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Separation of Recursive Convolutional Codes into Sub-Codes using Galois Field Arithmetic

Authors:
Thorsten Clevorn, Birgit Schotsch, Laurent Schmalen, Peter Vary, and Marc Adrat
Book Title:
Proceedings of Conference on Information Sciences and Systems (CISS)
Venue:
Princeton, NJ, USA
Date:
Mar. 2006
Language:
English

Abstract

In this paper a novel interpretation of encoding and decoding of recursive convolutional codes is presented. By means of Galois field arithmetic a code is separated into sub-codes with a single delay operator. One of these simple sub-codes is sufficient for encoding and decoding with the equivalent Trellis diagram. This paper is not targeted at performance improvements but at new insights for the analysis of recursive convolutional codes resulting in novel, possibly less complex approaches for their implementation, e.g., on a chip.

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