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2021-03-15
Xiong, J., Zhang, L..  2020.  Simplified Calculation of Bhattacharyya Parameters in Polar Codes. 2020 IEEE 14th International Conference on Anti-counterfeiting, Security, and Identification (ASID). :169–173.
The construction of polar code refers to selecting K "most reliable polarizing channels" in N polarizing channels to WN(1)transmit information bits. For non-systematic polar code, Arikan proposed a method to measure the channel reliability for BEC channel, which is called Bhattacharyya Parameter method. The calculated complexity of this method is O(N) . In this paper, we find the complementarity of Bhattacharyya Parameter. According to the complementarity, the code construction under a certain channel condition can be quickly deduced from the complementary channel condition.