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Incremental Redundancy via Check Splitting

Authors: M. Good; F.R. Kschischang;

Incremental Redundancy via Check Splitting

Abstract

A new method of creating rateless codes for noisy channels is presented. Unlike puncturing, where every punctured variable disables several checks, or extending, which creates many cycles in the code graph or creates parity checks with insufficient weight, the proposed method uses check splitting to lower the rate of the code. Check splitting operates by replacing a row r of maximum weight in the parity check matrix with two new rows s1 and s2, of approximately equal weight and with s1opluss2=r. This causes the check-node degree-distribution to remain fairly concentrated and prevents cycles from forming as the rate decreases. This scheme performs closer to capacity than Raptor codes, it can use a linear-time-encodable code such as a repeat-accumulate code, and it has nearly constant decoding complexity per information bit per iteration, independent of the effective code rate

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Average
Top 10%
Top 10%
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