Performance analysis of M-PSK, DE-M-PSK and M-QAM with dual-branch coherent equal-gain and maximal-ratio combining in correlated Nakagami-m fading

Author

Iskander, Cyril-Daniel ; Mathiopoulos, P. Takis

Author_Institution

Dept. of Electr. & Comput. Eng., British Columbia Univ., Canada

Volume

3

fYear

2003

fDate

4-7 May 2003

Firstpage

1683

Abstract

We derive the exact theoretical symbol error rate (SER) of M-ary phase-shift keying (M-PSK), differentially encoded M-ary PSK (DE-M-PSK) and M-ary quadrature amplitude modulation (M-QAM), for EGC with two correlated diversity branches in Nakagami-m fading. The starting point is the derivation of the probability density function (pdf) of the sum of two correlated Nakagami-m variables, for which no closed-form expression was previously available in the communications literature. Several novel expressions are then obtained, either in the form of a single-dimensional integral, or in closed-form as infinite series summations. Some closed-form solutions for the SER of dual-branch MRC can also be derived by using an alternative expression for the pdf of the sum of the squares of two correlated Nakagami-m variables.

Keywords

differential phase shift keying; diversity reception; error statistics; fading channels; modulation coding; quadrature amplitude modulation; M-PSK; M-QAM; M-ary phase-shift keying; M-ary quadrature amplitude modulation; closed-form solutions; coherent equal-gain combining; correlated Nakagami-m fading; differentially encoded M-ary PSK; dual-branch maximal-ratio combining; probability density function; single-dimensional integral; symbol error rate; Binary phase shift keying; Closed-form solution; Diversity methods; Diversity reception; Error analysis; Fading; Land mobile radio; Phase estimation; Phase shift keying; Probability density function;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering, 2003. IEEE CCECE 2003. Canadian Conference on

ISSN

0840-7789

Print_ISBN

0-7803-7781-8

Type

conf

DOI

10.1109/CCECE.2003.1226233

Filename

1226233