We investigate spatially coupled code ensembles. For transmission over the binary erasure
channel, it was recently shown that spatial coupling increases the belief propagation …

This new edition has been extensively revised to reflect the progress in error control coding
over the past few years. Over 60% of the material has been completely reworked, and 30 …

Spatially-coupled low-density parity-check (LDPC) codes, which were first introduced as
LDPC convolutional codes, have been shown to exhibit excellent performance under low …

Low-density parity-check (LDPC) convolutional codes (or spatially coupled codes) were
recently shown to approach capacity on the binary erasure channel (BEC) and binary-input …

Low-density parity-check (LDPC) convolutional codes (or spatially-coupled codes) have
been shown to approach capacity on the binary erasure channel (BEC) and binary-input …

Sparse superposition codes, also referred to as sparse regression codes (SPARCs), are a
class of codes for efficient communication over the AWGN channel at rates approaching the …

Kudekar et al. proved that the belief-propagation (BP) performance for low-density parity
check codes can be boosted up to the maximum a posteriori (MAP) performance by spatial …

In multiple-choice data structures each element in a set of keys is associated with a random
set e (x)⊆[n] of buckets with capacity by hash functions. This setting is captured by the …

Kudekar et al. proved that the belief-propagation (BP) threshold for low-density parity-check
codes can be boosted up to the maximum-a-posteriori (MAP) threshold by spatial coupling …

We establish the existence of wave-like solutions to spatially coupled graphical models
which, in the large size limit, can be characterized by a 1-D real-valued state. This is …