- Authors:
-
Saha,
S.
,
Adrat,
M.
,
Massny,
L.
,
Schrammen,
M.
,
Jax,
P.
- Book Title:
- 15th International Conference on Signal Processing and Communication Systems (ICSPCS)
- Publisher:
- IEEE
- Date:
-
Dec. 2021
- DOI:
- 10.1109/ICSPCS53099.2021.9660284
- Language:
- English
Abstract
The basic approach introduced by Arikan in [1] to polarize equal capacity channels to unequal capacities, can be used to design only codewords of length N = 2n, which is clearly a major limitation when codewords of length N = 2n are required. In order to systematically construct polarization kernels of size 3 and higher, a recursive construction technique is devel- oped in this paper, that describes each kernel as a concatenation of smaller kernels. Optimally designing and selecting kernels over the underlying system parameters is based on the evolution of z-parameter values (i.e. effect of channel polarization) of the bit channels, which are used to define a design metric ζ. The complex process of optimizing kernel designs, which depends on a wide range of parameters particularly the coderate, is simplified by this metric and its effectiveness is validated by comparative error rate performance.
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