Abstract

Systematic wireless network coding has been proposed as a potential solution to solve the major drawback of high encoding/decoding complexities of random linear network coding and to increase the decoding capability. However, the complete analysis of the decoding performance has not been fully derived. In this Letter, the authors derive closed-form expressions for the decoding probability under systematic network coding (SNC) over single-hop and multi-hop wireless networks. They validate the analysis by comparing simulation results. Their formulation provides a theoretical analysis for further understanding of the SNC and can be used to improve the current upper bound for the decoding probability.

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