Low-delay low-complexity error-correcting codes on sparse graphs
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Institute of Electrical and Electronics Engineers2013
Building on polar code constructions proposed by
the authors for deterministic broadcast channels, two theorems
are introduced in the present paper for noisy two-user broadcast
channels. The theorems establish polar code constructions for two
important ...
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 Arikan's construction, the resulting channels will polarize to one of five possible extremals, on each of which uncoded tran ...
Institute of Electrical and Electronics Engineers2013
This paper considers a framework where data from correlated sources are transmitted with help of network coding in ad-hoc network topologies. The correlated data are encoded independently at sensors and network coding is employed in the intermediate nodes ...
Institute of Electrical and Electronics Engineers2013
A polarization phenomenon in a special sense is shown for an arbitrary discrete memoryless channel (DMC) by imposing a quasigroup structure on the input alphabet. The same technique is used to derive a polarization theorem for an arbitrary multiple access ...
Polar codes are constructed for arbitrary channels by imposing an arbitrary quasigroup structure on the input alphabet. The block error probability under successive cancellation decoding decays exponentially with the square root of the block length. It is ...
