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

López‐Martínez, F. Javier; Romero-Jerez, Juan M.; Paris, José F.

doi:10.1109/tcomm.2016.2626440

Cited by 24 publications

(35 citation statements)

References 48 publications

(98 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Finally, it is noted that for the case of MRC and EGC diversity receivers, the EC under the OPRA policy has been evaluated using both MGF-and CHF-based approaches. The incomplete MGF of γ end required for the MGF-based EC evaluation has been computed using the methodology presented in [41]. Our numerical experiments have shown that the EC performance evaluation results obtained using the MGF-based approach are identical to those obtained using the CHF-based approach thus validating the correctness of the mathematical analysis previously presented in Section IV.…”

Section: ) Exact Analysissupporting

confidence: 63%

Effective Capacity of $L_p$ -Norm Diversity Receivers Over Generalized Fading Channels Under Adaptive Transmission Schemes

Κανελλοπούλου

Peppas

Mathiopoulos

2020

IEEE Trans. Commun.

View full text Add to dashboard Cite

This paper presents novel moment generating function (MGF)-and characteristic function (CHF)based frameworks for the EC performance analysis of a generic L p -norm diversity combining scheme under adaptive transmission policies. The considered system operates over generalized fading channels, a maximum delay constraint and under various channel state information (CSI) conditions. Depending upon the operational CSI, four policies are studied, namely: i) Constant power with optimal rate adaptation (ORA); ii) Optimal power and rate adaptation (OPRA); iii) Channel inversion with fixed rate (CIFR); and iv) Truncated CIFR (TIFR). The L p -norm diversity is a generic diversity structure which includes as special cases various well-known diversity schemes, such as equal gain combining (EGC), maximal ratio combining (MRC) and amplify-and-forward (AF) relaying. Under the ORA and OPRA policies, we derive single integral expressions for evaluating the EC of L p -norm diversity reception directly from the MGF or the incomplete MGF of the Signal-to-Noise-Ratio (SNR) at the receiver, respectively. For the EC performance evaluation of the EGC and AF relaying systems operating under the OPRA policy, a CHF-based approach which is computationally more efficient as compared to the MGF-based approach, is further presented. For the CIFR and TIFR policies, it is shown that the EC can be directly evaluated from the MGF or the CHF of the SNR at the receiver, respectively. Moreover, novel closed-form expressions for the EC performance under the ORA policy of dual branch L pnorm diversity receivers operating over Gamma shadowed generalized Nakagami-m fading channels are deduced. For this policy, a novel analytical approach for the asymptotic EC performance analysis is also Part of this work has been published in IEEE 87th Vehicular Technology Conference, 2018 (VTC Spring) [1].February 5, 2019 DRAFT 1 developed and evaluated, revealing how basic system parameters affect the overall system performance.The mathematical formalism is validated with selected numerical and equivalent simulation performance evaluation results, thus confirming the correctness of the proposed analytical methodology. Index TermsAmplify-and-forward transmission, delay constraints, diversity receivers, characteristic function, effective capacity, equal gain combining, fading channels, L p -norm combining, maximal ratio combining, moment generating function.Recently, EC performance studies have been carried out in connection with single-input singleoutput (SISO) systems, multiple-input single-output (MISO) systems with transmit maximal ratio combining (MRC) 1 and relaying systems employing the amplify-and-forward (AF) protocol, e.g. see [7]-[20]. Specifically, in [7], the EC of MISO systems assuming ORA policy and 1The SNR at the output of MISO receivers with transmit MRC is essentially the same as that obtained when MRC is employed in single-input multiple-out (SIMO) systems (divided by a factor equal to the number of transmitting antennas) and as such they will have t...

show abstract

Section: ) Exact Analysissupporting

confidence: 63%

Effective Capacity of $L_p$ -Norm Diversity Receivers Over Generalized Fading Channels Under Adaptive Transmission Schemes

Κανελλοπούλου

Peppas

Mathiopoulos

2020

IEEE Trans. Commun.

View full text Add to dashboard Cite

show abstract

“…Theorem 2: The SOP for Case 1 and Case 2 of the PDF and the CDF are expressed in exact closedform as shown in (18) (19) is simpler than (18) and hence better insights can be obtained for the SOP. To the best authors' knowledge, (18) and (19) are novel and mathematically tractable.…”

Section: Secure Outage Probabilitymentioning

confidence: 99%

Performance Analysis of Physical-Layer Security Over Fluctuating Beckmann Fading Channels

Al‐Hmood

Al-Raweshidy

2019

IEEE Access

View full text Add to dashboard Cite

In this paper, we analyse the performance of physical layer security over Fluctuating Beckmann (FB) fading channel which is an extended model of both the κ − µ shadowed and the classical Beckmann distributions.Specifically, the average secrecy capacity (ASC), secure outage probability (SOP), the lower bound of SOP (SOP L ), and the probability of strictly positive secrecy capacity (SPSC) are derived in exact closed-form expressions using two different values of the fading parameters, namely, m and µ which represent the multipath and shadowing severity impacts, respectively. Firstly, when the fading parameters are arbitrary values, the performance metrics are derived in exact closed-form in terms of the extended generalised bivariate Fox's H-function (EGBFHF) that has been widely implemented in the open literature. In the second case, to obtain simple mathematically tractable expressions in terms of analytic functions as well as to gain more insight on the behaviour of the physical layer security over Fluctuating Beckmann fading channel models, m and µ are assumed to be integer and even numbers, respectively. The numerical results of this analysis are verified via Monte Carlo simulations. Index TermsFluctuating Beckmann fading channel, average secrecy capacity, secure outage probability, probability of strictly positive secrecy capacity.to the additive white Gaussian noise (AWGN) and Rayleigh fading channel are given in [2] and [3], respectively. In [4], the SPSC when both the main and eavesdropper channels undergo Rician fading channel is derived. The SOP and the SPSC of the physical layer using Rician and Nakagami-m fading conditions for the Bob and the eavesdropper wireless channels are given in [5]. The Weibull fading channel model is used in [6] and [7] to study the SPSC and ASC, respectively.Recently, many works have been implemented using various generalized fading distributions that unify most of the well-known channel models. In addition, they provide results closer to the practical data than the conventional distributions, namely, Rayleigh, Nakagami-m, and Nakagami-n. In [8], the ASC over κ − µ fading channel that is used to model the line-of-sight (LoS) communication environment is derived. The performance of the physical layer security in non-linear communication scenario is analysed in [9] and [10] via utilising the α − µ fading condition. Moreover, the ASC, the SOP, the SOP L , and the SPSC of the physical layer over α − µ fading using the Fox's H-function channel model which is a unified framework for a variety of distributions are presented in [11]. The ASC using the κ − µ/α − µ and α − µ/κ − µ fading scenarios for the main/eavesdropper channels is given in [12]. The more generalised fading channels α − κ − µ and α − η − µ are used in [13] to derive the SOP L and its asymptotic value. These fading distributions are provided in a single model which is α − η − κ − µ that is also used to represent both the main channel and the eavesdropper's channel of the classic Wyner's wiretap model in [14].The wi...

show abstract

“…(20). 13 IV. SYSTEM PERFORMANCE Different statistical characteristics of received power can be used to evaluate system performances, such as SINR, spectral efficiency, and area spectral efficiency.…”

Section: Variancementioning

confidence: 99%

Performance Analysis of Joint Transmission Schemes in Ultra-Dense Networks – A Unified Approach

Chen

Liu

Zhao

et al. 2020

IEEE/ACM Trans. Networking

View full text Add to dashboard Cite

Ultra-dense network (UDN) is one of the enabling technologies to achieve 1000-fold capacity increase in 5G communication systems, and the application of joint transmission (JT) is an effective method to deal with severe inter-cell interferences in UDNs. However, most works done for performance analysis on JT schemes in the literature were based largely on simulation results due to the difficulties in quantitatively identifying the numbers of desired and interfering transmitters. In this work, we are motivated to propose an analytical approach to investigate the performance of JT schemes with a unified approach based on stochastic geometry, which is in particular useful for studying different JT methods and conventional transmission schemes without JT. Using the proposed approach, we can unveil the statistic characteristics (i.e., expectation, moment generation function, variance) of desired signal and interference powers of a given user equipment (UE), and thus system performances, such as average signal-to-interference-plus-noise ratio (SINR), and area spectral efficiency, can be evaluated analytically. The simulation results are used to verify the effectiveness of the proposed unified approach.

show abstract

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

Cited by 24 publications

References 48 publications

Effective Capacity of $L_p$ -Norm Diversity Receivers Over Generalized Fading Channels Under Adaptive Transmission Schemes

Effective Capacity of $L_p$ -Norm Diversity Receivers Over Generalized Fading Channels Under Adaptive Transmission Schemes

Performance Analysis of Physical-Layer Security Over Fluctuating Beckmann Fading Channels

Performance Analysis of Joint Transmission Schemes in Ultra-Dense Networks – A Unified Approach

Contact Info

Product

Resources

About