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The Compound Capacity of Polar Codes
S. Hamed Hassani, Satish Babu Korada, Ruediger Urbanke
We consider the compound capacity of polar codes under successive cancellation decoding for a collection of binary-input memoryless output-symmetric channels. By deriving a sequenc…
Polar Codes are Optimal for Lossy Source Coding
Satish Babu Korada, Rudiger Urbanke
We consider lossy source compression of a binary symmetric source using polar codes and the low-complexity successive encoding algorithm. It was recently shown by Arikan that polar…
Polar Codes: Characterization of Exponent, Bounds, and Constructions
Satish Babu Korada, Eren Sasoglu, Rudiger Urbanke
Polar codes were recently introduced by Arıkan. They achieve the capacity of arbitrary symmetric binary-input discrete memoryless channels under a low complexity successive cancell…
A Class of Transformations that Polarize Symmetric Binary-Input Memoryless Channels
Satish Babu Korada, Eren Sasoglu
A generalization of Arıkan's polar code construction using transformations of the form where is an matrix is considered. Necessary and suffic…
Tight Bounds on the Capacity of Binary Input random CDMA Systems
Satish Babu Korada, Nicolas Macris
We consider multiple access communication on a binary input additive white Gaussian noise channel using randomly spread code division. For a general class of symmetric distribution…
Exchange of Limits: Why Iterative Decoding Works
Satish Babu Korada, Ruediger Urbanke
We consider communication over binary-input memoryless output-symmetric channels using low-density parity-check codes and message-passing decoding. The asymptotic (in the length) p…