Mine Alsan

most citedExtremality Properties for the Basic Polarization Transformations

2 citations · 4 across the 3 of their papers we have counts for

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cs.IT2013★ 1 cited

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…

cs.IT2013★ 2 cited

Extremality Properties for the Basic Polarization Transformations

Mine Alsan

We study the extremality of the BEC and the BSC for Gallager's reliability function $E_{0}$ evaluated under the uniform input distribution for binary input DMCs from the aspect of ch…

cs.IT2012★ 1 cited

Submartingale Property of E_0 Under The Polarization Transformations

Mine Alsan, Emre Telatar

We prove that the relation $E_{0} (ρ, W^{-}) + E_{0} (ρ, W^{+}) \geq 2 E_{0} (ρ, W)$ holds for any binary input discrete memoryless channel $W$ , and $ρ \geq 0$ .