Bounds on the lambert function and their application to the outage analysis of user cooperation

IEEE Communications Letters

Volumn 17, Issue 8, 2013, Pages 1505-1508

  Chatzigeorgiou, Ioannis ^a  

^a LANCASTER UNIVERSITY   (United Kingdom)

Author keywords

bounds; cooperation; decode and forward; Lambert function; outage probability; Rayleigh fading

Indexed keywords

BOUNDS; COOPERATION; DECODE - AND - FORWARDS; LAMBERT FUNCTION; OUTAGE PROBABILITY;

ELECTRICAL ENGINEERING; MATHEMATICAL MODELS;

RAYLEIGH FADING;

EID: 84883109641     PISSN: 10897798     EISSN: None     Source Type: Journal    
DOI: 10.1109/LCOMM.2013.070113.130972     Document Type: Article

References (12)

1. R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, "On the Lambert W function," Adv. Computational Math., vol. 5, no. 1, pp. 329-359, Jan. 1996. (Pubitemid 126729167)
2. T. Cui, T. Ho, and J. Kliewer, "Memoryless relay strategies for two-way relay channels," IEEE Trans. Commun., vol. 57, no. 10, pp. 3132-3143, Oct. 2009.
3. C. Tellambura and D. Senaratne, "Accurate computation of the MGF of the lognormal distribution and its application to sum of lognormals," IEEE Trans. Commun., vol. 58, no. 5, pp. 1568-1577, May 2010.
4. D. Wu, Y. Cai, L. Zhou, and J. Wang, "A cooperative communication scheme based on coalition formation game in clustered wireless sensor networks," IEEE Trans. Wireless Commun., vol. 11, no. 3, pp. 1190-1200, Mar. 2012.
5. F. Chapeau-Blondeau and A. Monir, "Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2," IEEE Trans. Signal Process., vol. 50, no. 9, pp. 2160-2164, Sep. 2002.
6. A. Hoorfar and M. Hassani, "Inequalities on the Lambert W function and hyperpower function," J. Inequalities in Pure and Applied Math., vol. 9, no. 2, 2008.
7. S. M. Stewart, "On certain inequalities involving the Lambert W function," J. Inequalities in Pure and Applied Math., vol. 10, no. 4, 2009.
8. D. A. Barry, L. Li, and D.-S. Jeng, "Comments on 'Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2'," IEEE Trans. Signal Process., vol. 52, no. 5, pp. 1456-1458, May 2004.
9. A. Sendonaris, E. Erkip, and B. Aazhang, "User cooperation diversity-part I: system description," IEEE Trans. Commun., vol. 51, no. 11, pp. 1927-1938, Nov. 2003.
10. Y. Xi, A. Burr, J. Wei, and D. Grace, "A general upper bound to evaluate packet error rate over quasi-static fading channels," IEEE Trans. Wireless Commun., vol. 10, no. 5, pp. 1373-1377, May 2011.
11. Y. Zhao, R. Adve, and T. J. Lim, "Outage probability at arbitrary SNR with cooperative diversity," IEEE Commun. Lett., vol. 9, no. 8, pp. 700-702, Aug. 2005. (Pubitemid 41554340)
12. I. Chatzigeorgiou, I. J. Wassell, and R. Carrasco, "On the frame error rate of transmission schemes on quasi-static fading channels," in Proc. 2008 Conf. on Information Sciences and Systems.