549 citations · 1.3k across the 49 of their papers we have counts for
5 papers · 1 filter
Polar Codes: Robustness of the Successive Cancellation Decoder with Respect to Quantization
S. Hamed Hassani, Rudiger Urbanke
Polar codes provably achieve the capacity of a wide array of channels under successive decoding. This assumes infinite precision arithmetic. Given the successive nature of the deco…
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.…
Universal Bounds on the Scaling Behavior of Polar Codes
Ali Goli, S. Hamed Hassani, Rudiger Urbanke
We consider the problem of determining the trade-off between the rate and the block-length of polar codes for a given block error probability when we use the successive cancellatio…
Lossy Source Coding via Spatially Coupled LDGM Ensembles
Vahid Aref, Nicolas Macris, Rudiger Urbanke +1
We study a new encoding scheme for lossy source compression based on spatially coupled low-density generator-matrix codes. We develop a belief-propagation guided-decimation algorit…
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…