Analysis and Design of Analog Fountain Codes for Short Packet Communications

In this paper, we focus on the design and analysis of Analog Fountain Code (AFC) for short packet communications. We first propose a density evolution (DE) based framework, which tracks probability function messages exchanged between variable check nodes AFC in belief propagation decoder. Using proposed DE formulate an optimisation problem to find optimal code parameters, including weight-set, minimises bit error rate at given signal-to-noise ratio (SNR). Our results show superiority our compared existing designs literature thus validity framework asymptotically long block length regime. then selecting precoder improve performance lengths. Simulation that lower precode rates obtain better realised over wide SNR range information also discuss complexity decoder threshold-based reduce complexity.