The design and implementation of type-I and type-II hybrid-ARQ protocols based on first-order Reed-Muller codes

It is shown that the Green machine decoder can be modified to allow for the use of first-order Reed-Muller codes in both type-I and type-II hybrid-ARQ protocols. The type-I protocols offer substantially better reliability performance than their FEC counterparts, though at the expense of a reduction in throughput at low SNR. The type-II protocols offer similar reliability performance to that provided by the the type-I protocols, but offer much better throughput performance at low SNR. Both the type-I and type-II protocols are obtained though minor modifications of the Green machine that do not appreciably increase the complexity or decrease the speed of the decoder