English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this letter, we explore the performance limits of short polar codes andfind that the maximum likelihood (ML) performance of a simple CRC-polarconcatenated scheme can approach the finite blocklength capacity. Then, inorder to approach the ML performance with a low average complexity, a CRC-aidedhybrid decoding (CA-HD) algorithm is proposed and its decoding process isdivided into two steps. In the first step, the received sequence is decoded bythe adaptive successive cancellation list (ADSCL) decoding. In the second step,CRC-aided sphere decoding with a reasonable initial radius is used to decodethe received sequence. To obtain the reasonable radius, the CRC bits of thesurvival paths in ADSCL are recalculated and the minimum Euclidean distancebetween the survival path and the received sequence is chosen as the initialradius. The simulation results show that CA-HD can achieve within about$0.025$dB of the finite blocklength capacity at the block error ratio $10^{-3}$with code length $128$ and code rate $1/2$.

Approaching the Finite Blocklength Capacity within 0.025dB by Short Polar Codes and CRC-Aided Hybrid Decoding