# A Simple Proof of Fast Polarization

## TL;DR

This paper provides a simplified proof of the fast polarization property of polar codes, which was previously established for binary kernels and generalized by Sasoglu, enhancing understanding of polar code behavior.

## Contribution

The paper introduces a simplified proof of the fast polarization phenomenon in polar codes, making the concept more accessible and easier to understand.

## Key findings

- Simplified proof of fast polarization for binary polarizing kernels
- Clarifies the theoretical foundation of polar code polarization
- Potentially facilitates further research and applications in coding theory

## Abstract

Fast polarization is an important and useful property of polar codes. It was proved for the binary polarizing $2 \times 2$ kernel by Arikan and Telatar. The proof was later generalized by Sasoglu. We give a simplified proof.