Low Density Generator Matrix (LDGM)-based Raptor codes for single carrier Internet of Things (SC-IoT)

In this paper, we consider channel coding scheme for single carrier Internet of Things (SC-IoT). We propose new Raptor codes for SC-IoT devices with new degree distributions suitable for single carrier transmission to provide long term battery life services. In the proposed Raptor codes, Low Density Generator Matrix (LDGM) codes are used as the precode, called LDGM-Raptor codes. The codes are optimally designed using extrinsic information transfer (EXIT) chart in order to meet the requirement of SC-IoT providing low bit-error rate (BER). We found that although LDGM-Raptor codes is simple, the performances of codes are good enough with turbo-cliff closes to the Shannon capacity limit of channels.