Convolutional coding for code multiplexing of channels

Saint-Petersburg State University of Aerospace Instrumentation (SUAI), ul. Bolshaya Morskaya, 67, lit. A, St. Petersburg, 190000, Russia

^* Corresponding author: alexey.rabin@gmail.com

Published online: 17 February 2025

Abstract

This paper explores the application of convolutional codes and their extensions in the context of binary channel code division. A novel method for channel division utilizing convolutional coding is presented, alongside a comparative analysis with block coding techniques. While the approach for implementing convolutional codes in channel division shares similarities with block coding methods, it possesses distinct characteristics. The study introduces the use of elements from the field of formal power Laurent series, with coefficients drawn from a finite field, as components of both the transmitted message and code word. This innovative approach enhances the flexibility and efficiency of the coding process. Furthermore, the research investigates the feasibility and conditions for simultaneous error correction during the code division of channels. This dual functionality has the potential to significantly improve the reliability and performance of communication systems. By examining these advanced coding techniques, the paper contributes to the ongoing development of more robust and efficient channel division methods in digital communications.