%0 Conference Paper %1 5205856 %A Arikan, E. %A Telatar, I.E. %B Information Theory, 2009. ISIT 2009. IEEE International Symposium on %D 2009 %K codes error-correcting-codes polar.codes %P 1493-1495 %R 10.1109/ISIT.2009.5205856 %T On the rate of channel polarization %X 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_e(N, R) les 2^-Nbeta for any beta < 1/2 when the block-length N is large enough.

@inproceedings{5205856, abstract = {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_e(N, R) les 2^-Nbeta for any beta < 1/2 when the block-length N is large enough.}, added-at = {2015-04-07T08:56:11.000+0200}, author = {Arikan, E. and Telatar, I.E.}, biburl = {https://www.bibsonomy.org/bibtex/26ddc5195ac1df8decc582d1d4ce206a9/ytyoun}, booktitle = {Information Theory, 2009. ISIT 2009. IEEE International Symposium on}, doi = {10.1109/ISIT.2009.5205856}, interhash = {a845025b52cf96f6cdb2598b4486b836}, intrahash = {6ddc5195ac1df8decc582d1d4ce206a9}, keywords = {codes error-correcting-codes polar.codes}, month = {June}, pages = {1493-1495}, timestamp = {2015-04-07T08:56:11.000+0200}, title = {On the rate of channel polarization}, year = 2009 }