Inverse Moment Matching Based Analysis of Cooperative HARQ-IR over Time-Correlated Nakagami Fading Channels

Shi, Zheng; Ding, Haichuan; Ma, Shaodan; Tam, Kam‐Weng; Su, Pan

doi:10.1109/tvt.2016.2599267

Cited by 12 publications

(19 citation statements)

References 34 publications

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“…It is mathematically difficult due to the presence of time correlation. In the literature, only a few approximated results are available in [15]- [17]. They are complicated without clear insights and thus are not favorable for system design.…”

Section: Shifted-gamma Rvsmentioning

confidence: 99%

“…A truncation approximation with uniform convergence is then proposed to ease the computation of the exact outage probability. Notice that the uniform convergence is stronger than the MSE convergence in [16], [17] and thus offers higher accuracy in the approximation. The analytical result in this paper also enables the asymptotic outage analysis, which has never been conducted for July 28, 2018 DRAFT HARQ-IR even under fast fading channels.…”

Section: Introductionmentioning

confidence: 99%

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Asymptotic Outage Analysis of HARQ-IR Over Time-Correlated Nakagami- $m$ Fading Channels

Shi

Yang

et al. 2017

IEEE Trans. Wireless Commun.

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In this paper, outage performance of hybrid automatic repeat request with incremental redundancy (HARQ-IR) is analyzed. Unlike prior analyses, time-correlated Nakagami-m fading channel is considered. The outage analysis thus involves the probability distribution analysis of a product of multiple correlated shifted Gamma random variables and is more challenging than prior analyses. Based on the finding of the conditional independence of the received signal-to-noise ratios (SNRs), the outage probability is exactly derived by using conditional Mellin transform. Specifically, the outage probability of HARQ-IR under time-correlated Nakagami-m fading channels can be written as a weighted sum of outage probabilities of HARQ-IR over independent Nakagami fading channels, where the weightings are determined by a negative multinomial distribution. This result enables not only an efficient truncation approximation of the outage probability with uniform convergence but also asymptotic outage analysis to further extract clear insights which have never been discovered for HARQ-IR even under fast fading channels. The asymptotic outage probability is then derived in a simple form which clearly quantifies the impacts of transmit powers, channel time correlation and information transmission rate. It is proved that the asymptotic outage probability is an inverse power function of the product of transmission powers in all HARQ rounds, an increasing function of the channel time correlation coefficients, and a monotonically increasing and convex function of information transmission rate. The simple expression of the asymptotic result enables optimal power allocation and optimal rate selection of HARQ-IR with low complexity. Finally, numerical results are provided to verify our analytical results and justify the application of the asymptotic result for optimal system design. Hybrid automatic repeat request with incremental redundancy, time correlation, Nakagami-m fading, asymptotic outage analysis, product of multiple random variables. Index Terms

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Section: Shifted-gamma Rvsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Asymptotic Outage Analysis of HARQ-IR Over Time-Correlated Nakagami- $m$ Fading Channels

Shi

Yang

et al. 2017

IEEE Trans. Wireless Commun.

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“…It has been proved that the maximal energy efficiency of Type I HARQ operating over independent Rayleigh fading channels without QoS constraints is 1 e ln (2) . From (27), we can see that channel time correlation will affect the optimal energy efficiency through the term θ L . As proved in Appendix C, θ L is a decreasing function of time correlation coefficient ρ.…”

Section: Optimal Rate and Optimal Energy Efficiencymentioning

confidence: 99%

“…−L and the right hand side of (76) equals to 0 since c = (27), the optimal energy efficiency can be rewritten as…”

Section: T0mentioning

confidence: 99%

“…Specifically, the performance of HARQ-IR over time-correlated Rayleigh fading channels is investigated in [26] through polynomial fitting technique. The analytical results are further extended to cooperative HARQ-IR over time-correlated Nakagami-m fading channels in [27]. Most of prior works are conducted for the analysis of either outage probability or spectral efficiency.…”

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confidence: 99%

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Energy-Efficient Optimization for HARQ Schemes Over Time-Correlated Fading Channels

Shi

Yang

et al. 2018

IEEE Trans. Veh. Technol.

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Abstract-Energy efficiency of three common hybrid automatic repeat request (HARQ) schemes including Type I HARQ, HARQ with chase combining (HARQ-CC) and HARQ with incremental redundancy (HARQ-IR), is analyzed and joint power allocation and rate selection to maximize the energy efficiency is investigated in this paper. Unlike prior literature, time-correlated fading channels is considered and two widely concerned quality of service (QoS) constraints, i.e., outage and goodput constraints, are also considered in the optimization, which further differentiates this work from prior ones. Using a unified expression of asymptotic outage probabilities, optimal transmission powers and optimal rate are derived in closed-forms to maximize the energy efficiency while satisfying the QoS constraints. These closed-form solutions then enable a thorough analysis of the maximal energy efficiencies of various HARQ schemes. It is revealed that with low outage constraint, the maximal energy efficiency achieved by Type I HARQ is 1 4 ln 2 bits/J, while HARQ-CC and HARQ-IR can achieve the same maximal energy efficiency as κ∞ 4 ln 2 bits/J where κ∞ = 1.6617. Moreover, time correlation in the fading channels has a negative impact on the energy efficiency, while large maximal allowable number of transmissions is favorable for the improvement of energy efficiency. The effectiveness of the energy-efficient optimization is verified by extensive simulations and the results also show that HARQ-CC can achieve the best tradeoff between energy efficiency and spectral efficiency among the three HARQ schemes.Index Terms-Energy efficiency, time-correlated fading channels, hybrid automatic repeat request, power allocation and rate selection.

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Goodput Maximization of HARQ-IR Over Arbitrarily Correlated Rician Fading Channels

Shi

Wang

et al. 2018

IEEE Access

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Inverse Moment Matching Based Analysis of Cooperative HARQ-IR over Time-Correlated Nakagami Fading Channels

Cited by 12 publications

References 34 publications

Asymptotic Outage Analysis of HARQ-IR Over Time-Correlated Nakagami- $m$ Fading Channels

Asymptotic Outage Analysis of HARQ-IR Over Time-Correlated Nakagami- $m$ Fading Channels

Energy-Efficient Optimization for HARQ Schemes Over Time-Correlated Fading Channels

Goodput Maximization of HARQ-IR Over Arbitrarily Correlated Rician Fading Channels

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