Threshold saturation via spatial coupling: Why convolutional LDPC ensembles perform so well over the BEC

S Kudekar, TJ Richardson… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
Convolutional low-density parity-check (LDPC) ensembles, introduced by Felström and
Zigangirov, have excellent thresholds and these thresholds are rapidly increasing functions …

Spatially coupled ensembles universally achieve capacity under belief propagation

S Kudekar, T Richardson… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
We investigate spatially coupled code ensembles. For transmission over the binary erasure
channel, it was recently shown that spatial coupling increases the belief propagation …

Spatially coupled LDPC codes constructed from protographs

DGM Mitchell, M Lentmaier… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
In this paper, we construct protograph-based spatially coupled low-density parity-check
(LDPC) codes by coupling together a series of L disjoint, or uncoupled, LDPC code Tanner …

Quasi-cyclic LDPC codes: Influence of proto-and Tanner-graph structure on minimum Hamming distance upper bounds

R Smarandache, PO Vontobel - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
Quasi-cyclic (QC) low-density parity-check (LDPC) codes are an important instance of proto-
graph-based LDPC codes. In this paper we present upper bounds on the minimum …

Deriving good LDPC convolutional codes from LDPC block codes

AE Pusane, R Smarandache… - IEEE Transactions …, 2011 - ieeexplore.ieee.org
Low-density parity-check (LDPC) convolutional codes are capable of achieving excellent
performance with low encoding and decoding complexity. In this paper, we discuss several …

Lowering the error floor of LDPC codes using cyclic liftings

R Asvadi, AH Banihashemi… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
Cyclic liftings are proposed to lower the error floor of low-density parity-check (LDPC) codes.
The liftings are designed to eliminate dominant trapping sets of the base code by removing …

The effect of spatial coupling on compressive sensing

S Kudekar, HD Pfister - 2010 48th Annual Allerton Conference …, 2010 - ieeexplore.ieee.org
Recently, it was observed that spatially-coupled LDPC code ensembles approach the
Shannon capacity for a class of binary-input memoryless symmetric (BMS) channels. The …

Eliminating trapping sets in low-density parity-check codes by using Tanner graph covers

M Ivkovic, SK Chilappagari… - IEEE transactions on …, 2008 - ieeexplore.ieee.org
We discuss error floor asympotics and present a method for improving the performance of
low-density parity-check (LDPC) codes in the high SNR (error floor) region. The method is …

Minimum distance and trapping set analysis of protograph-based LDPC convolutional codes

DGM Mitchell, AE Pusane… - IEEE transactions on …, 2012 - ieeexplore.ieee.org
Low-density parity-check (LDPC) convolutional codes have been shown to be capable of
achieving capacity-approaching performance with iterative message-passing decoding. In …

Spatially coupled turbo-like codes: A new trade-off between waterfall and error floor

S Moloudi, M Lentmaier… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Spatially coupled turbo-like codes (SC-TCs) have been shown to have excellent decoding
thresholds due to the threshold saturation effect. Furthermore, even for moderate block …