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A new piecewise linear modification to log-map turbo decoding algorithm: comparative analysis, numerical estimations, and simulation
Author(s): Roman N. Kvetny; Yuriy Yu. Ivanov; Anatoliy Ia. Kulyk; Daniel Sawicki; Nurbapa Mekebayev
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Paper Abstract

In this article, we discuss an extensive class of channel codes called turbo codes. These error correction methods will achieve very good results in terms of error rates, which may be close to the bandwidth limit of the Shannon channel. The article begins with a brief discussion on the coding of the turbo, and then describes the form of the iterative decoder most often used to decode the turbo codes. This article proposes a new optimal modification of the log-MAP-log decoding algorithm. This method (PL-log-MAP) is based on a partial linear approximation of the correction function in the Jacobean logarithm. Using the proposed approximation, the complex functions of ln (.) I exp (.) In the log-MAP algorithm can be estimated with high accuracy and lower computational complexity. The effectiveness of the proposed approximation is tested and demonstrated by applying it to the digital communication system for transmission images in MatLab. It seems that the performance of the PL-log-MAP algorithm has the closest efficiency to the original log-MAP solution.

Paper Details

Date Published: 1 October 2018
PDF: 13 pages
Proc. SPIE 10808, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018, 1080826 (1 October 2018); doi: 10.1117/12.2501540
Show Author Affiliations
Roman N. Kvetny, Vinnytsia National Technical Univ. (Ukraine)
Yuriy Yu. Ivanov, Vinnytsia National Technical Univ. (Ukraine)
Anatoliy Ia. Kulyk, Vinnytsia National Technical Univ. (Ukraine)
Daniel Sawicki, Lublin Univ. of Technology (Poland)
Nurbapa Mekebayev, Al-Farabi Kazakh National Univ. (Kazakhstan)


Published in SPIE Proceedings Vol. 10808:
Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018
Ryszard S. Romaniuk; Maciej Linczuk, Editor(s)

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