Name
Abstract | ||
|---|---|---|
Polar codes are the first class of channel codes achieving the symmetric capacity of the binary-input discrete memoryless channels (B-DMC) with efficient encoding and decoding algorithms. But the weight spectrum of polar codes is relatively poor compared to Reed-Muller (RM) codes, which degrades their maximum-likehood (ML) performance. Pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and polarization-adjusted convolutional (PAC) codes), improves weight spectrum while retaining polarization. In this paper, the weight spectrum of upper-triangular pre-transformed polar codes is mathematically analyzed. In particular, we focus on calculating the number of low-weight codewords due to their impact on error-correction performance. Simulation results verify the accuracy of the analysis. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1109/ISIT45174.2021.9517933 | 2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
0 | 6 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yuan Li | 1 | 0 | 1.01 |
| Huazi Zhang | 2 | 0 | 0.34 |
| Rong Li | 3 | 0 | 0.34 |
| Jun Wang | 4 | 9228 | 736.82 |
| Guiying Yan | 5 | 11 | 1.63 |
| Zhi-Ming Ma | 6 | 227 | 18.26 |