A useful integral for wireless communication theory and its application to rectangular signaling constellation error rates

Author

Beaulieu, Norman C.

Author_Institution

Dept. of Electr. & Comput. Eng., Alberta Univ., Edmonton, Alta., Canada

Volume

54

Issue

5

fYear

2006

fDate

5/1/2006 12:00:00 AM

Firstpage

802

Lastpage

805

Abstract

A useful integral, representing the average over Rayleigh fading of the product of two Gaussian Q-functions, is solved in closed-form. A closed-form solution for the symbol-error probability of general rectangular quadrature amplitude modulation in Rayleigh fading is derived.

Keywords

Gaussian processes; Rayleigh channels; error statistics; integral equations; quadrature amplitude modulation; radio networks; telecommunication signalling; Gaussian Q-functions; Rayleigh fading; integral; rectangular quadrature amplitude modulation; rectangular signaling constellation error rates; symbol-error probability; wireless communication theory; AWGN; Bit error rate; Closed-form solution; Constellation diagram; Error analysis; Integral equations; Phase shift keying; Quadrature amplitude modulation; Rayleigh channels; Wireless communication; Error function; Rayleigh distribution; fading channels; quadrature amplitude modulation (QAM); symbol-error probability (SEP);

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2006.874003

Filename

1632093