V2EX polar code

Polar Code

Definition / 定义

Polar code(极化码):一种纠错码(error-correcting code),由埃尔达勒阿里坎(Erdal Arkan)提出。它通过“信道极化”把一组子信道分成可靠不可靠两类,只在可靠子信道上传输信息,从而在合适的编码长度与译码策略下实现接近香农极限(信道容量)的性能。该术语也常泛指一类基于极化思想的编码与译码方案。(在通信标准中尤为常见,如 5G 控制信道)

Pronunciation / 发音

/polr kod/

Examples / 例句

Polar codes are used in 5G control channels.
极化码被用于 5G 的控制信道中。

By using successive-cancellation decoding, a polar code can approach channel capacity as the block length increases.
通过使用连续消除译码,随着码长增加,极化码可以逼近信道容量。

Etymology / 词源

polar 源自 “pole(极点)”的概念,这里引申为“向两极分化”。在信息论里,“信道极化(channel polarization)”指经过特定的递归变换后,子信道的可靠性逐渐分化到两个极端:要么几乎完美、要么几乎不可用;code 指“编码/码”。因此 polar code 直译可理解为“基于极化原理构造的编码”。

Related Words / 相关词汇

Literary Works / 文学作品

  • Erdal Arkan (2009), Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels(提出并系统阐述 polar code 的经典论文)
  • Thomas M. Cover & Joy A. Thomas, Elements of Information Theory(信息论教材,常作为理解信道容量与编码极限的背景读物;相关版本与后续文献中常与 polar codes 一并讨论)
  • Robert G. Gallager, Information Theory and Reliable Communication(经典可靠通信理论著作;后续研究与教材在讨论现代容量逼近码时常引用并对比 polar codes)
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