun'ichi Takeuchi  
3rd Author's Affiliation Kyushu University (Kyushu Univ.)
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Speaker Author-1 
Date Time 2017-09-08 15:15:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2017-48 
Volume (vol) vol.117 
Number (no) no.208 
Page pp.55-60 
#Pages
Date of Issue 2017-09-01 (IT) 


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