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Paper Abstract and Keywords
Presentation 2015-01-30 16:10
On Asymptotic Expansion of Random Coding Error Probability under Lattice Condition
Junya Honda (Univ. of Tokyo) IT2014-61
Abstract (in Japanese) (See Japanese page) 
(in English) We consider exact asymptotics of random coding error probability of memoryless channels. We can derive an evaluation of random coding error probability with a vanishing relative gap by applying asymptotic expansion twice to the argument of error exponent. Generally an asymptotic expansion of empirical means of random variables requires to consider two cases that each random variable is distributed on lattice points or not separately and the form of expansion becomes a little complicated for the former case. In particular, the former case makes the analysis much complicated for the first asymptotic expansion involving error probability of each codeword since we cannot ignore the case that likelihoods of the sent codeword and other codewords become the same in this case. In this paper we consider this lattice case in the first asymptotic expansion and derive a tight bound on the random coding error probability for this case.
Keyword (in Japanese) (See Japanese page) 
(in English) channel coding / random codes / error exponent / asymptotic expansion / / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 438, IT2014-61, pp. 41-46, Jan. 2015.
Paper # IT2014-61 
Date of Issue 2015-01-23 (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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Conference Information
Committee IT  
Conference Date 2015-01-30 - 2015-01-30 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English) general 
Paper Information
Registration To IT 
Conference Code 2015-01-IT 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On Asymptotic Expansion of Random Coding Error Probability under Lattice Condition 
Sub Title (in English)  
Keyword(1) channel coding  
Keyword(2) random codes  
Keyword(3) error exponent  
Keyword(4) asymptotic expansion  
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1st Author's Name Junya Honda  
1st Author's Affiliation The University of Tokyo (Univ. of Tokyo)
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Speaker Author-1 
Date Time 2015-01-30 16:10:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2014-61 
Volume (vol) vol.114 
Number (no) no.438 
Page pp.41-46 
#Pages 6 
Date of Issue 2015-01-23 (IT) 

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