Syndrome-based hybrid ARQ with Reed-Solomon codes and the practice in image transmission over Rayleigh fading channel

Two Reed-Solomon (RS) coded hybrid ARQ schemes based on syndrome calculation are proposed. For poor correction capacity RS code, the retransmission request is determined in the decoding procedure, which we call syndrome-ahead hybrid ARQ. As to powerful RS code, the request arises after decoding. The scheme thus gets the name of syndrome-behind hybrid ARQ. To guarantee the maximal throughput of the system, each retransmission is performed only once. We use analytical framework to evaluate the performance of the two schemes in Rayleigh fading channel. Simulation results are also provided to enhance the conclusion. The two hybrid ARQ scenarios are then applied to compressed image transmission, and the results further prove that the proposed ARQ schemes are powerful and effective to be used for a variety of fading channel applications.