A Simple, Accurate Approximation for the Outage Probability of Equal-Gain Receivers with Cochannel Interference in an alpha-mu Fading Scenario

Moraes, Alexandre Campos; Costa, Daniel Benevides da; Yacoub, M.D.

doi:10.1109/wcnc.2008.15

Cited by 6 publications

(5 citation statements)

References 20 publications

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“…However, in the case where p 0 > p, this expression fails to converge for all values of γ th . It is also important to note that the result in (13) provides a sufficient condition that ensures the convergence of (5) in the case where p 0 = p. In fact, our newly derived formula is valid for all values of γ th that are less than a0 a(N +1) which corresponds to the lower bound in (13). This lower bound can be thought of, up to a constant factor depending on the distribution parameters, as a ratio between the power of the desired user and that of one of the interferers with parameters p and a.…”

Section: A Generalized Gamma Fading Modelmentioning

confidence: 86%

“…Despite considering different fading models, all the aforementioned works consider specific scenarios in order to make the derivations of the OP tractable. In order to handle more complex scenarios, other techniques based on approximation methods [13]- [15] and efficient simulation approaches [16] have been proposed. However, these works are still only applicable for a set of specific scenarios.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Rached

Kammoun

Alouini

et al. 2017

IEEE Trans. Wireless Commun.

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Section: A Generalized Gamma Fading Modelmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

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

Rached

Kammoun

Alouini

et al. 2017

IEEE Trans. Wireless Commun.

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“…The ratio of some of these general variates have been used mainly in the context of co-channel interference and for specific scenarios. For instance, in [14] and [15], the µ parameter is assumed to be integer, whereas in [16] and [17], an outage is found but in an approximate manner. In [18], some fundamental results such as closed-form expressions are obtained in the analysis of co-channel interference for the κ-µ/κ-µ scenario.…”

Section: Introductionmentioning

confidence: 99%

Ratio of Two Envelopes Taken From $\alpha$ -$\mu$ , $\eta$ -$\mu$ , and $\kappa$ -$\mu$ Variates and Some Practical Applications

et al. 2019

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In this paper, new, exact expressions for the probability density functions and the cumulative distribution functions of the ratio of random envelopes involving the α-µ, η-µ, and κ-µ fading distributions are derived. The expressions are obtained in terms of easily computable infinite series and also in terms of the multivariable Fox H-function. Some special cases of these ratios, namely, Hoyt/Hoyt, η-µ/Nakagami-m, κ-µ/Nakagami-m, κ-µ/η-µ with an integer µ for the η-µ variate, η-µ/η-µ with an integer µ for only one of the η-µ, and their reciprocals are found in novel exact closed-form expressions. In addition, simple closed-form expressions for the asymptotes of the probability density functions and cumulative distribution functions of all ratios, both for the lower and upper tails of the distributions are derived. In the same way, asymptotes for the bit error rate on a binary signaling channel are obtained in closed-form expressions. To demonstrate the practical utility of these new formulations, an application example is provided. In particular, the secrecy capacity of a Gaussian wire-tap channel used for device-to-device and vehicle-to-vehicle communications is characterized using data obtained from field measurements conducted at 5.8 GHz.

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“…Applying the inverse Laplace transform in (38) with standard Mathematical procedure, and using the definition of multivariate Fox's H-function, we get the PDF of MRC-RF:…”

Section: Discussionmentioning

confidence: 99%

“…It is desirable to simplify the analysis and reduce the dimension of the Fox's H-function. The authors in [37] have shown that the sum of α-µ variates can be accurately approximated by a single α-µ distribution [38]- [41]. Hence, we use [37] to simplify the statistical performance of the hybrid RF-THz system.…”

Section: Performance Of Mrc-rf and Thzmentioning

confidence: 99%

Performance of Hybrid THz and Multi-Antenna RF System with Diversity Combining

Bhardwaj¹,

Zafaruddin²

2022

Preprint

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Recent studies investigate single-antenna radio frequency (RF) systems mixed with terahertz (THz) wireless communications. This paper considers a two-tier system of THz for backhaul and multiple-antenna assisted RF for the access network. We analyze the system performance by employing both selection combining (SC) and maximal ratio combining (MRC) receivers for the RF link integrated with the THz using the fixed-gain amplify and forward (AF) protocol. We develop the probability density function (PDF) and cumulative distribution function (CDF) of the end-to-end signal-to-noise (SNR) of the dual-hop system over independent and non-identically distributed (i.ni.d.) α-µ fading channels with a statistical model for misalignment errors in the THz wireless link. We use the derived statistical results to develop analytical expressions of the outage probability, average bit error rate (BER), and ergodic capacity for the performance assessment of the considered system. We develop diversity order of the system using asymptotic analysis in the high SNR region, demonstrating the scaling of system performance with the number of antennas. We use computer simulations to show the effect of system and channel parameters on the performance of the hybrid THz-RF link with multiantenna diversity schemes.

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A Simple, Accurate Approximation for the Outage Probability of Equal-Gain Receivers with Cochannel Interference in an alpha-mu Fading Scenario

Cited by 6 publications

References 20 publications

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

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

Ratio of Two Envelopes Taken From $\alpha$ -$\mu$ , $\eta$ -$\mu$ , and $\kappa$ -$\mu$ Variates and Some Practical Applications

Performance of Hybrid THz and Multi-Antenna RF System with Diversity Combining

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