14 citations · 23 across the 6 of their papers we have counts for
6 papers
From Polar to Reed-Muller Codes: a Technique to Improve the Finite-Length Performance
Marco Mondelli, S. Hamed Hassani, Rüdiger Urbanke
We explore the relationship between polar and RM codes and we describe a coding scheme which improves upon the performance of the standard polar code at practical block lengths. Ou…
Universal Polar Codes
S. Hamed Hassani, Rudiger Urbanke
Polar codes, invented by Arikan in 2009, are known to achieve the capacity of any binary-input memoryless output-symmetric channel. One of the few drawbacks of the original polar c…
The Least Degraded and the Least Upgraded Channel with respect to a Channel Family
Wei Liu, S. Hamed Hassani, Ruediger Urbanke
Given a family of binary-input memoryless output-symmetric (BMS) channels having a fixed capacity, we derive the BMS channel having the highest (resp. lowest) capacity among all ch…
Scaling Exponent of List Decoders with Applications to Polar Codes
Marco Mondelli, S. Hamed Hassani, Rüdiger Urbanke
Motivated by the significant performance gains which polar codes experience under successive cancellation list decoding, their scaling exponent is studied as a function of the list…
On the scaling of Polar Codes: II. The behavior of un-polarized channels
S. Hamed Hassani, Kasra Alishahi, Rudiger Urbanke
We provide upper and lower bounds on the escape rate of the Bhattacharyya process corresponding to polar codes and transmission over the the binary erasure channel. More precisely,…
Performance of Polar Codes for Channel and Source Coding
Nadine Hussami, Satish Babu Korada, Rudiger Urbanke
Polar codes, introduced recently by Arıkan, are the first family of codes known to achieve capacity of symmetric channels using a low complexity successive cancellation decoder. Al…