Cooperative Punctured Polar Coding (CPPC) Scheme Based on Plotkin’s Construction

Abstract

A new cooperative punctured polar coding (CPPC) scheme with multi joint successive cancellation (MJSC) decoding at the destination is proposed, which may be obtained by applying puncturing algorithm to cooperative polar coding scenario. In this proposed algorithm we generate a cooperative scheme for punctured polar codes with various code lengths by employing the reduction of the general polarizing matrix combined with the cooperative construction to match the multilevel characteristics of polar codes. Punctured polar codes which are a class of polar codes can support a wide range of lengths for a given rate. Hence in our CPPC scheme, the punctured polar codes can be first constructed by eliminating some of the frozen bits such that the values of the punctured bits are known to the decoder. Then the proposed coded cooperative construction is employed to match the Plotkin’s construction between the two relay nodes. This scheme has low encoding and decoding complexity since it can be encoded and decoded in a similar way as a classical polar code. The CPPC scheme offers a cooperative coding which not only improves the data rate of the cooperative system, but also improves the overall bit error rate performance. Numerical results show that cooperative punctured polar codes constructed by our approach perform much better than those by the conventional direct approach.