On the computation of moments of the partial non-central chi-squared distribution function

TL;DR

This paper discusses properties and computational methods for moments of the partial non-central chi-squared distribution, also known as Nuttall Q-functions, which are relevant in digital communications and other fields.

Contribution

It provides a detailed analysis of properties and introduces methods for computing moments of the Nuttall Q-functions, enhancing understanding and calculation techniques.

Findings

Properties of moments are characterized.

Methods for computing moments are proposed.

Applications in digital communications are highlighted.

Abstract

Properties satisfied by the moments of the partial non-central chi-square distribution function, also known as Nuttall Q-functions, and methods for computing these moments are discussed in this paper. The Nuttall Q-function is involved in the study of a variety of problems in different fields, as for example digital communications.