Abstract

Degree distribution of the encoded symbols is a critical factor that affects the performance of LT codes. Inspired by the SF-LT and the decreasing ripple size LT codes, we propose an SF-DRS degree distribution to construct LT codes, i.e., SF-DRS LT codes. Theoretical analysis proves that our proposed LT codes possess the property that the ripple size decreases as the decoding process continues. Moreover, with an overhead factor of slighter larger than one, the ripple size of SF-DRS LT codes remains larger than one in the entire decoding process. The performance of our proposed LT codes is compared to SF-LT codes and decreasing ripple size over a perfect channel. Simulation results reveal that the proposed SF-DRS LT codes outperform the decreasing ripple size LT codes with respect to the probability of successful decoding, the average overhead factor with a relatively large number of input symbols. Moreover, in contrast to the SF-LT codes, the SF-DRS LT codes achieve a better probability of successful decoding.

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