The second order statistics of a two-branch MRC with power unbalanced Nakagami distributed branches

Author

Ivanis, Predrag ; Blagojevic, Vesna ; Drajic, Dusan ; Vucetic, Branka

Author_Institution

Fac. of Electr. Eng., Univ. of Belgrade, Belgrade, Serbia

Volume

2

fYear

2011

fDate

5-8 Oct. 2011

Firstpage

455

Lastpage

458

Abstract

In this paper, the exact expressions for the second order statistics of the maximum ratio combiner (MRC) output for Nakagami fading channel are derived. The joint characteristic function (CF) for the MRC output and its time derivative is derived, and applied to obtain the level crossing rate (LCR) expression for the case of independent but unbalanced diversity branches, with unequal fading parameters. For the special case of two-branch diversity, the LCR expressions are derived in closed form. The exact closed-form expression for the autocorrelation function (ACF) of the MRC output is derived for an arbitrary number of diversity branches. The analytical results are validated by simulations.

Keywords

Nakagami channels; diversity reception; statistical analysis; ACF; LCR expression; Nakagami fading channel; autocorrelation function; characteristic function; level crossing rate expression; maximum ratio combiner; power-unbalanced Nakagami distributed branches; second-order statistics; two-branch MRC; two-branch diversity; unbalanced diversity branches; Correlation; Diversity reception; Joints; Manganese; Nakagami distribution; Rayleigh channels; Autocorrelation function; Nakagami fading; level crossing rate; maximum ratio combining; unbalanced branches;

fLanguage

English

Publisher

ieee

Conference_Titel

Telecommunication in Modern Satellite Cable and Broadcasting Services (TELSIKS), 2011 10th International Conference on

Conference_Location

Nis

Print_ISBN

978-1-4577-2018-5

Type

conf

DOI

10.1109/TELSKS.2011.6143242

Filename

6143242