Design Puncturing Polar Codes : The Odd-numbered Criterion

We propose the odd-numbered criterion to design puncturing polar codes and a new puncturing algorithm was put out in this paper. In view of the unreasonable puncturing selection standards, unsatisfactory decoding performance and high computational complexity of the current algorithms, we do many analysis and comparison and find some rules, then we present the odd-numbered criterion, analyzing its' reliability and effectiveness. According to it we design a new algorithm based on correlation coefficient we defined, and the results manifest that the algorithm can greatly improve the decoding error rate performance of the polar code while reducing the computational complexity, it can bring great benefits to the application of the polar code in the digital communication system significantly.