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The Scientific World Journal
Volume 2014 (2014), Article ID 895782, 14 pages
http://dx.doi.org/10.1155/2014/895782
Research Article

A Parallel Decoding Algorithm for Short Polar Codes Based on Error Checking and Correcting

Laboratory of Satellite Communications, College of Communications Engineering, PLA University of Science and Technology, Nanjing 210007, China

Received 4 May 2014; Accepted 8 July 2014; Published 23 July 2014

Academic Editor: Lei Cao

Copyright © 2014 Yingxian Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose a parallel decoding algorithm based on error checking and correcting to improve the performance of the short polar codes. In order to enhance the error-correcting capacity of the decoding algorithm, we first derive the error-checking equations generated on the basis of the frozen nodes, and then we introduce the method to check the errors in the input nodes of the decoder by the solutions of these equations. In order to further correct those checked errors, we adopt the method of modifying the probability messages of the error nodes with constant values according to the maximization principle. Due to the existence of multiple solutions of the error-checking equations, we formulate a CRC-aided optimization problem of finding the optimal solution with three different target functions, so as to improve the accuracy of error checking. Besides, in order to increase the throughput of decoding, we use a parallel method based on the decoding tree to calculate probability messages of all the nodes in the decoder. Numerical results show that the proposed decoding algorithm achieves better performance than that of some existing decoding algorithms with the same code length.