Title :
On the rate of channel polarization
Author :
Erdal Arikan;Emre Telatar
Author_Institution :
Department of Electrical-Electronics Engineering, Bilkent University, Ankara, TR-06800, Turkey
fDate :
6/1/2009 12:00:00 AM
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 Pe(N, R) les 2-Nbeta for any beta < 1/2 when the block-length N is large enough.
Keywords :
"Polarization","Zinc","Decoding","Memoryless systems","Random processes","Information theory","Laboratories","Capacity planning","Error analysis","Convergence"
Conference_Titel :
Information Theory, 2009. ISIT 2009. IEEE International Symposium on
Print_ISBN :
978-1-4244-4312-3
Electronic_ISBN :
2157-8117
DOI :
10.1109/ISIT.2009.5205856