On Gated Gaussian Impulsive Noise in M-QAM with Optimum Receivers

Araújo, É.R.; Queiroz, Wamberto J. L.; Madeiro, Francisco; Lopes, Waslon T. A.; Alencar, Marcelo S.

doi:10.14209/jcis.2015.2

Cited by 9 publications

(22 citation statements)

References 21 publications

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“…The G 2 AWGN model is proposed by Araújo from the observation of the results of the experimental and theoretical studies carried out and disseminated by Rohde & Schwarz and by the Digital Television Group in the United Kingdom, and since then, several works on this subject have been published in the literature. In the work of Araújo and Araújo et al, for example, a mathematical characterization of the binary or multilevel G 2 AWGN model is performed, with the presentation of new exact theoretical expressions for the PDF, autocorrelation function, and power spectral density for eight impulsive noise models. In addition, expressions for the BEP of the digital modulation scheme M ‐QAM with the channel subject to the binary or multilevel G 2 AWGN are also shown.…”

Section: Related Workmentioning

confidence: 99%

“…Araújo et al presented expressions for the BEP of the digital modulation scheme M ‐QAM with the channel subject to the multilevel G 2 AWGN, based on the results by Cho and Yoon, using the maximum a posteriori (MAP) probability criterion. An analysis of impulsive noise in terms of BEP on optimal receivers, incorporating the random occurrence of pulses and bursts of impulsive pulses to the model adopted in the aforementioned work, was presented by Araújo et al…”

Section: Related Workmentioning

confidence: 99%

“…The multilevel G 2 AWGN model, denoted by η ( t ), is given by

η false(t false) = η_{g} false(t false) + C_{1} false(t false) C_{2} false(t false) η_{i} false(t false),

in which the product C 1 ( t ) C 2 ( t ) characterizes the gating process of the noise η i ( t ), defined as impulsive noise, and η g ( t ) and η i ( t ) represent, respectively, complex Gaussian random variables with zero mean and variances

σ_{i}^{2}

and

σ_{g}^{2}

. The signals C 1 ( t ) and C 2 ( t ) in Equation can be written as

C_{1} false(t false) = true \sum_{m = 0}^{m_{1} - 1} c_{1 m} P_{1} false(t - m T_{1} false)

and

C_{2} false(t false) = true \sum_{l = 0}^{m_{2} - 1} c_{2 l} P_{2} false(t - l T_{2} false),

in which the coefficients c 1 k and c 2 k have, respectively, the probability distributions

f_{C_{1} false(t false)} false(c false) = true \sum_{m = 0}^{m_{1} - 1} p_{1 m} δ false(c - c_{1 m} false)

and

f_{C_{2} false(t false)} ...

…”

Section: Communication System Modelmentioning

confidence: 99%

“…In this article, the noise model, named multilevel double gated additive white Gaussian noise (G 2 AWGN), is composed by a sum of a white Gaussian component with variance

σ_{g}^{2}

and a white Gaussian noise component of variance

σ_{i}^{2}

, gated by a discrete random process defined in continuous time, C ( t ), which takes values in a finite discrete set. The aforementioned model is appropriate to encompass impulsive noise with occurrence in pulses and bursts of pulses.…”

Section: Introductionmentioning

confidence: 99%

“…The aforementioned model is appropriate to encompass impulsive noise with occurrence in pulses and bursts of pulses. The multilevel G 2 AWGN model has a symmetrical PDF, which is written as a Gaussian mixture, to characterize noise from multiple sources …”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Bit error probability of the M‐QAM scheme subject to multilevel double gated additive white Gaussian noise and η‐μ, κ‐μ, or α‐μ fading

Silva

Queiroz

Almeida

et al. 2019

Trans Emerging Tel Tech

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This paper presents new and exact expressions for the bit error probability (BEP) of the square M-ary quadrature amplitude modulation scheme subject to -, -or -fading and multilevel double gated additive white Gaussian noise, which is composed by the sum of a white Gaussian component of variance 2 g and a white Gaussian noise component of variance 2 i gated by a discrete random process defined in continuous time, which takes values into a finite discrete set. BEP curves, with and without imperfect channel estimation, corroborated by simulations using the Monte Carlo method, are presented for different values of parameters that characterize mathematically the channel.Trans Emerging Tel Tech. 2019;30:e3682.wileyonlinelibrary.com/journal/ett

show abstract

Section: Related Workmentioning

confidence: 99%

Section: Related Workmentioning

confidence: 99%

“…The multilevel G 2 AWGN model, denoted by η ( t ), is given by

η false(t false) = η_{g} false(t false) + C_{1} false(t false) C_{2} false(t false) η_{i} false(t false),

σ_{i}^{2}

and

σ_{g}^{2}

. The signals C 1 ( t ) and C 2 ( t ) in Equation can be written as

C_{1} false(t false) = true \sum_{m = 0}^{m_{1} - 1} c_{1 m} P_{1} false(t - m T_{1} false)

and

C_{2} false(t false) = true \sum_{l = 0}^{m_{2} - 1} c_{2 l} P_{2} false(t - l T_{2} false),

in which the coefficients c 1 k and c 2 k have, respectively, the probability distributions

f_{C_{1} false(t false)} false(c false) = true \sum_{m = 0}^{m_{1} - 1} p_{1 m} δ false(c - c_{1 m} false)

and

f_{C_{2} false(t false)} ...

…”

Section: Communication System Modelmentioning

confidence: 99%

“…In this article, the noise model, named multilevel double gated additive white Gaussian noise (G 2 AWGN), is composed by a sum of a white Gaussian component with variance