Throughput Analysis of ARQ Schemes in Gaussian Block Fading Channels

Larsson, Peter; Rasmussen, Lars K.; Skoglund, Mikael

doi:10.1109/tcomm.2014.2321383

Cited by 66 publications

(73 citation statements)

References 31 publications

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“…The outage probability and the long terms average throughput of HARQ-IR over temporally correlated Rayleigh fading channels have been investigated in [14]. The throughput of different ARQ schemes over Gaussian block fading channels has been analysed in [15]. An adaptive power allocation algorithm has been proposed in [16] for systems using HARQ-IR.…”

Section: B Related Workmentioning

confidence: 99%

Throughput and Delay Analysis of HARQ With Code Combining Over Double Rayleigh Fading Channels

Chelli

Zedini

Alouini

et al. 2018

IEEE Trans. Veh. Technol.

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Abstract-This paper proposes the use of hybrid automatic repeat request (HARQ) with code combining (HARQ-CC) to offer reliable communications over double Rayleigh channels. The double Rayleigh fading channel is of particular interest to vehicle-to-vehicle communication systems as well as amplify-andforward relaying and keyhole channels. This work studies the performance of HARQ-CC over double Rayleigh channels from an information theoretic perspective. Analytical approximations are derived for the -outage capacity, the average number of transmissions, and the throughput of HARQ-CC. Moreover, we evaluate the delay experienced by Poisson arriving packets for HARQ-CC. We provide analytical expressions for the average waiting time, the packets sojourn time, the average consumed power, and the energy efficiency. In our investigation, we take into account the impact of imperfect feedback on different performance metrics. Additionally, we explore the tradeoff between energy efficiency and the throughput. The proposed scheme is shown to maintain the outage probability below a specified threshold which ensures the link reliability. Meanwhile, HARQ-CC adapts implicitly the transmission rate to the channel conditions such that the throughput is maximized. Our results demonstrate that HARQ-CC allows improving the achievable communication rate compared to fixed time diversity schemes. To maximize the throughput of HARQ-CC, the rate per HARQ round should be less than the rate required to meet the outage constraint. Our investigation of the performance of HARQ-CC over Rayleigh and double Rayleigh channels shows that double Rayleigh channels have a higher severity of fading and result in a larger degradation of the throughput. Our analysis reveals that HARQ with incremental redundancy (HARQ-IR) achieves a larger throughput compared to HARQ-CC, while HARQ-CC is simpler to implement, has a lower decoding complexity, and requires less memory resources.Index Terms-Vehicle-to-vehicle communications, double Rayleigh channel, hybrid automatic repeat request (HARQ), code combining, throughput, delay analysis, energy efficiency, information outage capacity.

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Section: B Related Workmentioning

confidence: 99%

Throughput and Delay Analysis of HARQ With Code Combining Over Double Rayleigh Fading Channels

Chelli

Zedini

Alouini

et al. 2018

IEEE Trans. Veh. Technol.

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“…In addition, with our energyefficient optimization, the HARQ-IR scheme can achieve the highest energy efficiency but with the lowest spectral efficiency since our design is targeting at energy efficiency maximization. Notice that this result is different from that in [5], [9], [10] where the design objective is to maximize the spectral efficiency. To further illustrate the tradeoff between the energy and spectral efficiencies for the three HARQ schemes, the minimum goodput requirement T 0 is varied from 0.5bps/Hz to 10bps/Hz and the corresponding efficiencies are shown in Fig.…”

Section: Spectral Efficiencymentioning

confidence: 63%

“…Noticing no closedform solution and heavy computational overhead in [6], two suboptimal algorithms are then proposed for rate selection in [7] to substantially reduce the computational complexity while guaranteeing a comparable performance to the globally optimal solution. By deriving the throughput using Laplace transform, a parameterization-based method is developed to find the optimal rate in (semi-)closed-form to maximize the throughput for various HARQ schemes in [10]. Moreover, when outdated CSI is available at the transmitter, the optimal transmission rate to maximize the LTAT of HARQ-IR is found by using dynamic programming in [12].…”

mentioning

confidence: 99%

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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“…The minimum number of the transmit/receive antennas required to satisfy outage probability constraints were studied for large-but-finite scale MIMO with/without ARQ feedback in [18]. In [19], the authors addressed the problem of throughput maximization for the HARQ-CC and HARQ-IR with orthogonal spacetime block coding (OSTBC) and/or RX diversity in block fading channels. In [20], the authors considered the throughput maximization of HARQ schemes in a large-scale MIMO system utilizing the asymptotic results from random matrix theory.…”

Section: Introductionmentioning

confidence: 99%

“…• Since the optimal rate selection methods for the HARQ-CC and HARQ-IR schemes require heavy computational burden, we propose sub-optimal rate selection methods which yield a closer LATR performance to that of the optimal rate selection methods with reduced computational complexity. • For the Type-I HARQ and HARQ-IR, we also present a parameterization-based method [19] showing the approximate relation between the expressions of the optimized-LATR, optimal rate, and the number of antennas. Using this parameterization, the relationship among those expressions can be plotted without any numerical search.…”

Section: Introductionmentioning

confidence: 99%

Hybrid ARQ in Multicell MU-SIMO With Large-Scale Antenna Arrays

Kim

Chaitanya

Le‐Ngoc

2016

IEEE Trans. Wireless Commun.

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We consider Hybrid Automatic Repeat & reQuest (HARQ) schemes in the uplink of a multicell multiuser singleinput multiple-output system with large-scale antenna arrays at the base station (BS) for improving the spectral efficiency while limiting the number of retransmissions. Assuming a zeroforcing receiver at each BS and that each BS knows only the channel gains of users in its own cell, we derive the expressions for the outage probability and long-term average transmission rate (LATR) of the Type-I HARQ, HARQ with Chase-combining (HARQ-CC), HARQ with incremental redundancy (HARQ-IR). We then formulate the optimal rate-selection problems for the three schemes and provide methods to find a solution. Since the optimal-rate selection methods for the HARQ-CC and HARQ-IR schemes are computationally intensive, we propose sub-optimal rate-selection methods which yield a closer LATR performance to that of the optimal methods. For the Type-I HARQ and HARQ-IR, we also present a parameterization-based method showing the approximate relation between the expressions of the optimized-LATR, optimal rate, and number of antennas. Illustrative results show that HARQ-IR has significant gain over HARQ-CC and Type-I HARQ in terms of LATR, while Type-I HARQ yields practically similar performance to HARQ-CC as the number of antennas at the BS increase.Index Terms-hybrid automatic repeat & request (HARQ), large-scale antenna arrays, multiuser single-input multipleoutput (MU-SIMO), multicell.

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Throughput Analysis of ARQ Schemes in Gaussian Block Fading Channels

Cited by 66 publications

References 31 publications

Throughput and Delay Analysis of HARQ With Code Combining Over Double Rayleigh Fading Channels

Throughput and Delay Analysis of HARQ With Code Combining Over Double Rayleigh Fading Channels

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

Hybrid ARQ in Multicell MU-SIMO With Large-Scale Antenna Arrays

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