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Throughput Analysis of Hybrid-ARQ -A Matrix Exponential Distribution Approach
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0002-6026-322X
KTH, School of Electrical Engineering (EES), Communication Theory.ORCID iD: 0000-0001-7182-9543
KTH, School of Electrical Engineering (EES), Communication Theory.ORCID iD: 0000-0002-7926-5081
2016 (English)In: IEEE Transactions on Communications, ISSN 0090-6778, E-ISSN 1558-0857, Vol. 64, no 1, p. 416-428Article in journal (Refereed) Published
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Abstract [en]

We propose a novel performance analysis framework for lossless- and truncated-hybrid automatic repeat request (HARQ) that enables neat, general, closed-form throughput expressions in a matrix exponential (ME) distribution form. This approach is applicable to all HARQ schemes for which the probability density function of the effective channel can be characterized by a rational Laplace transform, or equivalently, an ME-distribution. This includes, for example, repetition redundancy HARQ in ME distributed channels. Throughput expressions are also given for the K-truncated-HARQ N-fold diversity, ARQ N-fold diversity, and lossless-HARQ 2-fold diversity cases in the ME distributed channel. Schemes with effective channels of non-rational Laplace transforms, such as IR-HARQ, are explored using truncated continued fractions. A novel integration trick is developed for the integration of ME distributions with singular matrices and yields the simple throughput expression of lossless-HARQ. We also give general analytical expressions for the optimal throughput and optimal rate point that benefit from the compact ME-distribution form proposed.

Place, publisher, year, edition, pages
IEEE Press, 2016. Vol. 64, no 1, p. 416-428
Keywords [en]
Hybrid-ARQ (HARQ), lossless-HARQ, truncated-HARQ, retransmission, repetition redundancy, chase combining, incremental redundancy, ARQ, throughput, matrix exponential distribution, rational Laplace transform, performance optimization
National Category
Communication Systems
Identifiers
URN: urn:nbn:se:kth:diva-182166DOI: 10.1109/TCOMM.2015.2501294ISI: 000368353700036Scopus ID: 2-s2.0-84958149474OAI: oai:DiVA.org:kth-182166DiVA, id: diva2:904102
Note

QC 20160218

Available from: 2016-02-18 Created: 2016-02-16 Last updated: 2017-11-30Bibliographically approved

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Rasmussen, Lars KildehojSkoglund, Mikael

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