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Study of Turbo Codes and Decoding in Binary Erasure Channel Based on Stopping Set Analysis
Jeong Woo LEE
Publication
IEICE TRANSACTIONS on Communications
Vol.E89-B
No.4
pp.1178-1186 Publication Date: 2006/04/01 Online ISSN: 1745-1345
DOI: 10.1093/ietcom/e89-b.4.1178 Print ISSN: 0916-8516 Type of Manuscript: PAPER Category: Fundamental Theories for Communications Keyword: turbo codes, iterative decoding, stopping set, block/bit erasure probability, error floor,
Full Text: PDF(350.6KB)>>
Summary:
In this paper, we define a stopping set of turbo codes with the iterative decoding in the binary erasure channel. Based on the stopping set analysis, we study the block and bit erasure probabilities of turbo codes and the performance degradation of the iterative decoding against the maximum-likelihood decoding. The error floor performance of turbo codes with the iterative decoding is dominated by the small stopping sets. The performance degradation of the iterative decoding is negligible in the error floor region, so the error floor performance is asymptotically dominated by the low weight codewords.
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