Gaussian Class Multivariate alpha - mu Distribution: Theory and Applications over Correlated Fading Channels

Author

Ghareeb, Ibrahim ; Atiani, Amani

Author_Institution

Dept. of Electr. Eng., Jordan Univ. of Sci. & Technol., Irbid, Jordan

fYear

2014

fDate

14-17 Sept. 2014

Firstpage

1

Lastpage

5

Abstract

Novel expressions for the multivariate probability density function (PDF), cumulative distribution function (CDF) and moment generating function (MGF) of arbitrarily correlated and unbalanced α - μ fading channels are derived. The derived expressions are expressed in terms of well known functions which are available in common mathematical software. The new results are then used to derive the MGF of the signal-to-noise ratio (SNR) at the equal gain combiner (EGC) output. For such a scenario, the derived MGF of the SNR at the EGC output is used directly to evaluate the average bit error probability for differential quadrature phase shift keying (DQPSK) signals, with postdetection diversity reception and combining over additive white Gaussian noise and slow nonselective arbitrarily correlated and unbalanced α - μ fading channels.

Keywords

AWGN; differential phase shift keying; diversity reception; error statistics; fading channels; quadrature phase shift keying; CDF; DQPSK signals; EGC output; MGF; PDF; SNR; additive white Gaussian noise; average bit error probability; cumulative distribution function; differential quadrature phase shift keying signals; equal gain combiner output; fading channels; moment generating function; multivariate probability density function; postdetection diversity reception; signal-to-noise ratio; Correlation; Diversity reception; Error probability; Fading; Joints; Signal to noise ratio; Wireless communication;

fLanguage

English

Publisher

ieee

Conference_Titel

Vehicular Technology Conference (VTC Fall), 2014 IEEE 80th

Conference_Location

Vancouver, BC

Type

conf

DOI

10.1109/VTCFall.2014.6965993

Filename

6965993