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In this work, we analyze the fundamental performance tradeoff of thesingle-antenna Automatic Retransmission reQuest (ARQ) Z-interference channel(ZIC). Specifically, we characterize the achievable three-dimensional tradeoffbetween diversity (reliability), multiplexing (throughput), and delay (maximumnumber of retransmissions) of two ARQ protocols: A non-cooperative protocol anda cooperative one. Considering no cooperation exists, we study the achievabletradeoff of the fixed-power split Han-Kobayashi (HK) approach. Interestingly,we demonstrate that if the second user transmits the common part only of itsmessage in the event of its successful decoding and a decoding failure at thefirst user, communication is improved over that achieved by keeping or stoppingthe transmission of both the common and private messages. We obtain closed-formexpressions for the achievable tradeoff under the HK splitting. Undercooperation, two special cases of the HK are considered for static and dynamicdecoders. The difference between the two decoders lies in the ability of thelatter to dynamically choose which HK special-case decoding to apply.Cooperation is shown to dramatically increase the achievable first userdiversity.

A Diversity-Multiplexing-Delay Tradeoff of ARQ Protocols in The Z-interference Channel