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A study on channel polarization and polar coding
2011 9th IEEE International Conference on ASIC, 2011In 2006, Arikan introduced the method of channel polarization on which one can construct efficient capacity-achieving codes, called polar codes, for any binary discrete memoryless channel (B-DMC). In this letter, we will give a description of the main ideas and mechanisms of this kind of codes.
Yichao Lu, Satoshi Goto
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Nature Reviews Molecular Cell Biology, 2004
Cell polarization is used both to mediate physical fates, as, for example, in orientated cell migration, and to specify differential phenotypic fates, as in the asymmetric division of stem cells. Strikingly, the same sets of conserved proteins are used throughout the Metazoa for these purposes.
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Cell polarization is used both to mediate physical fates, as, for example, in orientated cell migration, and to specify differential phenotypic fates, as in the asymmetric division of stem cells. Strikingly, the same sets of conserved proteins are used throughout the Metazoa for these purposes.
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IEEE Transactions on Information Theory, 2015
An optimization algorithm for finding a shortening pattern and a set of frozen symbols for polar codes is proposed. The structure of polar codes is exploited to eliminate many equivalent shortening patterns, thus reducing the search space. A reduced-complexity suboptimal algorithm is proposed for finding shortening patterns for long polar codes ...
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An optimization algorithm for finding a shortening pattern and a set of frozen symbols for polar codes is proposed. The structure of polar codes is exploited to eliminate many equivalent shortening patterns, thus reducing the search space. A reduced-complexity suboptimal algorithm is proposed for finding shortening patterns for long polar codes ...
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2013 IEEE International Symposium on Information Theory, 2013
We study a family of polar codes whose frozen set is such that it discards the bit channels for which the mutual information falls below a certain (fixed) threshold. We show that if the threshold, which might depend on the code length, is bounded appropriately, a coding theorem can be proved for the underlying polar code.
Jing Guo +2 more
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We study a family of polar codes whose frozen set is such that it discards the bit channels for which the mutual information falls below a certain (fixed) threshold. We show that if the threshold, which might depend on the code length, is bounded appropriately, a coding theorem can be proved for the underlying polar code.
Jing Guo +2 more
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Practical Product Code Construction of Polar Codes
IEEE Transactions on Signal Processing, 2020Valerio Bioglio +2 more
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