Asymptotic performance of LDPC codes in impulsive non-Gaussian channel

Maad, Hassen Ben; Goupil, Alban; Clavier, Laurent; Gellé, Guillaume

doi:10.1109/spawc.2010.5670974

Cited by 8 publications

(8 citation statements)

References 10 publications

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“…as the authors know, only numerical evaluation of some achievable rates have been conducted [4], [5]. In this work, we attempt to partially answer these questions.…”

Section: Introductionmentioning

confidence: 99%

On the capacity of additive white alpha-stable noise channels

Fahs

Abou-Faycal

2012

2012 IEEE International Symposium on Information Theory Proceedings

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Many communication channels are reasonably modeled to be impaired by additive noise. Recent studies suggest that many of these channels are affected by additive noise that is best explained by alpha-stable statistics.We study in this work such channel models and we characterize the capacity-achieving input distribution for those channels under fractional order moment constraints. We prove that the optimal input is necessarily discrete with a compact support for all such channels.Interestingly, if the second moment is viewed as a measure of power, even when the channel input is allowed to have infinite second moment, the optimal one is found to have finite power.

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“…as the authors know, only numerical evaluation of some achievable rates have been conducted [4], [5]. In this work, we attempt to partially answer these questions.…”

Section: Introductionmentioning

confidence: 99%

On the capacity of additive white alpha-stable noise channels

Fahs

Abou-Faycal

2012

2012 IEEE International Symposium on Information Theory Proceedings

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“…As generating α-stable samples is easy [7], a Monte-Carlo method can be used to numerically compute it [4]. Other more general methods may be considered [9] are not necessary for our purpose which is simply to give some reference curves.…”

Section: B Channel Capacitymentioning

confidence: 99%

“…Thus, the input of the LDPC decoder is given by the received word rescaled. Unfortunately, this linear demapper is not suited to the more general case of AISN channels: when α<2, rescaling leads to poor performance [4]. The paper deals mainly with the transformation between the output of the channel and the input of the decoder.…”

Section: Channel-decoder Mappingmentioning

confidence: 99%

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Clipping Demapper for LDPC Decoding in Impulsive Channel

Maad¹,

Goupil²,

Clavier³

et al. 2013

IEEE Commun. Lett.

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Abstract-This paper deals with the performance of LowDensity Parity-Check codes in impulsive interference modeled by α-stable random variables. In case of α-stable noise, the optimal inputs of the belief propagation decoder are complex to obtain. We propose to use the simple clipping approach that reduces the impact of large noise values. Our main contribution is to give three different approaches to obtain the parameters of the clipping function and to assess the performance of the decoder. We show that a look-up table whose values are predetermined, thanks to the Density Evolution tool, is the most efficient approach.

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“…In this section we consider an extension to the model proposed in [42] which develops the concept of an Additive White Symmetric α-stable Noise (AWSαSN) model. In this section we consider extending the analyse they performed to the generalized model developed in this paper.…”

Section: Generalised Snr In Pnsc(α) Interference Modelsmentioning

confidence: 99%

Generalized Interference Models in Doubly Stochastic Poisson Random Fields for Wideband Communications: the PNSC(alpha) model

Peters¹,

Nevat²,

Septier³

et al. 2012

Preprint

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A general stochastic model is developed for the total interference in wideband systems, denoted as the PNSC(α) Interference Model. It allows one to obtain, analytic representations in situations where (a) interferers are distributed according to either a homogeneous or an inhomogeneous in time or space Cox point process and (b) when the frequency bands occupied by each of the unknown number of interferers is also a random variable in the allowable bandwidth. The analytic representations obtained are generalizations of Cox processes to the family of sub-exponential models characterized by distributions from the α-stable family. We develop general parameteric density representations for the interference models via doubly stochastic Poisson mixture representations of Scaled Mixture of Normal's via the Normal-Stable variance mixture. To illustrate members of this class of interference model we also develop two special cases for a moderately impulsive interference (α = 3/2) and a highly impulsive interference (α = 2/3) where closed form representations can be obtained either by the SMiN representation or via function expansions based on the Holtsmark distribution or Whittaker functions. To illustrate the paper we propose expressions for the Capacity of a BPSK system under a PNSC(α) interference, via analytic expressions for the Likelihood Ratio Test staistic.

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Asymptotic performance of LDPC codes in impulsive non-Gaussian channel

Cited by 8 publications

References 10 publications

On the capacity of additive white alpha-stable noise channels

On the capacity of additive white alpha-stable noise channels

Clipping Demapper for LDPC Decoding in Impulsive Channel

Generalized Interference Models in Doubly Stochastic Poisson Random Fields for Wideband Communications: the PNSC(alpha) model

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