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

• Published in: 2006 40th Annual Conference on Information Sciences and Systems p. 245
• Main Authors: Clevom, T., Schotsch, B., Schmalen, L., Vary, P., Adrat, M.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01-03-2006
• Subjects: Arithmetic; Convolutional codes; Decoding; Delay; Encoding; Filters; Galois fields; Memory management; Performance analysis; Polynomials
• ISBN: 9781424403493; 1424403499
• DOI: 10.1109/CISS.2006.286471

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 a new insights for the analysis of recursive convolutional codes resulting in novel, possibly less complex approaches for their implementation, e.g., on a chip.