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On the Comparison of Different Serial Concatenated Schemes Based on Polar and LDPC Codes
Nowadays concatenated codes are actively developed for different applications of error-correcting theory. In this paper we propose a new method for constructing concatenated codes consisting of some outer error-correcting code and a particular designed inner low-density parity-check (LDPC) code. We consider polarization-adjusted convolutional (PAC) code and LDPC code as outer code of suggested construction. Special optimization procedure was developed to obtain inner code with specific error-reducing characteristics. We apply the decoder of woven codes to this construction, while reducing the complexity of decoding procedure compared to classic decoders of LDPC and polar code. Furthermore, we improve the performance of our scheme with puncturing the code symbols. The resulting concatenated constructions outperforms low-rate LDPC from the 5G standard and polar code. Besides this, we demonstrate the performance of code with a special parity-check matrix consisting of parity-check matrices of inner and outer codes from our suggested construction.