A Gram-Charlier Series Method for Calculating General Signal Constellation Error Probabilities

Author

Murphy, David D. ; Murphy, Colin C.

Author_Institution

Dept. Electr. & Electron. Eng., Univ. Coll. Cork, Cork, Ireland

Volume

60

Issue

2

fYear

2012

fDate

2/1/2012 12:00:00 AM

Firstpage

300

Lastpage

305

Abstract

We develop a method for calculating the probability of symbol error, via a multivariate Gram-Charlier series, for arbitrary coherent modulation schemes with statistically independent source symbols and subject to intersymbol interference (ISI) and additive white Gaussian noise (AWGN). The resulting error probability approximations have closed-form solutions and yield very accurate results with very little computational expense.

Keywords

AWGN; approximation theory; intersymbol interference; series (mathematics); statistical analysis; AWGN; Gram-Charlier series method; ISI; additive white Gaussian noise; arbitrary coherent modulation schemes; closed-form solutions; error probability approximations; general signal constellation error probability; intersymbol interference; multivariate Gram-Charlier series; statistically independent source symbols; symbol error probability; Approximation methods; Constellation diagram; Error probability; Interference; Joints; Quadrature amplitude modulation; Receivers; Digital communication; Gaussian noise; error analysis; intersymbol interference; quadrature amplitude modulation;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2011.101011.110193

Filename

6047545