The present invention relates to a device (102b, 104b) for generating a multi-kernel polar code ϰ N of length N and dimension K on the basis of a first transformation matrix G N of size N x N defining a first multi-kernel polar code. The device (102b, 104b) comprises a processor (102c, 104c) configured to generate a second transformation matrix G' N of size N x N by permuting the order of at least two columns of a sub-matrix of the first transformation matrix G N , and generate the multi-kernel polar code ϰ N on the basis of the following equation: ϰ N = u N ⋅ G' N , wherein u N = (u 0 ,..., u N-1 ) is a vector of size N, with the elements u i , i = 0,... N - 1, corresponding to an information bit if i ε /, / being a set of K information bit indices, and u i = 0, if i ε F, F being a set of N - K frozen bit indices.
Device and method for generating a multi-kernel polar code
BIOGLIO V
First
;
2017-01-01
Abstract
The present invention relates to a device (102b, 104b) for generating a multi-kernel polar code ϰ N of length N and dimension K on the basis of a first transformation matrix G N of size N x N defining a first multi-kernel polar code. The device (102b, 104b) comprises a processor (102c, 104c) configured to generate a second transformation matrix G' N of size N x N by permuting the order of at least two columns of a sub-matrix of the first transformation matrix G N , and generate the multi-kernel polar code ϰ N on the basis of the following equation: ϰ N = u N ⋅ G' N , wherein u N = (u 0 ,..., u N-1 ) is a vector of size N, with the elements u i , i = 0,... N - 1, corresponding to an information bit if i ε /, / being a set of K information bit indices, and u i = 0, if i ε F, F being a set of N - K frozen bit indices.File | Dimensione | Formato | |
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