Performance analysis of cooperative HARQ-IR over time-correlated Nakagami-m fading channels

Yang, Xuanxuan; Shi, Zheng; Ma, Shaodan; Tam, Kam‐Weng

doi:10.1109/iccs.2014.7024834

Cited by 5 publications

(13 citation statements)

References 17 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: Probability Distribution Of the Product Of Multiple Correlat...mentioning

confidence: 99%

“…Based on (15), the CDF of the product of multiple correlated shifted-Gamma RVs F G K (x) can be derived as shown in the following theorem.…”

Section: A Exact Cdfmentioning

confidence: 99%

“…Based on (15), the CDF of the product of multiple correlated shifted-Gamma RVs F G K (x) directly follows as (17) where the CDF of A ℓ can be written based on (10) as…”

Section: Appendix B Proof Of Theoremmentioning

confidence: 99%

“…The analysis of HARQ-IR becomes more challenging while considering time-correlated fading channels, which usually occur in low-to-medium mobility environment, because a product of multiple shifted correlated RVs is involved in the CDF of accumulated mutual information. To the best of our knowledge, there are only few approximation approaches available to analyze the performance of HARQ-IR over time-correlated fading channels, that is, Log-normal approximation [15], polynomial fitting technique [16] and inverse moment matching method [17].…”

Section: Introductionmentioning

confidence: 99%

“…Unfortunately, the Log-normal approximation in [15] is inaccurate when the fading channels have medium-to-high time correlation. Although the results in [16] and [17] usually can achieve a good approximation of the CDF of accumulated mutual information, their tightness is proved in mean square error (MSE) sense.…”

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: Probability Distribution Of the Product Of Multiple Correlat...mentioning

confidence: 99%

“…Based on (15), the CDF of the product of multiple correlated shifted-Gamma RVs F G K (x) can be derived as shown in the following theorem.…”

Section: A Exact Cdfmentioning

confidence: 99%

“…Based on (15), the CDF of the product of multiple correlated shifted-Gamma RVs F G K (x) directly follows as (17) where the CDF of A ℓ can be written based on (10) as…”

Section: Appendix B Proof Of Theoremmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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Outage Analysis of Cooperative HARQ-IR over Time-Correlated Fading Channels Based on Inverse Moments

Shi

Ding

et al. 2016

2016 IEEE Global Communications Conference (GLOBECOM)

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

Shi

Ding

et al. 2016

IEEE Trans. Veh. Technol.

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This paper analyzes the performance of cooperative hybrid automatic repeat request with incremental redundancy (HARQ-IR) and proposes a new approach of outage probability approximation for performance analysis. A general timecorrelated Nakagami fading channel covering fast fading and Rayleigh fading as special cases is considered here. An efficient inverse moment matching method is proposed to approximate the outage probability in closed-form. The effect of approximation degree is theoretically analyzed to ease its selection. Moreover, diversity order of cooperative HARQ-IR is analyzed. It is proved that diversity order is irrelevant to the time correlation coefficient ρ as long as ρ < 1 and full diversity from both spatial and time domains can be achieved by cooperative HARQ-IR under time-correlated fading channels. The accuracy of the analytical results is verified by computer simulations and the results reveal that cooperative HARQ-IR scheme can benefit from high fading order and low channel time correlation. Optimal rate selection to maximize the long term average throughput given a maximum allowable outage probability is finally discussed as one application of the analytical results.

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Performance analysis of cooperative HARQ-IR over time-correlated Nakagami-m fading channels

Cited by 5 publications

References 17 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

Outage Analysis of Cooperative HARQ-IR over Time-Correlated Fading Channels Based on Inverse Moments

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

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