Molecular Polar Belief Propagation Decoder and Successive Cancellation Decoder

Polar codes have been adopted for the enhanced mobile broadband control channels for the 5th communication system. By constructing chemical reaction networks (CRNs), this paper proposes a method of synthesizing polar belief propagation (BP) decoder and successive cancellation (SC) decoder. The proposed method is suitable for polar codes with arbitrary code length and code rate. Reactions in the proposed design could be experimentally implemented with deoxyribonucleic acid (DNA) strand displacement reactions, making the proposed polar decoders promising for wide application in nanoscale devices. Theoretical analysis and simulation results have validated the feasibility of this method.