Outage statistics for Beckmann fading channels in non-isotropic scattering environments

Dahech, Wiem; Hajri, Nazih; Youssef, Néji; Kawabata, Tsutomu; Pätzold, Matthias

doi:10.1109/apcc.2015.7412503

Cited by 6 publications

(3 citation statements)

References 16 publications

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“…where γ m represents in this case the received power of the desired signal at antenna m, undergoing Beckmann fading, J is the number of different interfering signals, each one with multiplicity n i , therefore (15) and…”

Section: Scenariosmentioning

confidence: 99%

“…This fact has hindered the performance evaluation of wireless communication systems operating under this otherwise intuitive and physically-justified fading model. For this reason, and despite remarkable efforts have been made in order to analyze different performance metrics such as capacity, error probability, level crossing statistics and outage probability under Beckmann fading [14][15][16], there are still many communication-theoretic open problems which remain unexplored when Beckmann fading is considered.…”

Section: Introductionmentioning

confidence: 99%

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Generalized MGF of Beckmann Fading With Applications to Wireless Communications Performance Analysis

Peña-Martín

Romero-Jerez

López‐Martínez

2017

IEEE Trans. Commun.

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Abstract-The Beckmann distribution is a general multipath fading model for the received radio signal in the presence of a large number of scatterers, which can thence be modeled as a complex Gaussian random variable where both the inphase and quadrature components have arbitrary mean and variance. However, the complicated nature of this distribution has prevented its widespread use and relatively few analytical results have been reported for this otherwise useful fading model. In this paper, we derive a closed-form expression for the generalized moment-generating function (MGF) of the signal-to-noise ratio (SNR) of Beckmann fading, which permits to circumvent the inherent analytical complexity of this model. This is a new and useful result, as it is key for evaluating several important performance metrics of different wireless communication systems and also permits to readily compute the moments of the output SNR. Thus, we obtain simple exact expressions for the energy detection performance in Beckmann fading channels, both in terms of the receiver operating characteristic (ROC) curve and of the area under ROC curve. We also analyze the outage probability in interference limited systems affected by Beckmann fading, as well as the outage probability of secrecy capacity in wiretap Beckmann fading channels. Monte Carlo simulations have been performed to validate the derived expressions.

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Section: Scenariosmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Generalized MGF of Beckmann Fading With Applications to Wireless Communications Performance Analysis

Peña-Martín

Romero-Jerez

López‐Martínez

2017

IEEE Trans. Commun.

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show abstract

“…Despite being very general, the fact that its probability density function (PDF) and cumulative probability function (CDF) have integral form clearly hindered the performance evaluation of wireless communication systems operating this otherwise intuitive and physically-justified fading model. Remarkable efforts have been made in order to analyze different performance metrics under Beckmann fading [15][16][17], but the analysis of energy detection in this scenario is still largely unknown.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Energy Detection of Unknown Signals under Beckmann Fading Channels

Peña-Martín

Romero-Jerez

López‐Martínez

2017

2017 IEEE 85th Vehicular Technology Conference (VTC Spring)

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Abstract-The Beckmann fading is a general multipath fading model which includes Rice, Hoyt and Rayleigh fading as particular cases. However, the generality of the Beckmann fading also implies a significant increased mathematical complexity. Thus, relatively few analytical results have been reported for this otherwise useful fading model. The performance of energy detection for multi-branch receivers operating under Beckmann fading is here studied, and the inherent analytical complexity is here circumvented by the derivation of a closed-form expression for the generalized moment generating function (MGF) of the received signal-to-noise ratio (SNR), which is a new and useful result, as it is key for evaluating the receiver operating characteristics. The impact of fading severity on the probability of missed detection is shown to be less critical as the SNR decreases. Monte Carlo simulations have been carried out in order to validate the obtained theoretical expressions.

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Cramer-Rao Bound Approach and Error Performance for Spatial Modulation over Beckmann Fading Channels

Canbilen

Ikki

2020

ICC 2020 - 2020 IEEE International Conference on Communications (ICC)

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Outage statistics for Beckmann fading channels in non-isotropic scattering environments

Cited by 6 publications

References 16 publications

Generalized MGF of Beckmann Fading With Applications to Wireless Communications Performance Analysis

Generalized MGF of Beckmann Fading With Applications to Wireless Communications Performance Analysis

Analysis of Energy Detection of Unknown Signals under Beckmann Fading Channels

Cramer-Rao Bound Approach and Error Performance for Spatial Modulation over Beckmann Fading Channels

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