A Puncturing Algorithm of Polar Code Based on Gaussian Approximation

The influence of channel construction process on the algorithm performance is not considered in the existing polar code puncturing algorithms. To solve this problem, a Puncturing algorithm of Polar Code based on Gaussian Approximation (GAPPC) is proposed. Firstly, using Gaussian approximation for channel construction of polar code and analyzing the relationship between Gaussian approximation and puncturing algorithm, the modified Gaussian approximation function is derived to reduce the output value of channel construction with introduced Gaussian correction factors. Then the ordered channel reliability set is obtained by ordering the polarization subchannels under the channel construction with the modified Gaussian approximation function. Finally, the mapping rule is determined according to the relationship of channel capacity, and the puncturing bit set and frozen bit set are selected so that the puncturing polar code is completed. Experimental results show that the frame error rate and bit error rate are significantly reduced under different code lengths and bit rates.