Paper Abstract and Keywords |
Presentation |
2019-03-07 15:05
Innovations, σ-Fields, and Martingales Associated with Viterbi Decoding of Convolutional Codes Masato Tajima IT2018-98 ISEC2018-104 WBS2018-99 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In the previous paper, by comparing with the results in the linear filtering theory, we have introduced the notion of innovations for Viterbi decoding of convolutional codes. In this paper, we discuss a problem of extracting innovations/martingales from the input to an SST Viterbi decoder and the input to the corresponding main decoder from the viewpoint of stochastic processes. We see that increasing families of sigma-fields (i.e., filtrations) associated with the information available from knowledge of the observations play an essential role. It is shown that whether the composite of the information and related observations forms a system of Gaussian random variables is crucial to our discussion. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
linear filtering theory / innovation / sigma-field / martingale / Gaussian random variables / / / |
Reference Info. |
IEICE Tech. Rep., vol. 118, no. 477, IT2018-98, pp. 137-142, March 2019. |
Paper # |
IT2018-98 |
Date of Issue |
2019-02-28 (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) |
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IT2018-98 ISEC2018-104 WBS2018-99 |
Conference Information |
Committee |
IT ISEC WBS |
Conference Date |
2019-03-07 - 2019-03-08 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
University of Electro-Communications |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
joint meeting of IT, ISEC, and WBS |
Paper Information |
Registration To |
IT |
Conference Code |
2019-03-IT-ISEC-WBS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Innovations, σ-Fields, and Martingales Associated with Viterbi Decoding of Convolutional Codes |
Sub Title (in English) |
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linear filtering theory |
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innovation |
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sigma-field |
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martingale |
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Gaussian random variables |
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1st Author's Name |
Masato Tajima |
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Speaker |
Author-1 |
Date Time |
2019-03-07 15:05:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2018-98, ISEC2018-104, WBS2018-99 |
Volume (vol) |
vol.118 |
Number (no) |
no.477(IT), no.478(ISEC), no.479(WBS) |
Page |
pp.137-142 |
#Pages |
6 |
Date of Issue |
2019-02-28 (IT, ISEC, WBS) |
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