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Nested convolutional codes and their application to woven codes

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Author

Summary, in English

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.

Publishing year

2004

Language

English

Pages

380-384

Publication/Series

IEEE Transactions on Information Theory

Volume

50

Issue

2

Document type

Journal article

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering

Keywords

  • woven convolutional code
  • convolutional code
  • nested
  • minimal generator matrix
  • free distance

Status

Published

ISBN/ISSN/Other

  • ISSN: 0018-9448