Name
Abstract | ||
|---|---|---|
Multi-kernel polar codes are constructed from the Kronecker product. For ordinary multi-kernels, constituent polarizing matrices of the same stage are identical. However, in a stage, applying different constituent matrices based on channel property can further improve performance. This family of polar codes is defined as hybrid multi-kernel polar codes. Exponents of hybrid multi-kernels are analyzed. The matrix of a hybrid multi-kernel is generated by a Kronecker-like product operation, and so are partial distances. All exponents of hybrid multi-kernels take values between the maximum and the minimum exponents among all constituent matrices. Exponents are related to the error probability of the original channel and exhibit a trend of convergence as block-length increases. The convergence rate is also related to the original error probability. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1109/ISTC.2018.8625322 | 2018 IEEE 10th International Symposium on Turbo Codes & Iterative Information Processing (ISTC) |
Keywords | Field | DocType |
exponent,polar codes,hybrid multi-kernel,partial distances | Convergence (routing),Applied mathematics,Kronecker product,Exponent,Matrix (mathematics),Communication channel,Polar,Rate of convergence,Multi kernel,Mathematics | Conference |
ISSN | ISBN | Citations |
2165-4700 | 978-1-5386-7049-1 | 0 |
PageRank | References | Authors |
0.34 | 3 | 3 |