MacWilliams identities for terminated convolutional codes
Name
Forney-MacWilliams identities.pdf
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121.36 KB
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Author(s)
Forney, G. David, Jr.
Date Issued
June 2010
Journal
2010 IEEE International Symposium on Information Theory Proceedings (ISIT)
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Forney, G. David. “MacWilliams Identities for Terminated Convolutional Codes.” 2010 IEEE International Symposium on Information Theory Proceedings (ISIT). 1105–1109. © Copyright 2010 IEEE
Version
Final published version
Abstract
Shearer and McEliece showed that there is no MacWilliams identity for the free distance spectra of orthogonal linear convolutional codes. We show that on the other hand there does exist a MacWilliams identity between the generating functions of the weight distributions per unit time of a linear convolutional code C and its orthogonal code C[superscript ⊥], and that this distribution is as useful as the free distance spectrum for estimating code performance. These observations are similar to those made recently by Bocharova et al.; however, we focus on terminating by tail-biting rather than by truncation.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1109/ISIT.2010.5513699
