549 citations · 722 across the 11 of their papers we have counts for
12 papers
Displacement Convexity in Spatially Coupled Scalar Recursions
Rafah El-Khatib, Nicolas Macris, Tom Richardson +1
We introduce a technique for the analysis of general spatially coupled systems that are governed by scalar recursions. Such systems can be expressed in variational form in terms of…
Analysis of Coupled Scalar Systems by Displacement Convexity
Rafah El-Khatib, Nicolas Macris, Tom Richardson +1
Potential functionals have been introduced recently as an important tool for the analysis of coupled scalar systems (e.g. density evolution equations). In this contribution, we inv…
Analysis of Saturated Belief Propagation Decoding of Low-Density Parity-Check Codes
Shrinivas Kudekar, Tom Richardson, Aravind Iyengar
We consider the effect of log-likelihood ratio saturation on belief propagation decoder low-density parity-check codes. Saturation is commonly done in practice and is known to have…
The Effect of Saturation on Belief Propagation Decoding of LDPC Codes
Shrinivas Kudekar, Tom Richardson, Aravind Iyengar
We consider the effect of LLR saturation on belief propagation decoding of low-density parity-check codes. Saturation occurs universally in practice and is known to have a signific…
Wave-Like Solutions of General One-Dimensional Spatially Coupled Systems
Shrinivas Kudekar, Tom Richardson, Ruediger Urbanke
We establish the existence of wave-like solutions to spatially coupled graphical models which, in the large size limit, can be characterized by a one-dimensional real-valued state.…
Spatially Coupled Ensembles Universally Achieve Capacity under Belief Propagation
Shrinivas Kudekar, Tom Richardson, Ruediger Urbanke
We investigate spatially coupled code ensembles. For transmission over the binary erasure channel, it was recently shown that spatial coupling increases the belief propagation thre…