Polar Codes
Polar codes, introduced by Erdal Arikan in 2009, are the first constructive family of codes proven to achieve the Shannon capacity of symmetric binary-input memoryless channels. They use recursive construction and successive cancellation decoding, a simple greedy algorithm with theoretical guarantees. Polar codes were adopted in 5G NR for control channel coding and are studied for future 6G systems. Unlike turbo and LDPC codes (which are empirical), polar codes provide rigorous theoretical foundations.
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- Arikan, E. (2009). Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels. IEEE Transactions on Information Theory, 55(7), 3051-3073. · DOI 10.1109/TIT.2009.2021379
- Sasoglu, E., Telatar, I., & Yildirim, E. (2011). Polarization for arbitrary discrete memoryless channels. In Proceedings of the IEEE Information Theory Workshop (ITW), 144-148. · URL
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