Generalized \(IK \)-distribution in noise immunity theory

DOI10.1134/s1995080223060410OpenAlexW4387316216MaRDI QIDQ6095170

N. V. Savischenko, Yu. A. Brychkov

Publication date: 12 October 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223060410

zbMATH Keywords

special functionsprobability distribution functionfading\(K\) distributionnoise immunityAppell functionKummer functionGaussian functionHumbert functionOwen function\(IK\) distribution

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Other functions defined by series and integrals (33E20) Applications of hypergeometric functions (33C90)

Cites Work

• Multiple hypergeometric functions in communication theory: Evaluations of error probabilities for four-parameter, \( \kappa{-}\mu\) and \(\eta{-}\mu\) signals distributions in general fading channels
• Some properties of the OwenT-function
• On some formulas for the Appell functionF₂(a, b, b′;c, c′;w; z)
• Special Integral Functions Used in Wireless Communications Theory
• On some formulas for the Appell function F4(a,b;c,c′;w,z)
• A special function of communication theory
• Fading and Shadowing in Wireless Systems
• On the statistics of K-distributed noise
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