Shortened Polarization Kernels
Shortened Polarization Kernels
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缩短的偏振内核
DOI：
10.1109/gcwkshps52748.2021.9681982
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
Grigorii Trofimiuk
中科院分区：
文献类型：
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作者：
Grigorii Trofimiuk
给出了一种大偏振核函数的缩短方法，该方法适用于大小为32的核函数，具有最高的误差指数。该算法利用部分距离的上下界来快速剔除不合适的缩短模式，并将该算法应用于大小为16和32的核函数，得到了大小为9到31的缩短核函数。这些核被用于各种长度的混合核极性码。数值结果表明，与缩短和删截的Arikan极性码和小核极性码相比，大核缩短极性码具有更好的性能。
A shortening method for large polarization kernels is presented, which results in shortened kernels with the highest error exponent if applied to kernels of size up to 32. It uses lower and upper bounds on partial distances for quick elimination of unsuitable shortening patterns.The proposed algorithm is applied to some kernels of sizes 16 and 32 to obtain shortened kernels of sizes from 9 to 31. These kernels are used in mixed-kernel polar codes of various lengths. Numerical results demonstrate the advantage of polar codes with shortened large kernels compared with shortened and punctured Arikan polar codes, and polar codes with small kernels.