5 citations · 21 across the 11 of their papers we have counts for
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Extremality for Gallager's Reliability Function
Mine Alsan
We describe certain extremalities for Gallager's function evaluated under the uniform input distribution for binary input discrete memoryless channels. The results characteri…
The Symmetric Convex Ordering: A Novel Partial Order for B-DMCs Ordering the Information Sets of Polar Codes
Mine Alsan
In this paper, we propose a novel partial order for binary discrete memoryless channels that we call the symmetric convex ordering. We show that Arıkan's polar transform preserves…
Universal Polar Decoding with Channel Knowledge at the Encoder
Mine Alsan
Polar coding over a class of binary discrete memoryless channels with channel knowledge at the encoder is studied. It is shown that polar codes achieve the capacity of convex and o…
Properties of the Polarization Transformations for the Likelihood Ratios of Symmetric B-DMCs
Mine Alsan
In this paper we investigate, starting with a symmetric B-DMC, the evolution of various probabilities of the likelihood ratios of the synthetic channels created by the recursive ap…
Conditions for Robustness of Polar Codes in the Presence of Channel Mismatch
Mine Alsan
A challenging problem related to the design of polar codes is "robustness against channel parameter variations" as stated in Arıkan's original work. In this paper, we describe how…
Extremality Properties for the Basic Polarization Transformations
Mine Alsan
We study the extremality of the BEC and the BSC for Gallager's reliability function evaluated under the uniform input distribution for binary input DMCs from the aspect of ch…