Effective Capacity for Renewal Service Processes with Applications to HARQ Systems

Zheng Shi, Theodoros A. Tsiftsis, Weiqiang Tan, Guanghua Yang, Shaodan Ma, Mohamed-Slim Alouini

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Considering the widespread use of effective capacity in cross-layer design and the extensive existence of renewal service processes in communication networks, this paper thoroughly investigates the effective capacity for renewal processes. Exact expressions of the effective capacity at a given quality of service (QoS) exponent are derived for the renewal processes with either constant or variable reward. The simple expressions reveal meaningful insights, such as the monotonicity and bounds of the effective capacity. The analytical results are then applied to evaluate the cross-layer throughput for diverse hybrid automatic repeat request (HARQ) systems, including fixed-rate HARQ (FR-HARQ, e.g., Type I HARQ, HARQ with chase combining (HARQ-CC) and HARQ with incremental redundancy (HARQ-IR)), variable-rate HARQ (VR-HARQ) and cross-packet HARQ (XP-HARQ). Furthermore, aiming at maximizing the effective capacity via the optimal rate selection, it is disclosed that VR-HARQ and XP-HARQ attain almost the same performance, and both of them perform better than FR-HARQ. In contrast, most of the prior outcomes approximate the effective capacity with the lack of insightful discussions that hampers the optimal design of HARQ systems. Finally, numerical results corroborate the analytical ones.
Original languageEnglish (US)
Pages (from-to)6556-6571
Number of pages16
JournalIEEE Transactions on Communications
Issue number9
StatePublished - 2019

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was supported in part by the National Key Research and Development Program of China under Grant 2017YFE0120600, in part by National Natural Science Foundation of China under Grants 61801192, 61601524 and 61801132, in part by the Science and Technology Planning Project of Guangdong Province under Grant 2018B010114002, in part by the Macau Science and Technology Development
Fund under Grant 091/2015/A3, in part by the Natural Science Foundation of Guangdong Province of China under Grant 2018A030310338, in part by the Project of Educational Commission of Guangdong Province of China under Grant 2017KQNCX155, and in part by the Research Committee of University of Macau under Grant MYRG2018-00156-FST.


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