Title :
Solutions to Infinite Integrals of Gaussian Q-Function Products and Some Applications
Author :
Chen, Yunfei ; Beaulieu, Norman C.
Author_Institution :
Univ. of Warwick, Coventry
fDate :
11/1/2007 12:00:00 AM
Abstract :
Infinite integrals involving the products of two and three Gaussian Q-functions of different arguments are solved in closed-form. These solutions provide novel expressions in the error rate analyses of signals such as general rectangular quadrature amplitude modulation, differentially encoded quaternay phase shift keying and new solutions for the error rate of the repetition code. As an example, closed-form expressions for the average symbol error rates of general rectangular quadrature amplitude modulation and the repetition code are obtained for a Nakagami-m fading channel.
Keywords :
Gaussian processes; Nakagami channels; error statistics; integral equations; quadrature amplitude modulation; Nakagami-m fading channel; error rate analysis; gaussian Q-function products closed-form solution; infinite integrals; quaternay phase shift keying; rectangular quadrature amplitude modulation; repetition code; symbol error rates; AWGN; Closed-form solution; Error analysis; Fading; Frequency shift keying; Phase shift keying; Quadrature amplitude modulation; Quality of service; Signal analysis; Signal to noise ratio;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2007.070947
