This paper reviews in a tutorial way channel polarization exploited in successive cancellation decoding of polar codes, focusing on the binary erasure channel. Polarization phenomenon is tackled by decomposing a multi-input multi-output channel into virtual channels and by analyzing the mutual information evolution over each such channel. This evolution is shown to be closely related to the binary representation of the virtual channel index, which allows performing an exact mutual information analysis for each virtual channel via a transformation chart and to analyze eigenformations. A simple performance bound for polar codes, exploiting the above described analysis, is also reviewed.

Chiani M., Paolini E. (2019). A Note on Channel Polarization and Mutual Information Transformation Charts of Polar Codes. Institute of Electrical and Electronics Engineers Inc. [10.23919/AEIT.2019.8893326].

A Note on Channel Polarization and Mutual Information Transformation Charts of Polar Codes

Chiani M.;Paolini E.
2019

Abstract

This paper reviews in a tutorial way channel polarization exploited in successive cancellation decoding of polar codes, focusing on the binary erasure channel. Polarization phenomenon is tackled by decomposing a multi-input multi-output channel into virtual channels and by analyzing the mutual information evolution over each such channel. This evolution is shown to be closely related to the binary representation of the virtual channel index, which allows performing an exact mutual information analysis for each virtual channel via a transformation chart and to analyze eigenformations. A simple performance bound for polar codes, exploiting the above described analysis, is also reviewed.
2019
2019 AEIT International Annual Conference, AEIT 2019
1
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Chiani M., Paolini E. (2019). A Note on Channel Polarization and Mutual Information Transformation Charts of Polar Codes. Institute of Electrical and Electronics Engineers Inc. [10.23919/AEIT.2019.8893326].
Chiani M.; Paolini E.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/724232
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