Polar codes for the two-user multiple-access channel

Details Polar codes for the two-user multiple-access channel Polar codes for the two-user multiple-access channel

2010-06-22

arxiv.org/abs/1006.4255v1

Computer Science

Information Theory

12 pages. Submitted to the IEEE Transactions on Information Theory

Scientific paper

Arikan's polar coding method is extended to two-user multiple-access channels. It is shown that if the two users of the channel use the Arikan construction, the resulting channels will polarize to one of five possible extremals, on each of which uncoded transmission is optimal. The sum rate achieved by this coding technique is the one that correponds to uniform input distributions. The encoding and decoding complexities and the error performance of these codes are as in the single-user case: $O(n\log n)$ for encoding and decoding, and $o(\exp(-n^{1/2-\epsilon}))$ for block error probability, where $n$ is the block length.

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