Convolutional low density parity check codes (LDPC-CCs) are a relatively new class of powerful error control codes. The advantage of these codes over other capacity-approaching codes (e.g. Turbo codes and block-oriented LDPC codes) is that they can encode data blocks of arbitrary length. The goal of our project is to investigate high-performance software implementations of the encoding and deco...

Low-density parity-check (LDPC) code is a linear error correcting code, a method of transmitting a message over a noisy transmission channel, and is constructed using a sparse bipartite graph. LDPC codes are capacityapproaching codes, LDPC codes are finding increasing use in applications requiring reliable and highly efficient information transfer over bandwidth or return channel–constrained li...

Low-density parity-check (LDPC) coded orthogonal-frequency-division multiplexing (OFDM) is studied as an efficient coded modulation technique suitable for fiber-optics communication systems. We show that in long-haul fiber optics communications LDPC-coded OFDM increases spectral efficiency and requires simple equalization to deal with chromatic dispersion. LDPC-coded OFDM is also a promising po...

A new method for low-complexity near-maximum-likelihood (ML) decoding of low-density parity-check (LDPC) codes over the additive white Gaussian noise channel is presented. The proposed method termed beliefpropagation–list erasure decoding (BP-LED) is based on erasing carefully chosen unreliable bits performed in case of BP decoding failure. A strategy of introducing erasures into the received v...

Today’s mobile information society has a steady demand for everincreasing data rates and better quality-of-service in wireless systems. To meet this demand standards organizations involved with the wireless industry are increasingly relying on modern high-performance channel codes such as low-density parity-check (LDPC) and turbo codes. These forward error-correction codes achieve near-optimal ...

Low-Density Parity-Check (LDPC) codes have recently drawn much attention due to their nearcapacity error correction performance, and are currently in the focus of many standardization activities, e.g., IEEE 802.11n, IEEE 802.16e, and ETSI DVB-S. In this contribution, we discuss several aspects related to the practical application of such codes to wireless communications systems. We consider fle...

This paper presents a novel approach for constructing structured regular QC-LDPC codes based on a special type of combinatorial designs,known as the balanced incomplete block design (BIBD).The code design approach based on the technology of block cyclic shift and dispertion (BCSD) for correcting erasure-bursts over the binary bursts erasure channel (BBEC). Furthermore, the Tanner graph of the c...

An algebraic group ring method for constructing codes with no short cycles in the check matrix is derived. It is shown that the matrix of a group ring element has no short cycles if and only if the collection of group differences of this element has no repeats. When applied to elements in the group ring with small support this gives a general method for constructing and analysing low density pa...

We study a modification method for constructing lowdensity parity-check (LDPC) codes for solid burst erasures. Our proposed modification method is based on a column permutation technique for a parity-check matrix of the original LDPC codes. It can change the burst erasure correction capabilities without degradation in the performance over random erasure channels. We show by simulation results t...

Protograph-based non-binary low-density parity-check (LDPC) codes with ultra-sparse parity-check matrices are compared with binary LDPC and turbo codes (TCs) from space communication standards. It is shown that larger coding gains are achieved, outperforming the binary competitors by more than 0.3 dB on the additive white Gaussian noise channel (AWGN). In the short block length regime, the desi...