Design of optimized distributed Goppa codes and joint decoding at the destination

Daniel Kariuki Waweru (), Fengfan Yang (), Chunli Zhao (), Lawrence Muthama Paul () and Hongjun Xu ()
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Daniel Kariuki Waweru: Nanjing University of Aeronautics and Astronautics
Fengfan Yang: Nanjing University of Aeronautics and Astronautics
Chunli Zhao: Nanjing University of Aeronautics and Astronautics
Lawrence Muthama Paul: Nanjing University of Aeronautics and Astronautics
Hongjun Xu: University of KwaZulu-Natal

Telecommunication Systems: Modelling, Analysis, Design and Management, 2022, vol. 81, issue 3, No 2, 355 pages

Abstract: Abstract In this paper, we propose a Goppa coded-cooperative (GCC) diversity scheme for a single-relay setting where a source communicates with a destination with the help of a relay in a two-time-slot transmission. Two Goppa codes are distributed over the source and the relay terminals in order to construct a jointly designed channel code at the destination. In the multiple access phase, we consider an optimization design criterion at the relay, which is shown to greatly enhance the Bit Error Rate (BER) performance of the cooperative system. In this way, the source and the relay codes jointly contribute to building the best possible optimized code at the destination. To get the maximum coding gains from this joint construction, a joint decoding scheme is employed at the destination. We investigate the BER performance of the GCC diversity scheme for both the cooperative and non-cooperative schemes over the Rayleigh fading channel. Monte-Carlo simulations show that the proposed GCC scheme significantly outperforms the non-cooperation scheme.

Keywords: Goppa codes; Distributed coding; Optimized relay channel; Joint decoding (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11235-022-00948-5

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