An improved approximation for the Gaussian Q-function

被引：214

作者：

Karagiannidis, George K. ^{[1
]}

Lioumpas, Athanasios S. ^{[1
]}

机构：

[1] Aristotle Univ Thessaloniki, Dept Elect & Comp Engn, Thessaloniki 54124, Greece

来源：

IEEE COMMUNICATIONS LETTERS | 2007年 / 11卷 / 08期

关键词：

Gaussian Q-function; differentially encoded QPSK; Nakagami-m fading;

D O I：

10.1109/LCOMM.2007.070470

中图分类号：

TN [电子技术、通信技术];

学科分类号：

0809 ;

摘要：

We present a novel, simple and tight approximation for the Gaussian Q-function and its integer powers. Compared to other known closed-form approximations, an accuracy improvement is achieved over the whole range of positive arguments. The results can be efficiently applied in the evaluation of the symbol error probability (SEP) of digital modulations in the presence of additive white Gaussian noise (AWGN) and the average SEP (ASEP) over fading channels. As an example we evaluate in closed-form the ASEP of differentially encoded QPSK in Nakagami-m fading.

引用

页码：644 / 646

页数：3

共 9 条

[1]

ABRAMOWVITZ M, 1972, HDB MATH FUNCTIONS

[2]

[Anonymous], 2002, PROBABILITY DISTRIBU

[3] A SIMPLE SERIES FOR PERSONAL-COMPUTER COMPUTATION OF THE ERROR FUNCTION Q(.) [J].

BEAULIEU, NC .

IEEE TRANSACTIONS ON COMMUNICATIONS, 1989, 37 (09) :989-991

[4] SIMPLE APPROXIMATIONS OF THE ERROR FUNCTION Q(X) FOR COMMUNICATIONS APPLICATIONS [J].

BORJESSON, PO ;

SUNDBERG, CEW .

IEEE TRANSACTIONS ON COMMUNICATIONS, 1979, 27 (03) :639-643

[5] New exponential bounds and approximations for the computation of error probability in fading channels [J].

Chiani, M ;

Dardari, D ;

Simon, MK .

IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, 2003, 2 (04) :840-845

[6]

Gradshteyn I. S., 1994, TABLES INTEGRALS SER

[7]

Simon M., 2005, Digital Communication over Fading Channels, V2

[8] Single integral representations of certain integer powers of the Gaussian Q-function and their application [J].

Simon, MK .

IEEE COMMUNICATIONS LETTERS, 2002, 6 (12) :532-534

[9] Efficient computation of erfc(x) for large arguments [J].

Tellambura, C ;

Annamalai, A .

IEEE TRANSACTIONS ON COMMUNICATIONS, 2000, 48 (04) :529-532

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