Optimal strategies for dynamic joint source-channel coding with feedback

The optimal strategy for dynamic joint source-channel coding with feedback was recently shown to be a simple mapping between the source symbols and channel inputs, where the mapping only depends on the decoder´s posterior belief about the source. In this work, we derive the optimal joint source-channel coding strategies for two specific channels - binary erasure channels and Z-channels. It is found that the mappings required for the optimal strategies and the way they are used vary significantly with the channel cost of transmission.