Outage analysis of a variable-gain amplify and forward relayed mixed RF-FSO system

Khanna, Himanshu; Aggarwal, Mona; Ahuja, Swaran

doi:10.1109/indicon.2016.7839140

Cited by 8 publications

(9 citation statements)

References 32 publications

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“…The probability density function (pdf) and the cumulative distribution function (CDF) of the instantaneous electrical SNR, ie, Υ S R , for the S R link, which is generalized‐ K distributed, can be written in terms of Meijer's G ‐function (eq. (8.2.1) in the work of Prudnikov et al) and is given in the works of Khanna et al() as

f_{Υ_{S R}} false(γ false) = \frac{A_{o}}{γ} G_{0, 2}^{2, 0} ((), normalΞ γ (|, \frac{0}{-})),

and

F_{Υ_{S R}} false(γ false) = A_{o} G_{1, 3}^{2, 1} ((), normalΞ γ (|, \frac{0}{1})),

respectively, where

A_{o} = \frac{1}{normalΓ false(k false) normalΓ false(m false)}

normalΞ = \frac{k m}{Ω_{S R}}

, with k and m being the distribution shaping parameters, Ω S R is the average electrical SNR for the S R link, Γ( n ) is the gamma function defined as

normalΓ false(n false) = \int_{0}^{\infty} t^{n - 1} \exp false(- t false) d t

, and

G_{i_{3}, i_{4}}^{i_{1}, i_{2}} false(. false| . false)

is the Meijer's G ‐function. Furthermore, the relay to destination FSO link that is affected by path loss (attenuation), atmospheric turbulence, and misalignment fading has the CDF of the SNR Υ R D , given by Aggarwal et al as

F_{Υ_{R D}} false(γ false) = \frac{ξ^{2}}{normalΓ false(α <...>}

…”

Section: System Modelmentioning

confidence: 99%

“…Furthermore,

P false(Υ_{S R} > γ_{th} false) = 1 - P false(Υ_{S R} < γ_{th} false) = 1 - F_{Υ_{S R}} false(γ_{th} false)

, where

F_{Υ_{S R}} false(γ_{th} false)

is derived in with γ replaced by γ th . Hence, we can rewrite as

P_{o u t - HDAF} = ([], 1 - F_{Υ_{S R}} false(γ_{th} false)) P_{o u t - DF}^{1} + F_{Υ_{S R}} false(γ_{th} false) \times P_{o u t - AF} .

The probability of outage for the variable‐gain AF relayed mixed RF‐FSO link, ie, P o u t −AF , has been derived in the work of Khanna et al and is given as

P_{o u t - AF} = 1 - {scriptA}_{o}^{1} S ([], \begin{matrix} center \\ array [\begin{matrix} 0 & 0 \\ 1 & 0 \end{matrix}] \\ array (\begin{matrix} 0 & 3 \\ 0 & 0 \end{matrix}) \\ array (\begin{matrix} 0 & 7 \\ 2 & 0 \end{matrix}) \end{matrix} (||, \begin{matrix} center \\ array 0; - \\ array \\ array -; c_{1} \\ array \\ array c_{2}; c_{3} \end{matrix}) \begin{matrix} center \\ array Ξ γ_{th} \\ arra... \end{matrix})

…”

Section: The Exact Performance Evaluationmentioning

confidence: 99%

“…The influence of pointing error impairments on the capacity and error performance of mixed RF‐FSO systems was further analyzed in the work of Ansari et al Since then, mixed RF‐FSO systems have been extensively researched (see related works()). In the works of Khanna et al,() the performance of a variable‐gain AF relayed mixed RF‐FSO system having a generalized‐ K ( G K ) distributed RF channel() and a gamma‐gamma distributed FSO channel was analyzed. The end‐to‐end performance of a DF relay‐assisted mixed RF‐FSO link that has a G K faded RF link and a G G distributed FSO link was analyzed by Khanna et al However, the FSO links experience several channel impairments such as path loss, atmospheric turbulence, and pointing error‐induced misalignment fading.…”

Section: Introductionmentioning

confidence: 99%

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Further results on the performance improvement in mixed RF‐FSO systems using hybrid DF/AF (HDAF) relaying

Khanna

Aggarwal

Ahuja

2018

Trans Emerging Tel Tech

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This paper presents the performance of a dual‐hop mixed radio frequency (RF)‐free space optical (FSO) system employing a hybrid‐decode/amplify‐and‐forward (HDAF) relaying protocol. The RF link forms the first hop and the FSO link is the second hop for the proposed system model. The assumption of the absence of the direct FSO and RF link between the source transmitter and the destination receiver ends is made for the analysis. The RF link is affected by short‐term multipath fading and long‐term shadowing phenomena and is characterized by the generalized‐K fading distribution, whereas the FSO link is modeled by the gamma‐gamma fading, representing moderate to strong turbulence scenarios. We assume pointing error‐induced misalignment fading to be significantly present over the FSO link. We analyze the outage probability for the system employing amplify‐and‐forward, decode‐and‐forward, and HDAF relaying protocols and show the benefits of using HDAF relaying in mixed RF‐FSO systems. The optimum relay position that results in the best outage performance is investigated. Furthermore, the bit error rate performance for a q‐ary phase shift keying (q‐PSK) modulated signal and the channel capacity for the proposed system employing HDAF relaying protocol are also evaluated. The expressions in closed form for the outage probability, bit error rate, and channel capacity are derived. The asymptotic outage and error performance at high signal‐to‐noise ratio is also evaluated. Furthermore, the performance of the system is demonstrated by numerical plots.

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f_{Υ_{S R}} false(γ false) = \frac{A_{o}}{γ} G_{0, 2}^{2, 0} ((), normalΞ γ (|, \frac{0}{-})),

and

F_{Υ_{S R}} false(γ false) = A_{o} G_{1, 3}^{2, 1} ((), normalΞ γ (|, \frac{0}{1})),

respectively, where

A_{o} = \frac{1}{normalΓ false(k false) normalΓ false(m false)}

normalΞ = \frac{k m}{Ω_{S R}}

, with k and m being the distribution shaping parameters, Ω S R is the average electrical SNR for the S R link, Γ( n ) is the gamma function defined as

normalΓ false(n false) = \int_{0}^{\infty} t^{n - 1} \exp false(- t false) d t

, and

G_{i_{3}, i_{4}}^{i_{1}, i_{2}} false(. false| . false)

F_{Υ_{R D}} false(γ false) = \frac{ξ^{2}}{normalΓ false(α <...>}

…”

Section: System Modelmentioning

confidence: 99%

“…Furthermore,

P false(Υ_{S R} > γ_{th} false) = 1 - P false(Υ_{S R} < γ_{th} false) = 1 - F_{Υ_{S R}} false(γ_{th} false)

, where

F_{Υ_{S R}} false(γ_{th} false)

is derived in with γ replaced by γ th . Hence, we can rewrite as

P_{o u t - HDAF} = ([], 1 - F_{Υ_{S R}} false(γ_{th} false)) P_{o u t - DF}^{1} + F_{Υ_{S R}} false(γ_{th} false) \times P_{o u t - AF} .

The probability of outage for the variable‐gain AF relayed mixed RF‐FSO link, ie, P o u t −AF , has been derived in the work of Khanna et al and is given as

P_{o u t - AF} = 1 - {scriptA}_{o}^{1} S ([], \begin{matrix} center \\ array [\begin{matrix} 0 & 0 \\ 1 & 0 \end{matrix}] \\ array (\begin{matrix} 0 & 3 \\ 0 & 0 \end{matrix}) \\ array (\begin{matrix} 0 & 7 \\ 2 & 0 \end{matrix}) \end{matrix} (||, \begin{matrix} center \\ array 0; - \\ array \\ array -; c_{1} \\ array \\ array c_{2}; c_{3} \end{matrix}) \begin{matrix} center \\ array Ξ γ_{th} \\ arra... \end{matrix})

…”

Section: The Exact Performance Evaluationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Further results on the performance improvement in mixed RF‐FSO systems using hybrid DF/AF (HDAF) relaying

Khanna

Aggarwal

Ahuja

2018

Trans Emerging Tel Tech

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“…RF link -The source to relay link (SR), ie, an RF channel, is modeled by the generalized-K distribution with the probability density function (pdf) and the CDF of the instantaneous electrical instantaneous electrical SNR, SR , respectively, given in Khanna et al 22 in terms of Meijer's G-function, 23, eq 8.2.1 as…”

Section: Figurementioning

confidence: 99%

Performance analysis of a variable‐gain amplify‐and‐forward relayed mixed RF‐FSO system

Khanna

Aggarwal

Ahuja

2017

Int J Communication

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SummaryIn this work, an amplify-and-forward variable-gain relayed mixed RF-FSO system is studied. The considered dual-hop system consists of a radio frequency (RF) link followed by a free space optical (FSO) channel. The RF link is affected by short-term multipath fading and long-term shadowing effects and is assumed to follow the generalized-K fading distribution that approximates accurately several important distributions often used to model communication channels.The FSO channel experiences fading caused by atmospheric turbulence that is modeled by the gamma-gamma distribution characterizing moderate and strong turbulence conditions. The FSO channel also suffers path loss and pointing error induced misalignment fading. The performance of the considered system is analyzed under the collective influence of distribution shaping parameters, pointing errors that result in misalignment fading, atmospheric turbulence, and path loss. The moment-generating function of the Signal power to noise power ratio measured end-to-end for this system is derived. The cumulative distribution function for the Signal power to noise power ratio present between the source and destination receiver is also evaluated. Further, we investigate the error and outage performance and the average channel capacity for this system. The analytical expressions in closed form for the outage probability, symbol and bit error rate considering different modulation schemes and channel capacity are also derived. The mathematical expressions obtained are also demonstrated by numerical plots. KEYWORDSchannel capacity, fading, free space optical communication, probability of outage, radio frequency communication, symbol error rate

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“…A number of research works have investigated the hybrid RF/FSO system with the variablegain dual-hop AF relay system [13], [14], [15]. In [13], the outage probability (OP) and the average bit error rate (BER) performance of the hybrid RF/FSO system with the fixed-gain AF relay and CSI-assisted AF relay schemes were investigated.…”

Section: Introductionmentioning

confidence: 99%

On the performance of a mixed RF/MIMO FSO variable gain dual-hop transmission system

Han

Jiang

You

et al. 2018

Optics Communications

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In this work, we propose a mixed radio frequency (RF) and multiple-input-multiple-output (MIMO) free-space optical (FSO) system based on a variable-gain dual-hop relay transmission scheme. The RF channel is modeled by Rayleigh distribution and Gamma-Gamma turbulence distribution is adopted for the MIMO FSO link, which accounts for the equal gain combining diversity technique. Moreover, new closed-form mathematical formulas are obtained including the cumulative distribution function, probability density function, moment generating function, and moments of equivalent signal-to-noise ratio of the dual-hop relay system based on Meijer's G function. As such, we derive the novel analytical expressions of the outage probability, the higher-order fading, and the average bit error rate for a range of modulations in terms of Meijer's G function. Furthermore, the exact closed-form formula of the ergodic capacity is derived based on the bivariate Meijer's G function. The evaluation and simulation are provided for system performance, and the effect of spatial diversity technique is discussed as well.

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Outage analysis of a variable-gain amplify and forward relayed mixed RF-FSO system

Cited by 8 publications

References 32 publications

Further results on the performance improvement in mixed RF‐FSO systems using hybrid DF/AF (HDAF) relaying

Further results on the performance improvement in mixed RF‐FSO systems using hybrid DF/AF (HDAF) relaying

Performance analysis of a variable‐gain amplify‐and‐forward relayed mixed RF‐FSO system

On the performance of a mixed RF/MIMO FSO variable gain dual-hop transmission system

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