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 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) |
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IT2017-48 |
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) |
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Typical set |
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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 |
6 |
Date of Issue |
2017-09-01 (IT) |
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