Submartingale Property of E_0 Under The Polarization Transformations

Emre Telatar; Mine Alsan

arxiv: 1207.6788 · v1 · pith:OBDHSHL3new · submitted 2012-07-29 · 💻 cs.IT · math.IT

Submartingale Property of E₀ Under The Polarization Transformations

Mine Alsan , Emre Telatar This is my paper

classification 💻 cs.IT math.IT

keywords binarychanneldiscreteholdsinputmemorylesspolarizationproperty

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We prove that the relation $E_0(\rho, W^{-}) + E_0(\rho, W^{+}) \geq 2 E_0(\rho, W)$ holds for any binary input discrete memoryless channel $W$, and $\rho \geq 0$.

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Submartingale Property of E₀ Under The Polarization Transformations

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