期刊
IEEE TRANSACTIONS ON COMMUNICATIONS
卷 61, 期 7, 页码 2593-2599出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCOMM.2013.052013.120543
关键词
Polar codes; polarizing matrix; density evolution; frozen bit; matrix reduction; puncturing
资金
- National Research Foundation (NRF) of Korea [2011-0017396]
- Ministry of Education, Science and Technology (MEST) of the Korea Government
- National Research Foundation of Korea [2011-0017396] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
Length-compatible polar codes are a class of polar codes which can support a wide range of lengths with a single pair of encoder and decoder. In this paper we propose a method to construct length-compatible polar codes by employing the reduction of the 2(n) x 2(n) polarizing matrix proposed by Arikan. The conditions under which a reduced matrix becomes a polarizing matrix supporting a polar code of a given length are first analyzed. Based on these conditions, length-compatible polar codes are constructed in a suboptimal way by codeword-puncturing and information-refreezing processes. They have low encoding and decoding complexity since they can be encoded and decoded in a similar way as a polar code of length 2(n). Numerical results show that length-compatible polar codes designed by the proposed method provide a performance gain of about 1.0-5.0 dB over those obtained by random puncturing when successive cancellation decoding is employed.
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