Estimation of Truncation Error in Statistical Description of Communication Signals over mm-Wave Channels

This paper presents an illustration of how knowledge from the field special functions, orthogonal polynomials and numerical series can be applied to solve a very important problem in modern wireless communications. We present formulas for probability density function (PDF) cumulative distribution (CDF) composite signal envelope over mm-Wave channel. The PDF CDF are expressed convergent infinity form. main contribution is estimating upper bounds absolute truncation error evaluating envelope. also derive required number terms summation under condition achieving given accuracy typical values channel parameters. In deriving these formulas, we use alternating estimation theorem, as well some properties order hypergeometric functions. Based on newly derived results presented commented upon. analytical verified by Monte Carlo simulations. essential designing performance fifth-generation (5G) beyond networks.