Convolutional Polar Kernels

Ruslan Morozov

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arXiv · 2008.11611

Convolutional Polar Kernels

Ruslan Morozov

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Abstract

A family of polarizing kernels is presented together with polynomial-complexity algorithm for computing scaling exponent. The proposed convolutional polar kernels are based on convolutional polar codes, also known as b-MERA codes. For these kernels, a polynomial-complexity algorithm is proposed to find weight spectrum of unrecoverable erasure patterns, needed for computing scaling exponent. As a result, we obtain scaling exponent and polarization rate for convolutional polar kernels of size up to 1024.

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Ruslan Morozov. 2020-08-26. Convolutional Polar Kernels. https://arxiv.org/abs/2008.11611

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