On the statistics of the Nakagami-m signal

Author

Yacoub, Michel D. ; Vargas B., J.E. ; De R.Guedes, L.G.

Author_Institution

DECOM, Univ. de Campinas, Brazil

Volume

2

fYear

1998

fDate

9-13 Aug 1998

Firstpage

377

Abstract

This paper proposes a fading model that leads to a formal, but simple, method to obtain the exact formula of the Nakagami-m distribution for m=n/2, n a non-zero integer number. Based on such a model the joint distribution of the envelope and its time derivative is accomplished and exact formulas for the level crossing rate (closed-form formula) and for the average fade duration are derived. Simulation curves and exact formulas are checked against each other and a perfect agreement between them is attained. Although derived for discrete values of m (m being an integer multiple of ½) there are no mathematical constraints for these expressions to be used for any real value m⩾½

Keywords

fading channels; mobile radio; statistical analysis; Nakagami-m distribution; Nakagami-m signal; average fade duration; closed-form formula; envelope; fading model; joint distribution; level crossing rate; mobile radio; simulation curves; statistics; time derivative; Curve fitting; Fading; Hafnium; Higher order statistics; Inspection; Land mobile radio; Nakagami distribution; Probability density function; Root mean square; Statistical distributions;

fLanguage

English

Publisher

ieee

Conference_Titel

Telecommunications Symposium, 1998. ITS '98 Proceedings. SBT/IEEE International

Conference_Location

Sao Paulo

Print_ISBN

0-7803-5030-8

Type

conf

DOI

10.1109/ITS.1998.718421

Filename

718421