549 citations · 1.3k across the 49 of their papers we have counts for
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Threshold Saturation in Spatially Coupled Constraint Satisfaction Problems
S. Hamed Hassani, Nicolas Macris, Rudiger Urbanke
We consider chains of random constraint satisfaction models that are spatially coupled across a finite window along the chain direction. We investigate their phase diagram at zero…
Rate-Dependent Analysis of the Asymptotic Behavior of Channel Polarization
S. Hamed Hassani, Ryuhei Mori, Toshiyuki Tanaka +1
For a binary-input memoryless symmetric channel , we consider the asymptotic behavior of the polarization process in the large block-length regime when transmission takes place…
Universal Rateless Codes From Coupled LT Codes
Vahid Aref, Rüdiger L. Urbanke
It was recently shown that spatial coupling of individual low-density parity-check codes improves the belief-propagation threshold of the coupled ensemble essentially to the maximu…
Scaling Behavior of Convolutional LDPC Ensembles over the BEC
Pablo M. Olmos, Rüdiger Urbanke
We study the scaling behavior of coupled sparse graph codes over the binary erasure channel. In particular, let 2L+1 be the length of the coupled chain, let M be the number of vari…
Windowed Decoding of Spatially Coupled Codes
Aravind R. Iyengar, Paul H. Siegel, Rudiger L. Urbanke +1
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…
Coupled Graphical Models and Their Thresholds
S. Hamed Hassani, Nicolas Macris, Ruediger Urbanke
The excellent performance of convolutional low-density parity-check codes is the result of the spatial coupling of individual underlying codes across a window of growing size, but…