On Generalized LDPC Codes and Their Decoders

Design of Generalized LDPC Codes and their Decoders

We first consider the design of generalized LPDC (G-LDPC) codes with recursive systematic convolutional (RSC) constraint nodes in place of the standard single parity check constraint nodes. Because rate-1/2 RSC nodes lead to low-rate G-LDPC codes, we consider high-rate tail-biting RSC nodes for which Riedel’s APP-decoder based on the reciprocal-dual code trellis becomes necessary. We present th...

On the Grobner Basis of a Family of Quasi-Cyclic LDPC Codes

Codes on Graphs and Analysis of Iterative Algorithms for Reconstructing Sparse Signals and Decoding of Check-Hybrid GLDPC Codes

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1. Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 1.1. Block Codes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 1.1.1. Linear Block Codes . . . . . . . . . . . . . . . . . . 22 1.2. Commun...

On Efficient Design of LDPC Decoders for Wireless Sensor Networks

Low density parity check (LDPC) codes are error-correcting codes that offer huge advantages in terms of coding gain, throughput and power dissipation in digital communication systems. Error correction algorithms are often implemented in hardware for fast processing to meet the real-time needs of communication systems. However,traditional hardware implementation of LDPC decoders require large am...

Fully programmable LDPC decoder hardware architectures

In recent years, the amount of digital data which is stored and transmitted for private and public usage has increased considerably. To allow a save transmission and storage of data despite of error-prone transmission media, error correcting codes are used. A large variety of codes has been developed, and in the past decade low-density parity-check (LDPC) codes which have an excellent error cor...