Information geometry of turbo and LDPC codes


Turbo and LDPC (low-density parity check) codes are simple and new types of error correction codes which give a powerful and practical performance of error correction. Although experimental results show their efficacy, further theoretical analysis is necessary, which is not straightforward. We have built a unified framework of turbo and LDPC codes based on information geometry. The framework helps our intuitive understanding of the codes and opens a new prospect of further analysis. We have revealed some properties of these codes in the proposed framework. This paper summarizes the results.

Proceedings of 2005 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP2005)