Title :
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
fDate :
2/1/2012 12:00:00 AM
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;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2011.101011.110193
