Title :
Polar coding schemes for the AWGN channel
Author :
Abbe, Emmanuel ; Barron, Andrew
Author_Institution :
Fac. Inf. et Commun., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland
fDate :
July 31 2011-Aug. 5 2011
Abstract :
This paper investigates polar coding schemes achieving capacity for the AWGN channel. The approaches using a multiple access channel with a large number of binary-input users and a single-user channel with a large prime-cardinality input are compared with respect to complexity attributes. The problem of finding discrete approximations to the Gaussian input is then investigated, and it is shown that a quantile quantizer achieves a gap to capacity which decreases like 1/q (where q is the number of constellation points), improving on the 1/log(q) decay achieved with a binomial (central limit theorem) quantizer.
Keywords :
AWGN channels; channel capacity; channel coding; AWGN channel capacity; Gaussian input; binary-input users; binomial quantizer; constellation points; discrete approximations; multiple access channel; polar coding schemes; prime-cardinality input; quantile quantizer; single-user channel; AWGN channels; Channel capacity; Complexity theory; Decoding; Encoding; Memoryless systems; Mutual information;
Conference_Titel :
Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4577-0596-0
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2011.6033892