Optimized distributed Goppa codes based on spatial modulation

The distributed Goppa coded spatial modulation (DGC‐SM) scheme is proposed in cooperative scenarios. In the proposed DGC‐SM scheme, the relay chooses the partial information from the source by using the idea of information selection, and then re‐encodes the selected information. At the destination,...

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Bibliographic Details
Published in:IET communications Vol. 17; no. 13; pp. 1447 - 1464
Main Authors: Zhao, Chunli, Yang, Fengfan, Waweru, Daniel Kariuki, Chen, Chen, Xu, Hongjun
Format: Journal Article
Language:English
Published: Stevenage John Wiley & Sons, Inc 01.08.2023
Subjects:
Algorithms
Bit error rate
Block codes
Codes
Communications systems
Complexity
Cooperation
cooperative communication
Decoding
Goppa codes
MIMO communication
Modulation
Relay
Sequences
Simulation
ISSN:1751-8628, 1751-8636
Online Access:Get full text
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Summary:The distributed Goppa coded spatial modulation (DGC‐SM) scheme is proposed in cooperative scenarios. In the proposed DGC‐SM scheme, the relay chooses the partial information from the source by using the idea of information selection, and then re‐encodes the selected information. At the destination, a distributed Goppa code is obtained corresponding to each selection. In order to get the best possible code, an optimal information selection algorithm is proposed at the relay. In the proposed optimal algorithm, all selections and source message sequences are considered, which results in high complexity. Thus, another optimized information selection algorithm with low complexity is proposed at the relay. To further enhance the capability to get the source information, two efficient joint decoding algorithms called smart decoding algorithm and improved smart decoding algorithm are proposed. Moreover, the bit error rate (BER) performance bound of the proposed DGC‐SM scheme is derived. Through the simulations, the effectiveness of the proposed two optimized information selection algorithms is confirmed. Also, it is observed that the simulation and analytical results closely match at high signal‐to‐noise ratio (SNR). The distributed Goppa coded spatial modulation (DGC‐SM) scheme is proposed in cooperative scenarios. Two optimized information selection algorithms are proposed to construct an optimized code at the destination. Furthermore, two joint decoding algorithms are proposed to efficiently recover the source information.
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ISSN:1751-8628
1751-8636
DOI:10.1049/cmu2.12634