An MGF-Based Unified Framework to Determine the Joint Statistics of Partial Sums of Ordered i.n.d. Random Variables

Nam, Sung Sik; Yang, Hong-Chuan; Alouini, Mohamed‐Slim; Kim, Dong In

doi:10.1109/tsp.2014.2326624

Cited by 7 publications

(29 citation statements)

References 31 publications

(41 reference statements)

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“…A more general function extensively used in communication theory is the so-called incomplete MGF (IMGF), also referred to as truncated MGF, or interval MGF. This function has an additional degree of freedom by allowing the lower (or equivalently, upper) limit of the integral in the Laplace transform, say ζ, to be greater than zero (or equivalently, lower than ∞), and also appears when characterizing the performance in a number of scenarios of interest: order statistics [8][9][10][11], symbol and bit error rate calculation with multiantenna reception [12,13], capacity analysis in fading channels [2], outage probability This work was presented in part at European Wireless 2015. F. J. Lopez-Martinez and J. F. Paris are with Departamento de Ingeniería de Comunicaciones, Universidad de Malaga -Campus de Excelencia Internacional Andalucía Tech., Malaga 29071, Spain.…”

Section: Introductionmentioning

confidence: 99%

On the Calculation of the Incomplete MGF with Applications to Wireless Communications

López‐Martínez

Romero-Jerez

Paris

2016

IEEE Trans. Commun.

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The incomplete moment generating function (IMGF) has paramount relevance in communication theory, since it appears in a plethora of scenarios when analyzing the performance of communication systems. We here present a general method for calculating the IMGF of any arbitrary fading distribution. Then, we provide exact closed-form expressions for the IMGF of the very general κ-µ shadowed fading model, which includes the popular κ-µ, η-µ, Rician shadowed and other classical models as particular cases. We illustrate the practical applicability of this result by analyzing several scenarios of interest in wireless communications: (1) Physical layer security in the presence of an eavesdropper, (2) Outage probability analysis with interference and background noise, (3) Channel capacity with side information at the transmitter and the receiver, and (4) Average bit-error rate with adaptive modulation, when the fading on the desired link can be modeled by any of the aforementioned distributions.Index Terms-Fading channels, κ-µ shadowed fading, moment generating function, physical layer security, secrecy capacity, outage probability, channel capacity, bit error rate.

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Section: Introductionmentioning

confidence: 99%

On the Calculation of the Incomplete MGF with Applications to Wireless Communications

López‐Martínez

Romero-Jerez

Paris

2016

IEEE Trans. Commun.

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“…Specifically, we provided the closed-form expressions for the required key statistics of i.n.d. ordered exponential RVs by applying a unified framework to determine the target statistics of partial sums of ordered RVs proposed in [8], [9] and the general comprehensive framework for the outage performance based on the these statistical results. The proposed approach is quite general to apply to the performance analysis of various wireless communication systems over practical fading channels.…”

Section: Discussionmentioning

confidence: 99%

“…, L) is independent of Y . Hence, by adopting the proposed approach in [8], [9] instead of October 26, 2018 DRAFT applying [5], required key statistics in (5) can be evaluated as…”

Section: System Models and Performance Measuresmentioning

confidence: 99%

“…Thus, based on the unified frame work in [7] and the extended work for i.n.d. case in [8], [9], each key statistics for three cases can be derived by applying the special step approach based on the substituted groups instead of original groups for each cases (i.e., starting from 2-dimensional joint statistics, 4-dimensional joint statistics, and 2-dimensional joint statistics, respectively) as…”

Section: Key Statisticsmentioning

confidence: 99%

“…Finally, by simply applying a basic exponential integration [10] over z 2 after substituting (22) in (9) and then replacing z in (22) by z 2 , we can obtain the target CDF in closed-form as shown in (12).…”

Section: Appendix IImentioning

confidence: 99%

See 2 more Smart Citations

Statistical analysis on finger replacement schemes for RAKE receivers in the soft handover region with multiple BSs over i.n.d. fading channels

Nam

Alouini

et al. 2017

PLoS ONE

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A new finger replacement technique which is applicable for RAKE receivers in the soft handover region has been proposed and studied under the ideal assumption that the fading is both independent and identically distributed from path to path. To supplement our previous work, we present a general comprehensive framework for the performance assessment of the proposed finger replacement schemes operating over independent but non-identically distributed (i.n.d.) faded paths. To accomplish this object, we derive new closed-form expressions for the target key statistics which are composed of i.n.d. exponential random variables. With these new expressions, the performance analysis of various wireless communication systems over more practical channel environments can be possible.

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Performance Analysis of Grant-Free Random-Access NOMA in URLL IoT Networks

Amini

Baidas

2021

IEEE Access

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Internet-of-Things (IoT) networks have recently emerged to provide massive connectivity for many application scenarios and services. Additionally, developing spectrum-access strategies for a large number of nodes with sporadic data traffic behaviors in IoT networks has attracted much attention recently. However, developing such strategies becomes more challenging when ultra-reliable low-latency (URLL) transmissions are required. As IoT networks entail spectrum-efficient transmission schemes, non-orthogonal multiple-access (NOMA) has emerged as a key enabler for such networks. On the other hand, grant-free random-access (RA) techniques are particularly promising for high spectral-efficiency and massive connectivity, since they reduce signaling overhead, and packet latency. Therefore, in this paper, uplink RA-NOMA IoT networks with clustered IoT devices is studied, where short packet and diversity transmissions are adopted to meet the URLL requirements. To reduce the negative effect of diversity transmission on packet latency, multiple replicas of packets are accommodated within different resource blocks (RBs) in the same transmission time interval (TTI). The analytical expressions of network metrics, namely, average packet latency, reliability, and GoodPut are derived. Furthermore, the effect of the number of packet replicas, blocklength, and cluster size on the network metrics is evaluated. Finally, the analytical derivations are utilized to find the optimal values for the number of packet replicas, blocklength, and power control parameters, such that the network GoodPut is maximized, subject to URLL constraints.INDEX TERMS Internet-of-Things, low-latency, NOMA, random-access, ultra-reliability. I. INTRODUCTIONFifth generation (5G) cellular networks have ignited numerous research areas since its introduction. The fundamental difference between 5G and the previous generations is that 5G is the driver for implementing two generic types of communications, namely, ultra-reliable low-latency communication (URLLC) and massive machine-type communication (mMTC) [1]. The combination of these two communication types along with the explosive and exponential growth in the number of smart devices, applications, and services is the advent of massive Internet-of-Things (mIoT) networks. This is in addition to the extensive emerging mission-critical applications and use cases, such as tactile Internet (involving remote motion control, tele-surgery, etc.), factory automation, Industrial IoT (IIoT), and those under the The associate editor coordinating the review of this manuscript and approving it for publication was Noor Zaman .

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An MGF-Based Unified Framework to Determine the Joint Statistics of Partial Sums of Ordered i.n.d. Random Variables

Cited by 7 publications

References 31 publications

On the Calculation of the Incomplete MGF with Applications to Wireless Communications

On the Calculation of the Incomplete MGF with Applications to Wireless Communications

Statistical analysis on finger replacement schemes for RAKE receivers in the soft handover region with multiple BSs over i.n.d. fading channels

Performance Analysis of Grant-Free Random-Access NOMA in URLL IoT Networks

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