Stable Distributions as Noise Models for Molecular Communication

Farsad, Nariman; Guo, Weisi; Chae, Chan-Byoung; Eckford, Andrew W.

doi:10.1109/glocom.2015.7417583

Cited by 43 publications

(3 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The real part K (x, y) of the complex probability function is commonly known as the Voigt function that is widely used in many disciplines of Applied Mathematics [13,14,15], Physics [4,16,17,18,19,20,21,22], Astronomy [23] and Information Technology [24]. Mathematically, the Voigt function K (x, y) represents a convolution integral of the Gaussian and Cauchy distributions [5,16,17].…”

Section: Introductionmentioning

confidence: 99%

A rational approximation of the Dawson’s integral for efficient computation of the complex error function

Abrarov

Quine

2018

Applied Mathematics and Computation

View full text Add to dashboard Cite

In this work we show a rational approximation of the Dawson's integral that can be implemented for high accuracy computation of the complex error function in a rapid algorithm. Specifically, this approach provides accuracy exceeding ∼ 10 −14 in the domain of practical importance 0 ≤ y < 0.1 ∩ |x + iy| ≤ 8. A Matlab code for computation of the complex error function with entire coverage of the complex plane is presented.

show abstract

Section: Introductionmentioning

confidence: 99%

A rational approximation of the Dawson’s integral for efficient computation of the complex error function

Abrarov

Quine

2018

Applied Mathematics and Computation

View full text Add to dashboard Cite

show abstract

“…However, in underwater, wireless communications (15) , signal and image processing (16) , and molecular communications (17) , impulsive noise can arise; impulsive cannot be held using Gaussian models. A key class of these models are the symmetric αstable distributions, which can be viewed as generalizations of zero-mean Gaussian models (α = 2) and preserve stability for independent random variables.…”

Section: Introductionmentioning

confidence: 99%

Performance of Relaying System with NOMA over Symmetric a-Stable Noise Channels

Anwar,

Abass,

Kadhim

2024

IJST

View full text Add to dashboard Cite

Objectives: This paper investigates the performance of a candidate 5G transmission system technique that is Non-Orthogonal Multiple Access (NOMA) over α-stable channels. This type of channel gets more attention in the research community because of its ability to model new IoT scenarios. However, there is a research gap in applying this type of channel to different wireless communications scenarios. In this work, we envision a scenario where users employ NOMA communications in the presence of an obstacle. As our mathematical analysis and simulation results show, there is a significant difference in performance when considering α-stable channels. Methods: To characterize the performance of the proposed noise channel, performance metrics such as outage probability and achievable rate are discussed. More particularly, we derive expressions for both outage probability and achievable rate for three NOMA users, considering the near user as a relay. In this paper, we consider additive symmetric α-stable noise channels with alpha α ∈ (1, 2). We present expressions for achievable rate and outage probability for each user (near, middle, and far) and investigate its behavior for different values of alpha (α). Findings: Based on the simulation results, it is shown that the high achievable rate observed for low alpha values while reduced as alpha is increased. Also, due to the influence of alpha, the outage probability is highly affected by α for small rate thresholds (Ro). In an envisioned scenario of three users with only one user forwarding the transmission to the other two, our results show that the near and middle users’ outage probability decreases as alpha α increases. Novelty: Despite this extensive study of the NOMA on individual channels, transmission under α-stable channel is not considered to the best of the authors’ knowledge. Keywords: NOMA, relaying, Cooperative Non-Orthogonal Multiple Access, Symmetric α-Stable Noise Channels, Achievable rate

show abstract

“…Examples include the Voigt profile, which results from convolving a Cauchy distribution with a Gaussian distribution, with applications in physics [Balzar, 1993, Chen et al, 2015, Pagnini and Mainardi, 2010, Farsad et al, 2015. Similarly, the Slash distribution, [Rogers andTukey, 1972, Alcantara andCysneiros, 2017], is instrumental for simulating heavy-tailed phenomena.…”

Section: Introductionmentioning

confidence: 99%

L'écologie kidnappée

Guille-Escuret

2014

View full text Add to dashboard Cite

Conformal prediction methodologies have significantly advanced the quantification of uncertainties in predictive models. Yet, the construction of confidence regions for model parameters presents a notable challenge, often necessitating stringent assumptions regarding data distribution or merely providing asymptotic guarantees. We introduce a novel approach termed CCR, which employs a combination of conformal prediction intervals for the model outputs to establish confidence regions for model parameters. We present coverage guarantees under minimal assumptions on noise and that is valid in finite sample regime. Our approach is applicable to both split conformal predictions and black-box methodologies including full or crossconformal approaches. In the specific case of linear models, the derived confidence region manifests as the feasible set of a Mixed-Integer Linear Program (MILP), facilitating the deduction of confidence intervals for individual parameters and enabling robust optimization. We empirically compare CCR to recent advancements in challenging settings such as with heteroskedastic and non-Gaussian noise.Preprint. Under review.

show abstract

Stable Distributions as Noise Models for Molecular Communication

Cited by 43 publications

References 27 publications

A rational approximation of the Dawson’s integral for efficient computation of the complex error function

A rational approximation of the Dawson’s integral for efficient computation of the complex error function

Performance of Relaying System with NOMA over Symmetric a-Stable Noise Channels

L'écologie kidnappée

Contact Info

Product

Resources

About