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Maximum slope convolutional codes

Jordan, R ; Pavlushkov, Victor LU and Zyablov, VV (2004) In IEEE Transactions on Information Theory 50(10). p.2511-2522
Abstract
The slope is an important distance parameter for a convolutional code. It can be used to obtain a lower bound on the active burst distance and in this respect essentially determines the error-correcting capability of the code. An upper bound on the slope of rate R = b/c convolutional codes is derived. A new family of convolutional codes, called the maximum slope (MS) code family, is introduced. Tables for rate R = 1/2 MS codes with memory 1 less than or equal to m less than or equal to 6 are presented. Additionally, some new rate R = (c - 1) / c, 3 less than or equal to -c less than or equal to 6, punctured convolutional codes with rate R = 1/2 optimum free distance (OFD) and MS mother codes are presented. Simulation results for the bit... (More)
The slope is an important distance parameter for a convolutional code. It can be used to obtain a lower bound on the active burst distance and in this respect essentially determines the error-correcting capability of the code. An upper bound on the slope of rate R = b/c convolutional codes is derived. A new family of convolutional codes, called the maximum slope (MS) code family, is introduced. Tables for rate R = 1/2 MS codes with memory 1 less than or equal to m less than or equal to 6 are presented. Additionally, some new rate R = (c - 1) / c, 3 less than or equal to -c less than or equal to 6, punctured convolutional codes with rate R = 1/2 optimum free distance (OFD) and MS mother codes are presented. Simulation results for the bit error performance of serially concatenated turbo codes with MS component codes are presented. (Less)
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
free distance, active distance, convolutional code, slope
in
IEEE Transactions on Information Theory
volume
50
issue
10
pages
2511 - 2522
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000224067600029
  • scopus:5144226377
ISSN
0018-9448
DOI
10.1109/TIT.2004.834780
language
English
LU publication?
yes
id
7ee172be-8348-4e23-a133-c4bbf8ee7cea (old id 266400)
date added to LUP
2016-04-01 15:43:55
date last changed
2022-02-12 17:22:25
@article{7ee172be-8348-4e23-a133-c4bbf8ee7cea,
  abstract     = {{The slope is an important distance parameter for a convolutional code. It can be used to obtain a lower bound on the active burst distance and in this respect essentially determines the error-correcting capability of the code. An upper bound on the slope of rate R = b/c convolutional codes is derived. A new family of convolutional codes, called the maximum slope (MS) code family, is introduced. Tables for rate R = 1/2 MS codes with memory 1 less than or equal to m less than or equal to 6 are presented. Additionally, some new rate R = (c - 1) / c, 3 less than or equal to -c less than or equal to 6, punctured convolutional codes with rate R = 1/2 optimum free distance (OFD) and MS mother codes are presented. Simulation results for the bit error performance of serially concatenated turbo codes with MS component codes are presented.}},
  author       = {{Jordan, R and Pavlushkov, Victor and Zyablov, VV}},
  issn         = {{0018-9448}},
  keywords     = {{free distance; active distance; convolutional code; slope}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{2511--2522}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Information Theory}},
  title        = {{Maximum slope convolutional codes}},
  url          = {{http://dx.doi.org/10.1109/TIT.2004.834780}},
  doi          = {{10.1109/TIT.2004.834780}},
  volume       = {{50}},
  year         = {{2004}},
}