On the Rate of Channel Polarization

Details On the Rate of Channel Polarization On the Rate of Channel Polarization

2008-07-24

arxiv.org/abs/0807.3806v3

Computer Science

Information Theory

Some minor corrections

Scientific paper

It is shown that for any binary-input discrete memoryless channel $W$ with
symmetric capacity $I(W)$ and any rate $R decoding error for polar coding under successive cancellation decoding
satisfies $P_e \le 2^{-N^\beta}$ for any $\beta<\frac12$ when the block-length
$N$ is large enough.

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