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This paper investigates the performance of wireless systems that employfinite-blocklength channel codes for transmission and operate under queueingconstraints in the form of limitations on buffer overflow probabilities. Ablock fading model, in which fading stays constant in each coherence block andchange independently between blocks, is considered. It is assumed that channelcoding is performed over multiple coherence blocks. An approximate lower boundon the transmission rate is obtained from Feintein's Lemma. This lower bound isconsidered as the service rate and is incorporated into the effective capacityformulation, which characterizes the maximum constant arrival rate that can besupported under statistical queuing constraints. Performances of variable-rateand fixed-rate transmissions are studied. The optimum error probability forvariable rate transmission and the optimum coding rate for fixed ratetransmission are shown to be unique. Moreover, the tradeoff between thethroughput and the number of blocks over which channel coding is performed isidentified.

Channel Coding over Multiple Coherence Blocks with Queueing Constraints