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arXiv · 1911.07137

Study of Non-Uniform Channel Polarization and Design of Polar Codes with Arbitrary Rates

Robert M. Oliveira·Rodrigo C. de Lamare
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Abstract

In this paper, we present the concept of non-uniform channel polarization and a scheme for rate-compatible polar code construction for any codeword length using additive white Gaussian noise (AWGN) channels and the successive cancellation (SC) decoder. A Non-Uniform Polarization technique based on the Gaussian Approximation (NUPGA) is developed and an efficient rate-compatible design technique is devised to choose the best channels for transmission by a process of re-polarization of the codeword with the desired length. Simulations illustrate the proposed NUPGA design against existing rate-compatible techniques.

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Robert M. Oliveira, Rodrigo C. de Lamare. 2019-11-17. Study of Non-Uniform Channel Polarization and Design of Polar Codes with Arbitrary Rates. https://arxiv.org/abs/1911.07137

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