Outage Analysis of Cooperative OFDM Systems with Nonlinear Amplifiers and Relay Selection

Fernandes, Carlos Alexandre Rolim; Costa, Daniel Benevides da; Almeida, André L. F. de

doi:10.14209/sbrt.2012.140

Cited by 7 publications

(7 citation statements)

References 10 publications

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“…The rate of improvement is more when N increases from 1 to 2; however, the rate of improvement decreases when N increases from 2 to 4 and beyond. Moreover, impact of the NLPA becomes more significant when η t h goes beyond the

{\overset{η}{true}}^{p a}

because outage probability curves overlap with each other for various values of N and hence, no gain is achieved with relay selection as also observed in Fernandes et al…”

Section: Theoretical and Simulation Resultsmentioning

confidence: 56%

“…Further,

{normalη}_{k}^{s r d}

can be written as

{normalη}_{k}^{s r d} = \frac{false| H_{k}^{r d} H_{M_{n}}^{s r} |^{2} G_{k}^{2} false| C_{0} |^{2} P_{s}}{σ_{v}^{2} ((), 1 + false| H_{k}^{r d} |^{2} false| C_{0} |^{2} G_{k}^{2}) + false| H_{k}^{r d} |^{2} σ_{d}^{2}} .

From Fernandes et al, can be modified as

{normalη}_{k}^{s r d} = \frac{η_{M_{n}}^{s r} η_{k}^{p a} η_{k}^{r d}}{η_{M_{n}}^{s r} η_{k}^{p a} + η_{k}^{p a} η_{k}^{r d} + η_{M_{n}}^{s r} η_{k}^{r d} + η_{k}^{p a} + η_{k}^{r d}},

where

{normalη}_{M_{n}}^{s r} = P_{s} false| H_{M_{n}}^{s r} |^{2} false/ {normalσ}_{v}^{2}

{normalη}_{k}^{r d} = P_{r} false| H_{k}^{r}

…”

Section: System Modelmentioning

confidence: 99%

“…Further, performance of a multiple relay cooperative communication system over Weibull fading channel with SC at the receiver is derived and analyzed in Kumar et al On the other hand, performance of a multiple relay cooperative DF network with selective relaying over inid Nakagami‐ n and Nakagami‐ q fading channels is analyzed in Soleimani‐Nasab et al However, NLD introduced by PA is not considered in previous studies() for analysis, and only few papers() have been published in the literature, focusing on the impact of NLD of the PA on the performance of multiple relay cooperative communication systems. In Fernandes et al, closed‐form expression for the outage probability is derived for multiple relay cooperative AF OFDM system with best relay selection over Rayleigh distributed channel in the presence of NLPA at the relay node. However, outage probability expression for a cooperative AF multiple relay system with relay selection using clipped OFDM transmission at the source is presented in Eddaghel et al, where impact of number of relays and various clipping ratios is observed on the derived results.…”

Section: Introductionmentioning

confidence: 99%

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Performance analysis of AF OFDM system using multiple relay in presence of nonlinear‐PA over inid Nakagami‐m fading

Singya

Kumar

Bhatia

2017

Int J Communication

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SummaryIn this paper, performance of an orthogonal frequency division multiplexing-based variable-gain amplify and forward cooperative system using multiple relay with relay selection is analyzed over independent but not necessarily identically distributed frequency selective Nakagami-m fading channels. For the analysis, nonlinear power amplifier is considered at the relay, and selection combining is adopted at destination node. Closed-form expressions of the outage probability for various threshold signal-to-noise ratio (SNR) values and average symbol error rate for M-ary quadrature amplitude modulation techniques are derived for the considered system. Further, the outage probability analysis is performed in high SNR regime to obtain the diversity order. Furthermore, impact of different fading parameters, multiple relay, and nonlinear power amplifier is highlighted on the outage probability and asymptotic outage probability for various threshold SNRs and on the average symbol error rate for various quadrature amplitude modulation constellations. The derived analytical expressions are generalized for various fading environments while considering the integer-valued fading parameters. Finally, all the analytical results are verified through the Monte Carlo simulations for various SNR levels and system configurations.

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{\overset{η}{true}}^{p a}

because outage probability curves overlap with each other for various values of N and hence, no gain is achieved with relay selection as also observed in Fernandes et al…”

Section: Theoretical and Simulation Resultsmentioning

confidence: 56%

“…Further,

{normalη}_{k}^{s r d}

can be written as

{normalη}_{k}^{s r d} = \frac{false| H_{k}^{r d} H_{M_{n}}^{s r} |^{2} G_{k}^{2} false| C_{0} |^{2} P_{s}}{σ_{v}^{2} ((), 1 + false| H_{k}^{r d} |^{2} false| C_{0} |^{2} G_{k}^{2}) + false| H_{k}^{r d} |^{2} σ_{d}^{2}} .

From Fernandes et al, can be modified as

{normalη}_{k}^{s r d} = \frac{η_{M_{n}}^{s r} η_{k}^{p a} η_{k}^{r d}}{η_{M_{n}}^{s r} η_{k}^{p a} + η_{k}^{p a} η_{k}^{r d} + η_{M_{n}}^{s r} η_{k}^{r d} + η_{k}^{p a} + η_{k}^{r d}},

where

{normalη}_{M_{n}}^{s r} = P_{s} false| H_{M_{n}}^{s r} |^{2} false/ {normalσ}_{v}^{2}

{normalη}_{k}^{r d} = P_{r} false| H_{k}^{r}

…”

Section: System Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Performance analysis of AF OFDM system using multiple relay in presence of nonlinear‐PA over inid Nakagami‐m fading

Singya

Kumar

Bhatia

2017

Int J Communication

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“…Some results of this work have been preliminarily presented in [21,22]. In [21], a preliminary outage analysis of an AF cooperative non-linear OFDM system with a maximal-ratio combining (MRC) receiver is developed.…”

Section: Introductionmentioning

confidence: 99%

“…In [21], a preliminary outage analysis of an AF cooperative non-linear OFDM system with a maximal-ratio combining (MRC) receiver is developed. In [22], the results of [21] are extended to case where a relay selection is performed, assuming that the source-relay links under frequency flat fading. In this work, we extend the analysis of [21,22] by providing a complete theoretical performance analysis under several system configurations.…”

Section: Introductionmentioning

confidence: 99%

Performance analysis of cooperative amplify‐and‐forward orthogonal frequency division multiplexing systems with power amplifier non‐linearity

Fernandes

Costa

Almeida³

2014

IET Communications

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Orthogonal frequency division multiplexing (OFDM) is considered as a key technology for future wireless communication systems. One of the main disadvantages of OFDM systems is the high peak-to-average power ratio (PAPR) of the transmitted signals. When a non-linear power amplifier (PA) is present, the high PAPR may cause the introduction of non-linear distortions. On the other hand, cooperative communications have emerged as a promising technology for wireless networks. A theoretical analysis of an amplify-and-forward OFDM system taking into consideration the non-linear distortions introduced by a PA is done. More specifically, approximate analytical expressions for the outage probability and average symbol error rate (SER) are derived and studied under several special situations. The performance analysis sheds light on the influence of PA non-linearity on the outage probability and the average SER of an OFDM system. Particularly, it is shown that the non-linear PA has a more significant effect over the average SER for medium and high signal-to-noise ratio (SNR) values and for small-order constellations. The analytical results are validated by means of computer simulations for different system configurations and SNR levels.

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Performance analysis of OFDM based AF cooperative systems in selection combining receiver over Nakagami‐m fading channels with nonlinear power amplifier

Kumar

Bhatia

2016

Int J Communication

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Summary In this paper, performance analysis of orthogonal frequency division multiplexing (OFDM) based amplify‐and‐forward (AF) cooperative relaying network with selection combining (SC) scheme over independently but not necessarily identically distributed (i.n.i.d.) frequency selective Nakagami‐m fading channels is investigated. Theoretical analysis of closed‐form expressions for outage probability and average symbol error rate (ASER) have been proposed, while considering nonlinear distortions (NLD) introduced by nonlinear power amplifier (NLPA) at the relay node. Asymptotic behavior of outage probability is also analyzed in high signal‐to‐noise ratio (SNR) regime to evaluate the diversity order of the system under several conditions. Further, impacts of fading parameter and NLD are highlighted on the outage probability, ASER and the diversity order of the system under different situations. The derived theoretical results are compared with Monte' Carlo simulations and verify the correctness of theoretical results for different system configurations and SNR levels. The derived expressions are generalized, and hence, can be easily used for analysis over variety of fading environments. Copyright © 2016 John Wiley & Sons, Ltd.

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Outage Analysis of Cooperative OFDM Systems with Nonlinear Amplifiers and Relay Selection

Cited by 7 publications

References 10 publications

Performance analysis of AF OFDM system using multiple relay in presence of nonlinear‐PA over inid Nakagami‐m fading

Performance analysis of AF OFDM system using multiple relay in presence of nonlinear‐PA over inid Nakagami‐m fading

Performance analysis of cooperative amplify‐and‐forward orthogonal frequency division multiplexing systems with power amplifier non‐linearity

Performance analysis of OFDM based AF cooperative systems in selection combining receiver over Nakagami‐m fading channels with nonlinear power amplifier

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