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Nested convolutional codes and their application to woven codes

Jordan, R; Johannesson, Rolf LU and Bossert, M (2004) In IEEE Transactions on Information Theory 50(2). p.380-384
Abstract
Nested convolutional codes are a set of convolutional codes that is derived from a given generator matrix. The structural properties of nested convolutional codes and nested generator matrices are studied. A method to construct the set of all minimal (rational) generator matrices of a given convolutional code is presented. As an example, two different sets of nested convolutional codes are derived from two equivalent minimal generator matrices. The significant difference in their free-distance profiles emphasizes the importance of being careful when selecting the generator matrices that determine the nested convolutional codes. As an application of nested convolutional codes, woven codes with outer warp, and inner nested convolutional... (More)
Nested convolutional codes are a set of convolutional codes that is derived from a given generator matrix. The structural properties of nested convolutional codes and nested generator matrices are studied. A method to construct the set of all minimal (rational) generator matrices of a given convolutional code is presented. As an example, two different sets of nested convolutional codes are derived from two equivalent minimal generator matrices. The significant difference in their free-distance profiles emphasizes the importance of being careful when selecting the generator matrices that determine the nested convolutional codes. As an application of nested convolutional codes, woven codes with outer warp, and inner nested convolutional codes are considered. The free-distance profile of the inner generator matrix is shown to be an important design tool. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
woven convolutional code, convolutional code, nested, minimal generator matrix, free distance
in
IEEE Transactions on Information Theory
volume
50
issue
2
pages
380 - 384
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000188949100016
  • scopus:10744226418
ISSN
0018-9448
DOI
10.1109/TIT.2003.822612
language
English
LU publication?
yes
id
ad7799c1-444e-4d92-a57c-6476489dadf6 (old id 287115)
date added to LUP
2007-10-23 13:56:20
date last changed
2017-05-21 04:29:37
@article{ad7799c1-444e-4d92-a57c-6476489dadf6,
  abstract     = {Nested convolutional codes are a set of convolutional codes that is derived from a given generator matrix. The structural properties of nested convolutional codes and nested generator matrices are studied. A method to construct the set of all minimal (rational) generator matrices of a given convolutional code is presented. As an example, two different sets of nested convolutional codes are derived from two equivalent minimal generator matrices. The significant difference in their free-distance profiles emphasizes the importance of being careful when selecting the generator matrices that determine the nested convolutional codes. As an application of nested convolutional codes, woven codes with outer warp, and inner nested convolutional codes are considered. The free-distance profile of the inner generator matrix is shown to be an important design tool.},
  author       = {Jordan, R and Johannesson, Rolf and Bossert, M},
  issn         = {0018-9448},
  keyword      = {woven convolutional code,convolutional code,nested,minimal generator matrix,free distance},
  language     = {eng},
  number       = {2},
  pages        = {380--384},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Information Theory},
  title        = {Nested convolutional codes and their application to woven codes},
  url          = {http://dx.doi.org/10.1109/TIT.2003.822612},
  volume       = {50},
  year         = {2004},
}