论文信息 - Solutions to Infinite Integrals of Gaussian Q-Function Products and Some Applications

Solutions to Infinite Integrals of Gaussian Q-Function Products and Some Applications

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.

Norman C. Beaulieu | Yunfei Chen

[1] Rong Li,et al. Averages of the product of two Gaussian Q-functions over fading statistics and applications , 2007, IEEE Communications Letters.

[2] Marvin K. Simon,et al. Single integral representations of certain integer powers of the Gaussian Q-function and their application , 2002, IEEE Communications Letters.

[3] Norman C. Beaulieu,et al. A useful integral for wireless communication theory and its application to rectangular signaling constellation error rates , 2006, IEEE Transactions on Communications.

[4] Mohamed-Slim Alouini,et al. Digital Communication over Fading Channels: Simon/Digital Communications 2e , 2004 .

[5] Mohamed-Slim Alouini,et al. A recursive algorithm for the exact BER computation of generalized hierarchical QAM constellations , 2003, IEEE Trans. Inf. Theory.

[6] Pil Lee. Computation of the Bit Error Rate of Coherent M-ary PSK with Gray Code Bit Mapping , 1986, IEEE Trans. Commun..

[7] George K. Karagiannidis,et al. On the symbol error probability of general order rectangular qam in nakagami-m fading , 2006, IEEE Communications Letters.

[8] D. Owen. A table of normal integrals , 1980 .