On the rate of channel polarization
暂无分享,去创建一个
A bound is given on the rate of channel polarization. As a corollary, an earlier bound on the probability of error for polar coding is improved. Specifically, it is shown that, for any binary-input discrete memoryless channel W with symmetric capacity I(W) and any rate R ≪ I(W), the polar-coding block-error probability under successive cancellation decoding satisfies P<inf>e</inf>(N, R) ≤ 2<sup>−Nβ</sup> for any β ≪ 1/2 when the block-length N is large enough.
[1] Rüdiger L. Urbanke,et al. Polar codes: Characterization of exponent, bounds, and constructions , 2009, 2009 IEEE International Symposium on Information Theory.
[2] Erdal Arikan,et al. Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels , 2008, IEEE Transactions on Information Theory.