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Finite Length Analysis of Fountain Codes Based on Stopping Set |
Lin Guang-rong Yi Na Dong Ming-ke Liang Qing-lin |
Dept. of Electronics, Peking University, Beijing 100871, China |
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Abstract Digital Fountain is a packet oriented FEC technology for erasure channels. And the performance of fountain codes is limited by the distribution of stopping sets. In the paper, a pair of bounds was proposed to estimate the decoding failure probability of finite length fountain codes. And a search algorithm of low complexity was presented to get the stopping set distribution. The comparisons show that the upper and lower bounds are very close to the simulation results.
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Received: 26 April 2007
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Corresponding Authors:
Lin Guang-rong
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