Outage thresholds of LDPC codes over nonergodic block-fading channels

This paper1 derives approximations allowing the estimation of outage probability for standard irregular LDPC codes and full-diversity Root-LDPC codes used over nonergodic block-fading channels. Two separate approaches are discussed: a numerical approximation, obtained by curve fitting, for both code ensembles, and an analytical approximation for Root-LDPC codes, obtained under the assumption that the slope of the iterative threshold curve of a given code ensemble matches the slope of the outage capacity curve in the high-SNR regime.

[1]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[2]  Ezio Biglieri,et al.  Low-Density Parity-Check Codes for Nonergodic Block-Fading Channels , 2007, IEEE Transactions on Information Theory.

[3]  J. Boutros Diversity and coding gain evolution in graph codes , 2009, 2009 Information Theory and Applications Workshop.

[4]  T. Fuja,et al.  Design of good low-density parity-check codes for block fading channels , 2004, IEEE MILCOM 2004. Military Communications Conference, 2004..

[5]  Gaston H. Gonnet,et al.  On the LambertW function , 1996, Adv. Comput. Math..