4 citations · 7 across the 6 of their papers we have counts for
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Characteristic Generators and Dualization for Tail-Biting Trellises
Heide Gluesing-Luerssen, Elizabeth A. Weaver
This paper focuses on dualizing tail-biting trellises, particularly KV-trellises. These trellises are based on characteristic generators, as introduced by Koetter/Vardy (2003), and…
Algebraic Decoding for Doubly Cyclic Convolutional Codes
H. Gluesing-Luerssen, U. Helmke, J. I. Iglesias Curto
An iterative decoding algorithm for convolutional codes is presented. It successively processes consecutive blocks of the received word in order to decode the first block. A bo…
On Isometries for Convolutional Codes
Heide Gluesing-Luerssen
In this paper we will discuss isometries and strong isometries for convolutional codes. Isometries are weight-preserving module isomorphisms whereas strong isometries are, in addit…
A MacWilliams Identity for Convolutional Codes: The General Case
Heide Gluesing-Luerssen, Gert Schneider
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 c…
A Matrix Ring Description for Cyclic Convolutional Codes
Heide Gluesing-Luerssen, Fai-Lung Tsang
In this paper, we study convolutional codes with a specific cyclic structure. By definition, these codes are left ideals in a certain skew polynomial ring. Using that the skew poly…
State Space Realizations and Monomial Equivalence for Convolutional Codes
Heide Gluesing-Luerssen, Gert Schneider
We will study convolutional codes with the help of state space realizations. It will be shown that two such minimal realizations belong to the same code if and only if they are equ…