Novel Closed-Form Exact Expressions and Asymptotic Analysis for the Symbol Error Rate of Single- and Multiple-Branch MRC and EGC Receivers Over $\alpha$– $\mu$ Fading

Ayadi, Moataz M. H. El; Ismail, Mahmoud H.

doi:10.1109/tvt.2014.2316418

Cited by 25 publications

(15 citation statements)

References 33 publications

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“…Combining (3)-(5) and changing the integration variable, P e can be computed by, Several formulations for P e calculation have generally adopted the moment generating function (MGF) approach to express their final results in closed forms, in terms of transcendental functions (Magableh and Matalgah 2009;El Ayadi and Ismail 2014). However, (6) may be easily and accurately calculated by numerical quadrature methods.…”

Section: Cycle Slips Bit Error Rate and α-µ Modelmentioning

confidence: 99%

GPS availability and positioning issues when the signal paths are aligned with ionospheric plasma bubbles

et al. 2018

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The propagation paths of signals through equatorial ionospheric irregularities are analyzed by evaluating their effects on Global Navigation Satellite System (GNSS) positioning and availability. Based on observations during 32 days by a scintillation monitor at São José dos Campos, Brazil, it was noted that there is a dominance of enhanced scintillation events for Global Positioning System (GPS) ray paths aligned with the azimuth angle of 345° (geographic northwest). This azimuth corresponds to the magnetic meridian that has a large westward declination angle in the region (21.4ºW). Such results suggest that the enhanced scintillation events were associated with GPS signals that propagated through plasma bubbles aligned along the direction of the magnetic field. It will be shown that, under this alignment condition, the longer propagation path length through plasma bubbles can result in more severe scintillation cases and more losses of signal lock, as supported by proposed statistics of bit error probability and mean time between cycle slips. Additionally, large precise positioning errors are also related to these events, as demonstrated by precise point positioning experiments.

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Section: Cycle Slips Bit Error Rate and α-µ Modelmentioning

confidence: 99%

GPS availability and positioning issues when the signal paths are aligned with ionospheric plasma bubbles

et al. 2018

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“…Our previously proposed SER calculation framework in [15] was totally dependent on the straightforward and simple derivation of the Mellin transform of f γ (γ). For the general case of unified Fox's H-function distribution, the Mellin transform can be easily obtained only if the path of integration in (1) is a straight line parallel to the imaginary axis.…”

Section: A Sufficient Conditions For the Validity Of Analysismentioning

confidence: 99%

“…2) Example 2: EGK fading with EGC diversity and M -QAM modulation: According to [15 , Table III], the exact SER for M -QAM modulation is given by…”

Section: Demonstrative Examplesmentioning

confidence: 99%

Closed-Form Exact and Asymptotic Expressions for the Symbol Error Rate and Capacity of the -Function Fading Channel

Alhennawi

Ayadi

Ismail

et al. 2016

IEEE Trans. Veh. Technol.

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112

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In this paper, we derive closed-form exact and asymptotic expressions for the symbol error rate (SER) as well as channel capacity when communicating over the Fox's H-function fading channel. The SER expressions are obtained for numerous practically-employed modulation schemes in case of single as well as three multiplebranch diversity receivers: maximal ratio combining (MRC), equal gain combining (EGC), and selection combining (SC). The derived exact expressions are given in terms of the univariate and multivariate Fox-H functions for which we provide a portable and efficient Python code. Since the Fox's H-function fading channel represents the most generalized fading model ever presented in the literature, the derived expressions subsume most of those previously presented for all the known simple and composite fading models. Moreover, easy-to-compute asymptotic expansions are provided so as to easily study the behavior of the SER and channel capacity at high values of the average signal-to-noise (SNR). The asymptotic expansions are also useful in comparing different modulation schemes and receiver diversity combiners. Numerical and simulation results are also provided to support the mathematical analysis and prove the validity of the obtained expressions.

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“…Although numerical simulations show a good agreement between the approximate and the exact solution, the proposed approach is restricted to the i.i.d case. Recently, closed-form expressions for the SER of EGC and MRC receivers over α − µ fading were derived in [10]. Using the Mellin transform, El Ayadi et al expressed the SER in terms of the Fox H-functions.…”

Section: Introductionmentioning

confidence: 99%

On the Fast and Precise Evaluation of the Outage Probability of Diversity Receivers Over $\alpha -\mu $ , $\kappa -\mu $ , and $\eta -\mu $ Fading Channels

Issaid

Alouini

Tempone

2018

IEEE Trans. Wireless Commun.

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Abstract-In this paper, we are interested in determining the cumulative distribution function of the sum of α − µ, κ − µ, and η − µ random variables in the setting of rare event simulations. To this end, we present a simple and efficient importance sampling approach. The main result of this work is the bounded relative error property of the proposed estimators. Capitalizing on this result, we accurately estimate the outage probability of multibranch maximum ratio combining and equal gain diversity receivers over α − µ, κ − µ, and η − µ fading channels. Selected numerical simulations are discussed to show the robustness of our estimators compared to naive Monte Carlo estimators.

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Novel Closed-Form Exact Expressions and Asymptotic Analysis for the Symbol Error Rate of Single- and Multiple-Branch MRC and EGC Receivers Over $\alpha$– $\mu$ Fading

Cited by 25 publications

References 33 publications

GPS availability and positioning issues when the signal paths are aligned with ionospheric plasma bubbles

GPS availability and positioning issues when the signal paths are aligned with ionospheric plasma bubbles

Closed-Form Exact and Asymptotic Expressions for the Symbol Error Rate and Capacity of the -Function Fading Channel

On the Fast and Precise Evaluation of the Outage Probability of Diversity Receivers Over $\alpha -\mu $ , $\kappa -\mu $ , and $\eta -\mu $ Fading Channels

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