Abstract
A MacWilliams Identity for convolutional codes will be established. It makes use of the weight adjacency matrices of the code and its dual, based on state space realizations (the controller canonical form) of the codes in question. The MacWilliams Identity applies to various notions of duality appearing in the literature on convolutional coding theory.
| Original language | English |
|---|---|
| Pages (from-to) | 2920-2930 |
| Number of pages | 11 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 55 |
| Issue number | 7 |
| DOIs | |
| State | Published - 2009 |
Keywords
- Controller canonical form
- Convolutional codes
- MacWilliams identity
- Weight adjacency matrix
- Weight distribution
ASJC Scopus subject areas
- Information Systems
- Computer Science Applications
- Library and Information Sciences