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Reseach Article

A Non-Binary Trellis Code Modulation-based Novel Decoding Algorithm

by Riyadh A. Al-hilali, Abdulkareem S. Abdallah, Raad H. Thaher
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 76 - Number 11
Year of Publication: 2013
Authors: Riyadh A. Al-hilali, Abdulkareem S. Abdallah, Raad H. Thaher
10.5120/13288-0430

Riyadh A. Al-hilali, Abdulkareem S. Abdallah, Raad H. Thaher . A Non-Binary Trellis Code Modulation-based Novel Decoding Algorithm. International Journal of Computer Applications. 76, 11 ( August 2013), 1-7. DOI=10.5120/13288-0430

@article{ 10.5120/13288-0430,
author = { Riyadh A. Al-hilali, Abdulkareem S. Abdallah, Raad H. Thaher },
title = { A Non-Binary Trellis Code Modulation-based Novel Decoding Algorithm },
journal = { International Journal of Computer Applications },
issue_date = { August 2013 },
volume = { 76 },
number = { 11 },
month = { August },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-7 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume76/number11/13288-0430/ },
doi = { 10.5120/13288-0430 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:45:36.384624+05:30
%A Riyadh A. Al-hilali
%A Abdulkareem S. Abdallah
%A Raad H. Thaher
%T A Non-Binary Trellis Code Modulation-based Novel Decoding Algorithm
%J International Journal of Computer Applications
%@ 0975-8887
%V 76
%N 11
%P 1-7
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The proposed system deals with Non-binary error control coding of the TCM scheme for transmissions over the AWGN channel. The idea of Non-binary codes has been extended for symbols de?ned over rings of integers, which outperform binary codes with only a small increase in decoding complexity. The basic mathematical concepts are necessary for working with Non-binary error-correcting codes are Groups, Rings and Fields. A new non-binary decoding method, Yaletharatalhussein decoding algorithm, is designed and implemented for decoding non-binary convolutional codes which is based on the trellis diagram representing the convolutional encoder. Yaletharatalhussein decoding algorithm outperforms the Viterbi algorithm and other algorithms in its simplicity, very small computational complexity, and easy to implement with real-time applications. The simulation results show that the performance of the non-binary TCM-based Yaletharatalhussein decoding algorithm outperforms the binary and non-binary decoding methods.

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Index Terms

Computer Science
Information Sciences

Keywords

TCM codes Non-binary error correcting codes Convolutional codes Trellis code modulation