Performance analysis of multi-hop cooperative relay networks over generalized-K fading channels

Lateef, Hafiz Yasar; Ghogho, Mounir; McLernon, Des

doi:10.1109/ausctw.2011.5728740

Cited by 14 publications

(11 citation statements)

References 25 publications

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“…The Generalized-K (GK) fading model was proposed in [1] to approximate the composite fading channel (small-scale fading plus large-scale fading). Some important metrics, such as outage probability and ergodic capacity, were analyzed in [1]- [3]. However, as there is a modified Bessel function of the second kind in the probability density function (PDF) of the GK fading model, it is usually difficult to derive the closed-form expressions for some important metrics in more complicated models.…”

Section: Introductionmentioning

confidence: 99%

A Simple Evaluation for the Secrecy Outage Probability Over Generalized-K Fading Channels

et al. 2019

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A simple approximation for the secrecy outage probability (SOP) over generalized-K fading channels is developed. This approximation becomes tighter as the average signal-tonoise ratio (SNR) of the wiretap channel decreases. Based on this simple expression, we also analyze the asymptotic SOP in the high SNR region of the main channel. Besides simplifying the SOP expression significantly, this asymptotic SOP expression reveals the secrecy diversity order in a general case. Numerical results demonstrate the high accuracy of our proposed approximation results.Index Terms-Asymptotic analysis, generalized-K fading channels, physical layer security, and secrecy outage probability.

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Section: Introductionmentioning

confidence: 99%

A Simple Evaluation for the Secrecy Outage Probability Over Generalized-K Fading Channels

et al. 2019

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“…1) In the single DF relay case, closed-form expressions for SOP and ESC are derived with very high accuracy by using an approximate PDF of the GK model proposed by [16], [17], where the Meijer's G-function is not involved, and the corresponding error between the approximate and exact results decreases with the number of summation terms in the approximate PDF increasing; 2) Due to the high complexity of the derived expressions for SOP and ESC in the single relay case, an asymptotic analysis is investigated in high SNRs to get some insights, where we derive ASOP and AESC, as well as AOP and asymptotic EC (AEC) of the source-relaydestination link. The asymptotic expressions for AOP and ASOP show that the diversity order is min{m, k}, rather than m proposed by [25]; 3) Compared with [12] and [25], the expressions for AOP and ASOP in the investigated single DF relay system are also derived when m = k in the GK parameter setting. From the expressions for AOP and ASOP, we find that the diversity order is m (or k) in the m = k case, although AOP and ASOP are not linear functions with respect to the average SNR in the log-scale; 4) By referring to [21], the ASOP in the secure multirelay system is analyzed, where three relay selection schemes are proposed.…”

Section: Introductionmentioning

confidence: 95%

“…Sequentially, [10], [11] investigated the outage probability (OP) and ergodic capacity (EC) under different power adaptive methods based on the work [9]. The cooperative multi-hop relay system over GK fading channels was studied in [12], and the corresponding closed-form expression for the asymptotic OP (AOP) was derived in the high signal-to-noise ratio (SNR) region, which shows the diversity order and array gain. However, in the GK model parameter setting of k = m case, there was no asymptotic expression for the OP in [12], limiting the application range of the AOP.…”

Section: Introductionmentioning

confidence: 99%

Secrecy Analysis in DF Relay Over Generalized-$K$ Fading Channels

Zhao

Liu

Yang

et al. 2019

IEEE Trans. Commun.

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In this paper, we analyze the secrecy performance of the decode-and-forward (DF) relay system in generalized-K fading channels. In a typical four-node communications model, a source (S) sends confidential information to a destination (D) via a relay (R) using DF strategy in two time slots, while an eavesdropper (E) wants to overhear the information from S to D over generalized-K fading channels. To be more realistic, we assume that E can receive the signals of two time slots, and there is no direct link between S and D because of heavy fading. Based on those assumptions, we derive closed-form expressions for the secrecy outage probability (SOP) and ergodic secrecy capacity (ESC) by using a tight approximate probability density function of the generalized-K model. Then, asymptotic expressions for the SOP and ESC are also derived in the high signal-to-noise ratio region, not only because we can get some insights about SOP and ESC, but also because expressions for SOP and ESC can be simplified significantly. The single relay system is subsequently extended into a multi-relay system, where the asymptotic SOP analysis of three proposed relay selection strategies is investigated. Further, the security-reliability tradeoff analysis in the multi-relay system is also presented given that S adopts a constant code rate. Finally, the Monte-Carlo simulation is used to demonstrate the accuracy of the derived closed-form expressions.

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“…An approximate product pdf expression for various identical distributions is derived in [ 7 ], and good accuracy is achieved in comparison to exact expression by incorporating approximation to the transform integral. Using approximations for the exponential moment generating function, BER expressions are derived in [ 8 ] for the product of K-function distributions. The product pdf for Weibull distribution in [ 9 ] uses central limit theorem to the logarithm of a product of a large number of RVs, where the basic Weibull pdf is used instead of the generic Weibull pdf that is considered in our proposed work.…”

Section: Related Workmentioning

confidence: 99%

Analysis and Modeling of Realistic Compound Channels in Transparent Relay Transmissions

Kanjirathumkal

Mohammed

Jacob

2014

The Scientific World Journal

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Analytical approaches for the characterisation of the compound channels in transparent multihop relay transmissions over independent fading channels are considered in this paper. Compound channels with homogeneous links are considered first. Using Mellin transform technique, exact expressions are derived for the moments of cascaded Weibull distributions. Subsequently, two performance metrics, namely, coefficient of variation and amount of fade, are derived using the computed moments. These metrics quantify the possible variations in the channel gain and signal to noise ratio from their respective average values and can be used to characterise the achievable receiver performance. This approach is suitable for analysing more realistic compound channel models for scattering density variations of the environment, experienced in multihop relay transmissions. The performance metrics for such heterogeneous compound channels having distinct distribution in each hop are computed and compared with those having identical constituent component distributions. The moments and the coefficient of variation computed are then used to develop computationally efficient estimators for the distribution parameters and the optimal hop count. The metrics and estimators proposed are complemented with numerical and simulation results to demonstrate the impact of the accuracy of the approaches.

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Performance analysis of multi-hop cooperative relay networks over generalized-K fading channels

Cited by 14 publications

References 25 publications

A Simple Evaluation for the Secrecy Outage Probability Over Generalized-K Fading Channels

A Simple Evaluation for the Secrecy Outage Probability Over Generalized-K Fading Channels

Secrecy Analysis in DF Relay Over Generalized-$K$ Fading Channels

Analysis and Modeling of Realistic Compound Channels in Transparent Relay Transmissions

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