Improving Polar Codes by Spatial Coupling
Improving Polar Codes by Spatial Coupling
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DOI：
10.23919/isita.2018.8664309
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发表时间：
2018-10
期刊：
影响因子：
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通讯作者：
Kai-Hsin Wang;Wei Hou;Shan Lu;Ping-Yuen Wu;Yeong-Luh Ueng;Jun Cheng
中科院分区：
文献类型：
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作者：
Kai-Hsin Wang;Wei Hou;Shan Lu;Ping-Yuen Wu;Yeong-Luh Ueng;Jun Cheng
本文利用空间耦合技术来提高有限长极化码的纠错性能。极化码被认为是耦合的基码。两种类型的空间耦合方法进行了研究。对于第一种耦合方法，每个耦合位置处的极化基码的一些消息比特被用作一侧相邻极化基码的冻结比特。对于第二种空间耦合方法，通过用模2加法组合相邻耦合位置的消息比特块来关联多个极化码。仿真结果表明，这两种空间耦合极化码在增加少量迭代复杂度的情况下，都能提供比原极化码更好的纠错性能。当耦合比为0.33，耦合模式为不确定-确定时，第一种空间耦合方法提供了最佳的性能输出。具有耦合宽度3的第二空间耦合方法提供比具有耦合宽度2的空间耦合方法更好的性能。此外，具有短消息块长度的第一种空间耦合方法提供更好的解码性能，并且具有大消息块长度的第二种方法性能更好。
In this paper, spatial coupling technique is used to improve the error-correcting performance of finite length polar codes. Polar codes are considered as base codes of coupling. Two types of spatial-coupling methods are investigated. For the first coupling method, some message bits of a polar base code at each coupling position are used as frozen bits of one-side adjacent polar base code. For the second spatial-coupling method, multiple polar codes are associated by combining message bit blocks of adjacent coupling positions with modular-two addition. Simulation results show that, with a little extra iteration complexity, the two types of spatially coupled polar codes can provide better error-correcting performance than original polar codes. When setting the coupling ratio at 0.33 and coupling pattern as Uncertain-Certain, the first spatial-coupling method provides the best performance output. The second spatial-coupling method with coupling width 3 provides better performance than that with coupling width 2. Furthermore, the first spatial-coupling method with short message block length provides better decoding performance, and the second method with large message block length performs better.