A Unified Moment-Based Approach for the Evaluation of the Outage Probability With Noise and Interference

Rached, Nadhir Ben; Kammoun, Abla; Alouini, Mohamed‐Slim; Tempone, Raúl

doi:10.1109/twc.2016.2635652

Cited by 30 publications

(32 citation statements)

References 27 publications

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“…is the Marcum Q function [44], a close fit is also observed. Similar observations are also made in Table II].…”

Section: B Rician Fading Modelsupporting

confidence: 60%

“…In this section, closed-form outage probability expressions are derived for the HBD-UCS. [35], the modified Bessel function of the first kind with zero order [39], the Marcum Q function [44], and the confluent Hypergeometric function [39], respectively. The fractional moment of |h| 2 , i.e., E{(|h| 2 ) j } is given in (11) while a n, , K , m, 1 and a n, , K , γ are given in (8) and 12, respectively.…”

Section: Outage Probability Derivationsmentioning

confidence: 99%

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A Power Series Approach for Hybrid-Duplex UAV Communication Systems Under Rician Shadowed Fading

et al. 2019

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A hybrid-duplex (HBD) UAV communication system (UCS), i.e., HBD-UCS, to improve spectrum utilization is investigated in this work. By considering the combined effect of fading and shadowing, a comprehensive outage probability analysis of the HBD-UCS under various inter-UAV interference and shadowing scenarios over Rician shadowed fading channels is conducted. It is demonstrated that the ground station (GS) in full-duplex (FD) mode operates at lower outage probability than in half-duplex (HD) mode. Furthermore, the joint detector is shown to achieve lower outage probability than the interference ignorant (II) detector and HD-UCS, even when severe shadowing is encountered. As such, utilizing joint detectors in an HBD-UCS enables multi-UAV networks to achieve high reliability when operating in urban environments. INDEX TERMS Unmanned aerial vehicle, spectrum efficiency, half-duplex, full-duplex, hybrid-duplex, outage probability, rician, shadowing. A. MOTIVATION AND RELATED LITERATURE Although utilitarian, multi-UAV networks are mired with its own set of challenges that must be addressed. Of particular importance is the lack of available spectrum for UAV communications [5], [6]. Despite the allocation of parts of The associate editor coordinating the review of this manuscript and approving it for publication was Jiayi Zhang. the L-band and C-band for UAV control and non-payload communications (CNPC) by the International Telecommunications Union (ITU) [5], spectrum scarcity is still a challenge. In particular, many other existing systems, e.g., aeronautical communication systems, are also operating on both the L-band and C-band [5]-[7]. In this aspect, a hybrid-duplex (HBD) UAV communication system (UCS), i.e., HBD-UCS, can be a direct solution address spectrum scarcity in UAV communications. The HBD paradigm enables UAVs with existing half-duplex (HD) communication systems, i.e., HD-UCS to simultaneously operate on the same spectrum with full-duplex (FD) ground stations (GSs), effectively doubling spectrum efficiency. However, the simultaneous transmission and reception of signals results in self-interference (SI) at the FD-enabled GS, which can be mitigated via passive or active SI mitigation architectures [8], [9]. The former entails introducing path loss and shadowing, e.g., through antenna placements, while the latter involves canceling SI in the analog or digital domain [9]. Even after SI mitigation, residual SI can still remain due to non-ideal FD transceiver impairments, such as carrier phase noise and imperfect

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“…is the Marcum Q function [44], a close fit is also observed. Similar observations are also made in Table II].…”

Section: B Rician Fading Modelsupporting

confidence: 60%

Section: Outage Probability Derivationsmentioning

confidence: 99%

A Power Series Approach for Hybrid-Duplex UAV Communication Systems Under Rician Shadowed Fading

et al. 2019

View full text Add to dashboard Cite

show abstract

“…The assumption P (X 1 < γ th ) /P (X 1 ≤ γ th /L) = O(1) is not restrictive since it is satisfied by many challenging distributions such that the Generalized Gamma (which includes in particular the Gamma and the Weibull distributions), and the κ − µ distributions, see [23]. Moreover, in the independent and not identically distributed scenario, the bounded relative error property holds when the assumption of Proposition 1 is satisfied for each X i , i = 1, · · · , N. In particular when L = N, this IS estimator, with the assumption in Propostion 1, is the first to achieve the bounded relative error property in the independent and not identically distributed case since, to the best of the authors' knowledge, this property has only been achieved in the i.i.d setting [3].…”

Section: A Universal Is Estimatormentioning

confidence: 99%

On the Sum of Order Statistics and Applications to Wireless Communication Systems Performances

Rached

Botev

Kammoun

et al. 2018

IEEE Trans. Wireless Commun.

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We consider the problem of evaluating the cumulative distribution function (CDF) of the sum of order statistics, which serves to compute outage probability (OP) values at the output of generalized selection combining receivers. Generally, closed-form expressions of the CDF of the sum of order statistics are unavailable for many practical distributions. Moreover, the naive Monte Carlo (MC) method requires a substantial computational effort when the probability of interest is sufficiently small. In the region of small OP values, we propose instead two effective variance reduction techniques that yield a reliable estimate of the CDF with small computing cost. The first estimator, which can be viewed as an importance sampling estimator, has bounded relative error under a certain assumption that is shown to hold for most of the challenging distributions. An improvement of this estimator is then proposed for the Pareto and the Weibull cases. The second is a conditional MC estimator that achieves the bounded relative error property for the Generalized Gamma case and the logarithmic efficiency in the Log-normal case. Finally, the efficiency of these estimators is compared via various numerical experiments.[13] distributions. On the other hand, efficient simulation methods have been also developed for the estimation of the CDF of the sum of RVs such as the Log-normal [3], [14]-[17] and the Generalied Gamma [3].In the general case where L < N and apart from the exponential and Gamma RVs, closed-form expressions of the CDF of partial sums of ordered RVs are out of reach for many challenging distributions and are still open problems. This is for instance the case of the Log-normal RV which models shadowing [18] and weak-to-moderate turbulence channels in free space optical communication systems [19]. The Weibull variate, which has also received an increasing interest and has been shown to fit realistic propagation channels [20], is another example where the CDF of sums of order statistics is not known to possess a closed-form expression. Thus, it is important to propose alternative approaches to compute the CDF of sums of ordered RVs with arbitrary distributions.

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Section: A Universal Is Estimatormentioning

confidence: 99%

Importance Sampling Estimator of Outage Probability under Generalized Selection Combining Model

Rached

Botev

Kammoun

et al. 2018

2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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We consider the problem of evaluating outage probability (OP) values of generalized selection combining diversity receivers over fading channels. This is equivalent to computing the cumulative distribution function (CDF) of the sum of order statistics. Generally, closed-form expressions of the CDF of order statistics are unavailable for many practical distributions. Moreover, the naive Monte Carlo method requires a substantial computational effort when the probability of interest is sufficiently small. In the region of small OP values, we propose instead an efficient, yet universal, importance sampling (IS) estimator that yields a reliable estimate of the CDF with small computing cost. The main feature of the proposed IS estimator is that it has bounded relative error under a certain assumption that is shown to hold for most of the challenging distributions. Moreover, an improvement of this estimator is proposed for the Pareto and the Weibull cases. Finally, the efficiency of the proposed estimators are investigated through various numerical experiments.

show abstract

A Unified Moment-Based Approach for the Evaluation of the Outage Probability With Noise and Interference

Cited by 30 publications

References 27 publications

A Power Series Approach for Hybrid-Duplex UAV Communication Systems Under Rician Shadowed Fading

A Power Series Approach for Hybrid-Duplex UAV Communication Systems Under Rician Shadowed Fading

On the Sum of Order Statistics and Applications to Wireless Communication Systems Performances

Importance Sampling Estimator of Outage Probability under Generalized Selection Combining Model

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