In this paper, we present an efficient method to construct a goodrate-compatible punctured polar (RCPP) code. One of the major challenges on theconstruction of a RCPP code is to design a common information set which is goodfor all the codes in the family. In the proposed construction, a commoninformation set is simply optimized for the highest-rate punctured polar codein the family and then, this set is updated for each other code by satisfyingthe condition that information bits are unchanged during retransmissions. Thisis enabled by presenting a novel hierarchical puncturing and information-copytechnique. To be specific, some information bits are copied to frozen-bitchannels, which yields an information-dependent frozen vector. Then, theupdated information sets are obtained by appropriately combining the commoninformation set and an information-dependent frozen vector. Moreover, theimpact of unknown frozen bits are resolved using the proposed hierarchicalpuncturing. Simulation results demonstrate that the proposed RCPP code attainsa significant performance gain (about 2dB) over a benchmark RCPP code whereboth codes use the same puncturing patterns but the latter uses theconventional all-zero frozen vector. Therefore, the proposed method would becrucial to construct a good RCPP code.
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