Title :
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
fDate :
5/1/2006 12:00:00 AM
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);
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2006.874003
