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 …

Iterative decoding threshold analysis for LDPC convolutional codes

M Lentmaier, A Sridharan, DJ Costello… - IEEE Transactions …, 2010 - ieeexplore.ieee.org
An iterative decoding threshold analysis for terminated regular LDPC convolutional
(LDPCC) codes is presented. Using density evolution techniques, the convergence behavior …

[图书][B] Concise encyclopedia of coding theory

WC Huffman, JL Kim, P Solé - 2021 - api.taylorfrancis.com
Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

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 …

Windowed decoding of spatially coupled codes

AR Iyengar, PH Siegel, RL Urbanke… - IEEE transactions on …, 2012 - ieeexplore.ieee.org
Spatially coupled codes have been of interest recently owing to their superior performance
over memoryless binary-input channels. The performance is good both asymptotically, since …

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 …

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 …

Absorbing set characterization of array-based spatially coupled LDPC codes

DGM Mitchell, L Dolecek… - 2014 IEEE International …, 2014 - ieeexplore.ieee.org
Absorbing sets are combinatorially defined objects existing in the Tanner graph of a low-
density parity-check (LDPC) code that have been shown to cause failures in the iterative …