Design and Analysis of LowDensity ParityCheck Codes for BlockFading Channels.pdf

Design and Analysis of Low-Density Parity-Check Codes for Block-Fading Channels ´ ` ´ Joseph J. Boutros Albert Guillen i Fabregas Ezio Biglieri Gilles Zemor ENST University of Cambridge Universitat Pompeu Fabra University of Bordeaux 1 Paris, France Cambridge, UK Barcelona, Spain Bordeaux, France boutros@ guillen@ e.biglieri@ zemor@math.u-bordeaux1.fr Abstract— We solve the problem of designing powerful low- one decade after the analysis of random and periodic inter- density parity-check (LDPC) codes with iterative decoding for the leaving of convolutional codes on the block-erasure channel block-fading channel. We present a new family of full-diversity [12]. Random ensembles of low-density parity-check codes LDPC codes that exhibit near outage limit performance. This family competes with multiplexed parallel turbo codes suitable designed for ergodic additive white gaussian noise channels for non-ergodic channels and recently reported in the literature. [17][9], despite the excellent decoding threshold of their irreg- ular structures, are not full-diversity, and hence exhibit a poor performance in presence of block-fading. Repeat-accumulate I. INTRODUCTION codes that allocate bits to differ