Nested polar codes for wiretap and relay channels

Authors:
Mattias Andersson;Vishwambhar Rathi;Ragnar Thobaben;Jörg Kliewer;Mikael Skoglund
Affiliations:
School of Electrical Engineering and the ACCESS Linnaeus Center, Royal Institute of Technology, Stockholm, Sweden;School of Electrical Engineering and the ACCESS Linnaeus Center, Royal Institute of Technology, Stockholm, Sweden;School of Electrical Engineering and the ACCESS Linnaeus Center, Royal Institute of Technology, Stockholm, Sweden;Klipsch School of Electrical and Computer Engineering, New Mexico State University, Las Cruces, NM;School of Electrical Engineering and the ACCESS Linnaeus Center, Royal Institute of Technology, Stockholm, Sweden
Venue:
IEEE Communications Letters
Year:
2010

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Abstract

We show that polar codes asymptotically achieve the whole capacity-equivocation region for the wiretap channel when the wiretapper's channel is degraded with respect to the main channel, and the weak secrecy notion is used. Our coding scheme also achieves the capacity of the physically degraded receiver-orthogonal relay channel. We show simulation results for moderate block length for the binary erasure wiretap channel, comparing polar codes and two edge type LDPC codes.