Title | Simplified Calculation of Bhattacharyya Parameters in Polar Codes |
Publication Type | Conference Paper |
Year of Publication | 2020 |
Authors | Xiong, J., Zhang, L. |
Conference Name | 2020 IEEE 14th International Conference on Anti-counterfeiting, Security, and Identification (ASID) |
Keywords | BEC channel, Bhattacharyya parameter, Bhattacharyya Parameter method, Bhattacharyya parameters, binary erasure channel, block codes, calculated complexity, channel capacity, channel coding, channel reliability, code construction, complementary channel condition, Complexity theory, composability, computational complexity, encoding, error correction codes, error probability, error statistics, K most reliable polarizing channels, Maximum likelihood decoding, memoryless systems, Metrics, N polarizing channels, nonsystematic polar code, polar codes, pubcrawl, reliability, Reliable channel, Resiliency, telecommunication network reliability |
Abstract | 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. |
DOI | 10.1109/ASID50160.2020.9271700 |
Citation Key | xiong_simplified_2020 |